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© BrainMass Inc. brainmass.com March 4, 2021, 7:06 pm ad1c9bdddf
This provides an example of using integrals to solve a word problem.