CPM Homework Help : CALC Problem 6-12

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):

$\text{Recall that }\frac{d}{dx}\text{tan}(x)=\text{sec}^{2}(x)$

Hint (b):

$\text{Recall that }\frac{d}{dx}\text{sec}(y)=\text{tan}(y)\text{sec}(y)$

Answer (c):

≈ 0.328
(By calculator, unless you know the antiderivative
of y = arcsin(x).)

Hint (d):

Before you integrate, expand the integrand.