Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I need to find the partial derivative of the function:

$$F(a,b) = \int_a^b\sqrt{t^3+1}\, \mathrm{d}t.$$

I can figure out how to get the partial derivative but I'm not sure how to simplify the function from a to b. How can I integrate this function?

share|improve this question
1  
Simply use the fundamental theorem of calculus. You do not need to integrate. –  1015 Feb 15 '13 at 22:04

1 Answer 1

up vote 2 down vote accepted

Hint: If $$ G(t)=\int\sqrt{t^3+1}\,\mathrm{d}t $$ then $$ \int_a^b\sqrt{t^3+1}\,\mathrm{d}t=G(b)-G(a) $$

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.