# Evaluate: {eq}\displaystyle \int_{\frac{\pi}{2}}^{\pi} \int_{0}^{x^2} \frac{1}{x} \cos \left( \frac{y}{x} \right) \mathrm{d}y\ \mathrm{d}x {/eq}.

## Question:

Evaluate: {eq}\displaystyle \int_{\frac{\pi}{2}}^{\pi} \int_{0}^{x^2} \frac{1}{x} \cos \left( \frac{y}{x} \right) \mathrm{d}y\ \mathrm{d}x {/eq}.

## Double Integration:

The process of integration can be implemented multiple times, which is called iterated integration. This can be done over multiple variables for expressions that contain more than one independent variable. The order to which variable we would be integrating is indicated by the order of the differential terms of the integrand.