Question

is sin(x^2) the same as sin^2x

Answer 1

I believe so.

Answer 2

just to make it clearer \[\sin(x^2)=\sin^2x?\]

Answer 3

Still believe that's true.

Answer 4

no

\[\sin^2(x) = \sin(x)\sin(x)\]
\[\sin(x^{2}) = \sin(x^{2}) \]

Answer 5

how about we sub in a value to see if it is true

Answer 6

so how would i integrate \[\sin(x^2)\]

Answer 7

put in pi/4

into both functions and see if they give you the same output

Answer 8

as I suspected
https://www.wolframalpha.com/input/?i=sin%28%28pi%2F4%29^2%29+%3D+sin^2%28pi%2F4%29