How to integrate (sin^2)x?

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.

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