Page 1 of 1
BDMO National Higher Secondary 2018/7
Posted: Tue Jan 08, 2019 5:55 pm
by nahin munkar
Evaluate
$\int^{\pi/2}_0 \frac{\cos^4x + \sin x \cos^3 x + \sin^2x\cos^2x + \sin^3x\cos x}{\sin^4x + \cos^4x + 2\ sinx\cos^3x + 2\sin^2x\cos^2x + 2\sin^3x\cos x} dx$
Re: BDMO National Higher Secondary 2018/7
Posted: Sun Feb 10, 2019 10:54 am
by samiul_samin
Answer
$\dfrac{\pi}{4}$
Short solution
After a bit manipulation we can get the given expression as below
Screenshot_2019-02-10-11-02-23-1.png
and then we can easily get the answer.
Screenshot_2019-02-10-10-48-07-1.png
As writing the full solution is very time consuming ,I am not posting the full solution.Screenshot is taken from
www.wolframalpha.com .
Re: BDMO National Higher Secondary 2018/7
Posted: Mon Feb 25, 2019 12:25 am
by samiul_samin
An interesting solution is available
here.