Question

Integral:

Answer 1

\[\int\limits_{}^{}\frac{ \sin(x) }{ \sin(x)+\cos(x) }dx\]

Answer 2

First I don't know where to begin I've tried substitution but I don't see it

Answer 3

oh, times both numerator and denominator by (sin - cos). Try it. I got the answer from there .

Answer 4

Is it an Indefinite Integral or you have the bounds? something like:\[\int\limits_{0}^{\frac{\pi}{2}}\frac{ \sin x }{ \sin x+\cos x }dx\]

Answer 5

@Loser66 you mean like multipling with conjugate

Answer 6

@mukushla it's indefinite

Answer 7

ok, go with @Loser66 then :-)

Answer 8

yes, and times (-1) to both to get cos(2x) from the denominator.

Answer 9

@Loser66 continue

Answer 10

@Loser66 continue please

Answer 11

hihihi... I did, on the paper.