# How to integrate (sin^2)x?

Updated on July 7, 2023

Answer: The integral of (sin^2)x dx is 1/2x – 1/4sin(2x) + C.

## Calculus Basics

The integral of a function gives us the antiderivative or the indefinite integral. For (sin^2)x, the integral can be found using the power-reducing identity, which simplifies the expression to 1/2(1 – cos(2x)). The integral of this expression is 1/2x – 1/4sin(2x) + C, where C is the constant of integration.

## FAQ on Calculus

### How to integrate (cos^2)x?

The integral of (cos^2)x dx is 1/2x + 1/4sin(2x) + C.

### How to integrate sin(x)?

The integral of sin(x) dx is -cos(x) + C.

### How to integrate cos(x)?

The integral of cos(x) dx is sin(x) + C.