Question

INtegral

Answer 1

\[\int\limits \sin2x\]

Answer 2

dx

Answer 3

Use substitution u=2x and see what you can get from there

Answer 4

I tried a different way, I did u=2x already but this time I am doing by supposing sin 2x=2sinxcosx

Answer 5

i got totally different answer so I am looking for help

Answer 6

it is possible to have different answer, but you can see that they only differ by a constant

Answer 7

Using your method you get sin^2 x +C

Answer 8

Using substitution method we get (-1/2)cos(2x) +C

Answer 9

But notice that (-1/2)cos(2x) = (-1/2) ( 1 - 2sin^2 x )= -1/2 + sin^2 x

Answer 10

so (-1/2) cos(2x) and sin^2 x have the same derivative.

Answer 11

i.e., they are both antiderivative of sin(2x)

Answer 12

thanks those were the answers I got