# Calculus Word Problems: What is the value of the area over the interval?

Calculus: Integrate functions and use calculus to solve problems.

1. Find the following integrals

a) e^5x dx

b) cos x sin 5x dx

c) (3x + 4)/(x + 3) dx

d) (2x + 5)/(x^2 + 5x) dx

2. The diagram shows the shape of a metal component required in a manufacturing process. The area of the flat metal component is described by the area between the graph of y = (e^x)(sin(x)), the x axis, and the lines x = 0.2 and x = 1.0. Using a numerical method find a value for the area. Use an interval of 0.2.

3. Evaluate the interval (2 - x(=)^4 dx

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#### Solution Summary

This provides an example of using integrals to solve a word problem.

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