- #1
JennV
- 23
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Homework Statement
1.) Evaluate the integral ∫ x*4th root( 25 + x^2)dx
2.) Find dy/dx
y= ∫2pi (upper limit) sin(t^2)dt
sqrt(x) (lower limit)
Homework Equations
Antiderivative
The Attempt at a Solution
1.) I'm not sure how would I find the antiderivative of a product rule derivative. I tried to simplify the derivative which won't make much of a difference because I wouldn't be able to distribute the x into the (25+x^2)^(1/4).
2.) The sqrt(x) is the lower limit and I want it to be the upper limit, so I would times the whole thing by -1. The derivative of an integral function would be the original function by the fundamental theorem of calculus. So it would be -sin((sqrtx)^2) which would be equal -sin(x), but it says that my answer is wrong.
Thank you in advance.