CPM Homework Help : CALC Problem 7-135

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Home > CALC > Chapter 7 > Lesson 7.3.3 > Problem 7-135

7-135.

Evaluate each of the following integrals.

$\int _ { 0 } ^ { 1 / 6 } \frac { 1 } { \sqrt { 1 - 9 x ^ { 2 } } } d x$
Hint (a):
$\int_{0}^{\frac{1}{6}}\frac{1}{\sqrt{1-(3x)^{2}}}dx$
What trig derivative do you recognize?

$\int _ { 0 } ^ { \sqrt { 3 } / 2 } \frac { 1 } { 1 + 4 x ^ { 2 } } d x$
Hint (b):
Refer to the hint in part (a).
Also, remember that $4x^² = (2x)^²$

$\int _ { 0 } ^ { 1 } 2 ^ { 3 x } d x$

$\int _ { 0 } ^ { 1 } e ^ { 5 x } d x$
Hint (d):
This integral is very much like that in part (c).

Compute without a calculator

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