How do you find the integral of sin^2(x) dx?
Sin^2(x) cannot be integrated in its current form so you must use trigonometric identities to change sin^2(x) into something else.
Use the formula for cox(2x): cos(2x)=cos(x+x)=cos^2(x)-sin^2(x)
Now use that cos^2(x)=(1-sin^2(x))
So cos(2x)=1-2sin^2(x)
Rearrange the equation to find that sin^2(x)=1/2-1/2(cos(2x))
Now you can integrate to get that the integral of sin^2(x)=1/2x-1/4sin(2x)
CW
Related Maths A Level answers
All answers ▸A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.
For the function f(x) = 4x^3 -3x^2 - 6x, find a) All points where df/dx = 0 and b) State if these points are maximum or minimum points.
How do you complete the square?
Find the equation of the tangent line to the parabola y=x^2+3x+2 at point P(1, 6).