Question

FTC Integral's derivative URGENT PLEASE.

Answer 1

the derivative of the integral is the integrand
for example
\[\frac{d}{dx}\int_0^x\sin(t)dt=\sin(x)\]

Answer 2

I've got a hard one.

Answer 3

can't be too hard i bet

Answer 4

derivative of integral of cost/(t^2+1) from 3 to 3e^(x^2)

Answer 5

Haha! I love your attitude.

Answer 6

chain rule

Answer 7

I want to compare with my final answer.

Answer 8

my answer differs from corrector's manual.

Answer 9

I think corrector is wrong. I need third party to verify.

Answer 10

replace \(t\) by \(3e^{x^2}\) and then multiply the result by \(6xe^{x^2}\)

Answer 11

ok so

Answer 12

\[\frac{d}{dx}\int_3^{3e^{x^2}}\frac{\cos(t)}{t^2+1}dt\] right?

Answer 13

yes that's right

Answer 14

THe image is corrector's manual. i think there is a 3 missing in inside cos.

Answer 15

that answer is not right

Answer 16

The only problem is the 3 inside cos right?

Answer 17

where did the 3 go?

Answer 18

exactly.

Answer 19

Corrector is wrong.

Answer 20

I'll report the mistake. I'll tell him to simply add a 3 inside cos and that makes it right

Answer 21

should have \(9e^{2x^2}\) in the denominator

Answer 22

also what you said, \(\cos(3e^{x^2})\)

Answer 23

yes true. sorry I forgotabout the 9e.

Answer 24

You are awesome!