Definite integral....

\int_{0}^{1}\frac{dx}{2+\sqrt{1-x}+\sqrt{1+x}}

Solve :)

4 Answers

62
Lokesh Verma ·

No one yet!!

Hint for tushar tomorrow ;)

3
msp ·

x=sinθ

dx=cosθdθ
I=\int_{0}^{\pi /2}{\frac{cos\theta d\theta }{2(1+sin(\theta /2))}}

which is now integrable form.

1
Philip Calvert ·

one thing how did you know it was
(sinθ/2 - cosθ/2)2 and not (cosθ/2 - sinθ/2)2 ??

in precise words what happened to the | |

3
msp ·

mmm yes,i agree. then i have to split the integral.

dat may also be a reason for no pink. :P

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