CPM Homework Help : CALC Problem 11-22

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

Hint (a):

Use u-substitution. Let u = sec(x).

Hint (b):

cos²(x) – sin²(x) = cos(2x)

More Help (b):

Use u-substitution. Let u = sin(2x).

Step (c):

Note: Given dx, x is the only variable.

$\left.=\frac{3}{5}ax^{5/3}-bx\right|_0^a$

Hint (d):

The integrand is a multiple of an inverse trigonometric function. Which one?