Mathematical identities | Lists of integrals

Lists of integrals

Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. This page lists some of the most common antiderivatives. (Wikipedia).

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Integral of 1/(2 - sec²x)

Trig identities and partial fraction decomposition. New math videos every Wednesday. Subscribe to make sure you see them!

From playlist Integrals

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What is an integral and it's parts

👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower li

From playlist The Integral

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Integration 4 The Definite Integral Part 3 Example 1

An example using the definite integral.

From playlist Integration

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Find the area enclosed by the two curves using two integrals

Keywords 👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite integral. A definite integral is an integral in

From playlist Evaluate Integrals

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How to find the integral using long division and natural logarithms

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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What is the constant rule of integration

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Learn how to use u substitution to integrate a polynomial

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Learn how to integrate u substitution with trig

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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How to use u substitution to find the indifinite integral

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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Integration by Parts and Areas under Curves | Algebraic Calculus One | Wild Egg

We start with a purely algebraic Integration by Parts formula, which is a consequence of the Product Rule for Faulhaber Derivatives. Then we apply this to the Fundamental Theorem to get two asymmetric versions of it. Looking at the geometrical significance following a favourite picture o

From playlist Algebraic Calculus One

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Integration by parts | Revision for Maths A-Level and IB

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Study (daily and weekly) planners https://www.prim

From playlist A-Level Maths | Revision Playlist

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Change of Variable and Integration by Substitution | Algebraic Calculus One | Wild Egg

We use the Chain rule to derive the Integration by Substitution formula, and then investigate the remarkable Change of Variable formula that shows that the notion of signed area, even if defined originally in terms of a parametrized curve, is actually independent of that parametrization, i

From playlist Algebraic Calculus One

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Integration by Substitution | Revision for Maths A-Level and IB

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Study (daily and weekly) planners https://www.prim

From playlist A-Level Maths | Revision Playlist

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Apply u substitution to a polynomial

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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How to apply u substitution to radicals

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Integration | Special Examples | Revision for Maths A-Level and IB

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Tutoring - We can match you with an experienced t

From playlist A-Level Maths | Revision Playlist

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How to integrate with e in the numerator and denominator

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Learn how to find the general solution to an antiderivative of cosine

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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