# tricky integral

• May 16th 2009, 03:24 PM
soloakewlstick
tricky integral
How do you use the fundamental theorem of calculus compute

$\frac{d}{db} \int_{0}^{b} b f(x) dx$
• May 16th 2009, 03:52 PM
NonCommAlg
Quote:

Originally Posted by soloakewlstick
How do you use the fundamental theorem of calculus compute

$\frac{d}{db} \int_{0}^{b} b f(x) dx$

there's nothing tricky about the question! use product rule. the answer is: $bf(b) + \int_0^b f(x) dx.$
• May 16th 2009, 03:58 PM
soloakewlstick
thanks!