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Home > CALC > Chapter 5 > Lesson 5.2.5 > Problem 5-107

5-107.
  1. Examine the integrals below. Consider the multiple tools available for evaluating integrals and use the best strategy for each. After evaluating the integral, write a short description of your method. Homework Help ✎

You could rewrite the integrand as a piecewise function. Or you could sketch the graph (it's a transformation of y = |x|) and use geometry.

Before you integrate, rewrite the integrand with exponents.

Notice the bounds.

Don't panic! What famous trig function has a derivative of sec²x?

tanx + c