### Home > APCALC > Chapter 6 > Lesson 6.4.1 > Problem6-126

6-126.

For each part below, what is $F^\prime(x)$? Homework Help ✎

1. F(x) = $\int _ { 5 } ^ { x ^ { 2 } } \operatorname { cos } ( \operatorname { ln } ( t ) ) d t$

The derivative of an integral is the original function, but this integral has bounds.

$F^\prime(x) = 2\cos(\ln(x^2) − 0$

2. F(x) =$\int _ { \operatorname { sin } ( x ) } ^ { \operatorname { cos } ( x ) } \frac { 1 } { t ^ { 2 } + 1 } d t$

Notice the upper bound AND the lower bound.