Problem

Find the integrals of the functions. $$ \sin ^{3}…

02:15

Problem 4 Easy Difficulty

Find the integrals of the functions.
$$
\sin ^{3}(2 x+1)
$$

Answer

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Calculus 2 / BC

NCERT Class 12 Part 2 - Math

Chapter 7

Integrals

Section 3

Methods of Integration

Discussion

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Video Transcript

so we have our number four and that we need to solve. And the integration science squad. So thank you. Two X plus one. Oh we have to do like this. Okay so first of all let us start with substitution. Let us substitute two X plus one equal to be so D. X. Will be equal to after differentiating one by two DT. Or this will become one by two sign QP beat it. Now Science Beauty could be written as one by two. Science quality into Brianti DT. Now from pythagorean identity science party will be written as one minus causes quality. I am PDT so no one by two. Scientific E. D. T minus one by two causes choir T sci fi pg. It will simply be one by two. Integration of scientists minus course t minus costs minus one by two. If you substitute 70 equal to why they will be getting if you substitute cost equal to y cost equal to Y. So minus I in T D T equal to divide. So scientology beat equal to minus Dy. So this is minus DY. So if you plug in here will be here it will become place and dear squired and so why squared away why square diva and its integration. So this will be simply minus one by two. Cause the less one by two. Y. Que by three plus. See why is minus Y is cost minus one by two. Costea plus one by two because Q. T by three plus C. No uh he is two X plus one. So we'll be writing minus one by two cause two X plus one plus one by six. Ask you two X plus one. Let's see. Okay this should be the answer. Thank you so much. This is a correct answer.

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