Question

plz tell me the integration of sin(x)/3+sin(2x)

Answer 1

\[\int\limits \frac{ sinx }{ 3} *dx +\int\limits 2sinx*cosx *dx\]

Answer 2

integration of sin = -cos

Answer 3

-cosx/3

Answer 4

sin2x=2sinx*cosx
it is an identity

Answer 5

so now we have 2sinx*cosx

Answer 6

let sinx=t
differentiate
cosx*dx=dt

Answer 7

\[\int\limits2*sinx*cosx*dx=2* \int\limits t*dt\]

Answer 8

arpit can u solve it now

Answer 9

yes i can solve it thxxx Gorv

Answer 10

welcm:)

Answer 11

Notice that the integral of sin(2x) is -(1/2)cos(2x), to see this without subbing just take the derivative of the result, and see how I just did the opposite for the chain rule. (its a good trick)

Answer 12

It is easy to undo the chain rule, if only constants are involved

Answer 13

@Arpit97 you should give @gorv a medal for helping you understand.