### Home > CALC > Chapter 4 > Lesson 4.3.2 > Problem4-108

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.

1. $\int ( 2 y - 3 ) ^ { 2 } d y$

Expand the expression first.

$\frac{4}{3}y^{3}-6y^{2}+9y+C$

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

Use a calculator.

$≈26.93$, using a calculator.

1. $\int ( 9 m ^ { - 2 } + 7 m ^ { 11 } ) d m$

How can you reverse the Power Rule?

1. $\int _ { 0 } ^ { 3 } \sqrt { 9 - x ^ { 2 } } d x$

Do NOT use a calculator.
What familiar geometric shape is made by the following equation?