Evaluate
$\int^{\pi/2}_0 \frac{\cos^4x + \sin x \cos^3 x + \sin^2x\cos^2x + \sin^3x\cos x}{\sin^4x + \cos^4x + 2\ sinx\cos^3x + 2\sin^2x\cos^2x + 2\sin^3x\cos x} dx$
BDMO National Higher Secondary 2018/7
- nahin munkar
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- Joined:Mon Aug 17, 2015 6:51 pm
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# Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss
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- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BDMO National Higher Secondary 2018/7
Answer
$\dfrac{\pi}{4}$
Short solution
After a bit manipulation we can get the given expression as below
and then we can easily get the answer. As writing the full solution is very time consuming ,I am not posting the full solution.Screenshot is taken from www.wolframalpha.com .
$\dfrac{\pi}{4}$
Short solution
After a bit manipulation we can get the given expression as below
and then we can easily get the answer. As writing the full solution is very time consuming ,I am not posting the full solution.Screenshot is taken from www.wolframalpha.com .
-
- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BDMO National Higher Secondary 2018/7
An interesting solution is available here.