Can someone please show me how to find the integral of sin squared x?
Certainly! To find the integral of sin^2(x), you can use various methods such as trigonometric identities or integration techniques. One commonly used method is to use the double-angle identity for sine.
The double-angle identity for sine states that sin^2(x) = (1/2)(1 - cos(2x)). By using this identity, we can rewrite the integral as follows:
∫sin^2(x) dx = ∫(1/2)(1 - cos(2x)) dx
Now, we can split this integral into two separate integrals and apply the power rule of integration:
∫(1/2)(1 - cos(2x)) dx = (1/2)∫(1 dx - cos(2x) dx) = (1/2)(x - (1/2)sin(2x)) + C
Therefore, the integral of sin^2(x) is equal to (1/2)(x - (1/2)sin(2x)) + C, where C is the constant of integration.