Question

what is the integral of sin^2x dx?

Answer 1

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Answer 2

sin^2(x)=(1-cos(2x))/2

Answer 3

thanks

Answer 4

you're welcome :). And if you integrate sin^2(x) over one or more full "loops" there is a trick since the average of sin^2(x) over a period is 1/2

Answer 5

for example:
\[\int\limits_{0}^{\pi}\sin^2(x)dx=\frac{\pi \int\limits_{0}^{\pi}\sin^2(x)dx}{\pi}=\frac{\pi}{2}\]

Answer 6

I am an engineer:) I have to solve this basic equation:)

Answer 7

allright then I geuss don't worry about it:)

Answer 8

I have calculus final today and I forgot the integral of sin^2x:D

Answer 9

oh allright well you can just use the trig identity. integral of cos^2 is similar:

cos^2(x)=(1+cos(2x))/2

Answer 10

these are just the trig identities you still have to integrate by the way

Answer 11

int sin^2(x)= (x/2)-(sin(2x)/4)+C