Evaluate the integral and interpret it as the area of a region. 𝜋/2|2 sin(x) − 2 cos(2x)| dx0

What is the integral of the function f(x) = sin 2x?

The area under the curve y=|cosx−sinx|, 0≤x≤π2, and above x-axis is :

Evaluate the integral. (Use C for the constant of integration.)(x2 + 2x) cos(x) dx

Sketch the region enclosed by the given curves.y = 4 cos(𝜋x),    y = 8x2 − 2 Find its area.

Evaluate the following integral:∫0𝜋/2𝑥sin⁡(𝑥) 𝑑𝑥∫ 0π/2​ xsin(x)dx