Question

d/dx(integral cos(t^2)dt)

Answer 1

\[\frac{ d }{ dx }\int\limits_{}^{}\cos(t ^{2})dt\] right?

Answer 2

If that is the thing you differentiate due to a constant and then the whole thing become 0.

Answer 3

I don't think so, it is= cos (t^2)

Answer 4

yes it is ddx∫cos(t2)dt

Answer 5

how do you find the definite integral

Answer 6

by definition, derivative cancel out with integral and you get the original function without calculating any thing

Answer 7

oh alright. Thank you.

Answer 8

need more explanation? need more example?

Answer 9

so basically you are saying that d/dx and integral cancel which leaves you with the original equation of cos (t^2) dt right?

Answer 10

no dt. just cos (t^2)

Answer 11

for example: if