Email
Chat with tutor
logo

Ask Questions, Get Answers

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

Integrate : $ \int \large\frac{1}{(x)^{5/2}}$$dx$

\[\begin {array} {1 1} (a)\;\frac{-5}{2} x^{-5/2} \\ (b)\;\frac{-2}{3} x^{-3/2} \\ (c)\;\frac{3}{2}(x) ^{3/2} \\ (d)\;\frac{5}{2} x^{5/2} \end {array}\]

1 Answer

Comment
A)
$ \int \large\frac{1}{(x)^{5/2}}$$dx$
=> $ \large\frac{x^{-5/2+1}}{-5/2+1}$$+c$
=> $\large\frac{-2}{3} $$ \times x^{-3/2} +c$
=> $\large\frac{-2}{3} $$ \times \frac{1}{x^{-3/2}} +c$
=>$\large\frac{-2}{3}$$ x^{-3/2}+c$
Hence b 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.
...