Problem

Make the given changes in the indicated examples …

Problem 1 Easy Difficulty

Make the given changes in the indicated examples of this section and then solve the given problems.
In Example $1,$ change $\sec ^{2} x^{2}$ to $\sec ^{2} x^{3} .$ What other change must be made in the integrand to have a result of $\tan x^{3}+C ?$

Answer

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 4

Basic Trigonometric Forms

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Video Transcript

in this question were given the first part inside this integration and this is the putt but it is to be replaced so that the final answer is equals two tangent X. Q plus C. So to find out what to replace in this red box over here, we need to differentiate engine execute plus C. When we differentiate engine execute Class C, we will be doing them by the differentiation for the first turn, tension, execute, we will be differentiating the engine first And differentiating tension. We get 2nd square and just repeat whatever is over here, execute now it is the turn to differentiate, execute. When we differentiate execute, we bring down the power tree, repeat the X. And subtract one to the power so there's two plus for constancy. When we differentiate we just get zero so it looks like three x square is to replace the X over here. So we will replace the integration X. Dx with she X square the X.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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