CPM Homework Help : CALC Problem 4-108

Examine the following integrals. 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.

$\int ( 2 y - 3 ) ^ { 2 } d y$
Hint (a):
Expand the expression first.
Answer (a):
$\frac{4}{3}y^{3}-6y^{2}+9y+C$

$\int _ { 1 } ^ { 2 } 2 ^ { 3 x } d x$
Hint (b):
Use a calculator.
Answer (b):
$≈26.93$ , using a calculator.

$\int ( 9 m ^ { - 2 } + 7 m ^ { 11 } ) d m$
Hint (c):
How can you reverse the Power Rule?

$\int _ { 0 } ^ { 3 } \sqrt { 9 - x ^ { 2 } } d x$
Hint (d):
Do NOT use a calculator.
What familiar geometric shape is made by the following equation?