Let . Define…

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

h(x)=\dfrac{3}{x-1}-\dfrac{2}{x+4}

. Define

K=\displaystyle \int_{2}^{6} h(x)\,dx

. (1) Part 1: Evaluate

K

exactly. (2) Part 2: Using your exact result from part (a), compute a three–decimal–place approximation of

K