Evaluate the integral.

Question

Evaluate the integral.

³π^/2₀ 4 | sinx | dx

Evaluate the integral.

Integral [0, 3π/2] 4 |sinx | dx

Answer 1

Hi Kelly

If I am reading your notation correctly, you are trying to integrate the function 4 sin x from x = 0 to x = 3pi/2.

Since the 4 is a constant, it can be moved outside the integral. So you are left just trying to integrate sin x dx from 0 to 3pi/2. You will then multiply that value by 4.

The integral of sin x dx is -cos x. Substituting your limits of integration in you will have

- cos (3pi/2) - (- cos (0))

= -(0) - (- (1))

= 0 + 1

= 1

Then, don't forget to multiply by 4, so 4(1) = 4.

Hope this helps,

Jim