CPM Homework Help : CALC Problem 5-107

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 ✎

Hint (a):

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.

Hint (b):

Before you integrate, rewrite the integrand with exponents.

Hint (c):

Notice the bounds.

Hint (d):

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

Answer (d):

tanx + c