Definite Integral Trig Function

Question

∫ l sinx l dx, 0, 3pi/2

please help me calculate definite integral of absolute value of sin x from 0 to 3pi/2

Answer 1

Split the integral of |sinx| into two integrals. Where is sinx positive? Evaluate the integral of sinx over those bounds. Where is sinx negative? Evaluate -sinx over those bounds. Add the two integrals together.