Integrate

∫([3+2cosx)/(2+3cosx)2]dx

8 Answers

1
Akand ·

is tht GIF.????? i kno its not.....just askin 2 inc my posts...hehe

1
The Scorpion ·

\int \frac{\frac{3+2cosx}{sin^{2}x}}{\frac{(2+3cosx)^{2}}{sin^{2}x}}dx

\int \frac{3cosec^{2}x+2cosecx.cotx}{(2cosecx+3cotx)^{2}}dx

This is of the form

-\int \frac{f'(x)}{(f(x))^{2}}dx

i hope u can solve it from here... :)

62
Lokesh Verma ·

awesome mak

I tried this one for over half an hour :P

1
Akand ·

MAK ROCKSSSSSSSSSSSSSSSSSSS..............................bhaiya giv him an extra pink..................wat a gr8 method....cooooolllll

1
The Scorpion ·

:D

wanna share one more thing...

if d expression is of d form

\int \frac{a+bsinx}{(asinx+b)^{2}}dx

then dividing numerator n denominator with cos2x will give d above format... :)

11
Aditya Balasubramanyam ·

Dude . Amazing......
Thank You Vmuch MAK.

21
tapanmast Vora ·

Nice meth MAK!!

39
Dr.House ·

one more thing, anytime if we have even powers of sin and cos in denominator, we should multiply and divide the denominatr by cos2. this helps in most of the cases i have seen.

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