# What is the antiderivative of sin²(x)?

Updated on January 19, 2024

Answer: The antiderivative of sin²(x) can be expressed as (x/2) – (1/4)sin(2x) + C, where C is the constant of integration.

## Exploring Antiderivatives

Antiderivatives, or indefinite integrals, represent the reverse process of differentiation in calculus. The antiderivative of sin²(x) is found using trigonometric identities and integration techniques. It’s a crucial concept in calculus, providing a way to calculate areas, volumes, and solve physics problems involving motion. Understanding antiderivatives is fundamental for students and professionals in fields such as engineering, physics, and mathematics.

## FAQ on Exploring Antiderivatives

### What is the antiderivative of cos(x)?

The antiderivative of cos(x) is sin(x) + C.

### What is the antiderivative of x²?

The antiderivative of x² is (1/3)x³ + C.

### What is the antiderivative of e^x?

The antiderivative of e^x is e^x + C.