Problem

Integrate the functions. $$ x \cos ^{-1} x $$

04:00

Problem 8 Easy Difficulty

Integrate the functions.
$$
x \tan ^{-1} x
$$

Answer

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Calculus 2 / BC

NCERT Class 12 Part 2 - Math

Chapter 7

Integrals

Section 6

Integration by Parts

Discussion

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Video Transcript

We have our number eight in this we have to find we have to integrate X 10 universe X. Dx. So let us assume this to be first function took a second function according to I let you rule whereas investment dramatic function elements. Let's make a mathematics females. You're gonna meet you and emails exponential according to the integration by part it will be first function integration of second function minus integration of differentiation of first function, integration of second function, Second function and DX. So this will be access required by two 10 6-. This will be Acts that is expired by two. So 1 by two let us take common differentiation of this is run by one plus extra square and here which will be in to access choir dx. So This will become access squired by two 10 in over 6 -1 x two. That is right. It has access squared plus one and minus one by access Choir plus one and the X. So the syntax is required by two, 10 for 6 -1 x two. They're separated out. It will be expired by penn. Plax asked by X squared +11 dx Minour integration of one buyer X squared plus one dx Okay, so access choir by two. This is general sex minus one by two integration. In fact one is x minus this is 10 or six. Let's see. So this will be accessed choir by two. Okay then in the worst air minus Acts by two plus one by two. Then it was explicitly this should be the answer Thank you so much.

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