Question

Really need help on this fundamental theorem of calculus problem. @Calculus1

Answer 1

I thought the answer was sin(5)/5-sin(x^6)/x^6, but that's wrong

Answer 2

derivative of the integral is the "integrand"

Answer 3

\[\frac{-6\sin(x^6)}{x}\]

Answer 4

Try that

Answer 5

first rewrite this as
\[F(x)=-\int_5^{x^6}\frac{\sin(t)}{t}dt\]

Answer 6

then use the chain rule to find the derivative. replace each t by x^6, and then multiply the result by the derivative of x^6 namely 6x^5

Answer 7

Hero you are a lifesaver, thank you.

Answer 8

you get
\[\frac{d}{dx}-\int_5^{x^6}\frac{\sin(t)}{t}dt=-\frac{6x^5\sin(x^6)}{x^6}\]

Answer 9

which simplifies to what hero wrote!

Answer 10

satellite73 thanks for the explanation, extremely helpful.

Answer 11

No Satellite is