What Is the Integral of Sin^2?

The integral of sin^2 is one-half of x, minus one-eighth of the sine of 4x, plus a constant. Using mathematical notation, the integral of sine squared can be written as sin^2 x dx = 1/2 * x – 1/8 * sin(4x) + C.

Sine squared can be integrated using the half-angle integration technique. According to the half-angle rule, the sine squared of x is equal to one-half minus one-half of the cosine of 2x. The half-angle formula is considered a sum formula in calculus, as is the double angle formula used to find the integral of cosine squared. The half-angle formula makes use of the Pythagorean Theorem.