Home > APCALC > Chapter 7 > Lesson 7.1.2 > Problem7-17

7-17.

Hustling Harry hastily got the following answer to the indefinite integral below. Verify that he is incorrect, and explain what he did wrong.

$\int 2 x \operatorname { cos } ( x ^ { 2 } ) d x = x ^ { 2 } \operatorname { sin } ( \frac { 1 } { 3 } x ^ { 3 } ) + C$

Take the derivative of his result.