# How about solution. ( I = ?)

##### 2 Answers

#### Explanation:

We wish to know what the following integral evaluates to:

Start by removing the constants from the integrand.

We will let

Integrate

Integrate the (constant) term

Finally, substitute our original constants back into

This is our final answer.

Given

#I = int_0^2 int_0^1 -10^4 cos(2x) e^(-2) dx dz#

#=>I = -10^4 e^(-2) int_0^2 int_0^1 cos(2x) dx dz#

First Integrate outer integral with respect to

#I = -10^4 e^(-2) | (int_0^1 cos(2x) dx)z|_0^2 #

#=>I = -10^4 e^(-2)xx2 int_0^1 cos(2x) dx #

Now Integrate with respect to

#I = -10^4 e^(-2)xx2 | 1/2 sin(2x) |_0^1 #

#=>I = -10^4 e^(-2) sin2#