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Evaluate the indefinite integral. $ \displayst…

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Problem 35 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \sqrt{\cot x} \csc^2 x \, dx $


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Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Related Topics

Integrals

Integration

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Lia S.

March 30, 2018

cos (1 + 5t) dt evaluate the integral

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Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

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Video Transcript

we know that you is co tension axe, which means that d u is negative. Cosi get squared axe DX, which means that de axe is negative. D'You divided by Chris Eakin scored axe which means that we now have negative times the integral of squirter You d view, which is negative. 2/3 You 23 over two cc's were using the power rule pussy on back. Substituting you is co tangent of acts we end up with negative to third time's a square root of coach engine cute of acts, plus C is our solution.

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Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
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Evaluate the indefinite integral. $\int \sqrt{\cot x} \csc ^{2} x d x$

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