Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
Answer
Comment
Share
Q)

Integrate : $\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $

$(a)\;e^x \sin ^{-1} x +c \\(b)\;\sin ^{-1}+c \\(c)\;x+c \\ (d)\;None$

1 Answer

Comment
A)
$\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $
=> $ \int e^x . \sin ^{-1} x dx + e^x. \large\frac{1}{\sqrt {1-x^2}}$$dx$
=> $\sin ^{-1}x.e^x -\int \large\frac{1}{\sqrt {1+x^2}}$$ \times e^x dx \int e^x \times \large\frac{1}{\sqrt {1-x^2}}$$dx$
$e^x \sin ^{-1} x +c$
Hence a is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...