Question

HW3: Problem 3 (2 points) Use part I of the Fundamental Theorem of Calculus to find the derivative of h(x) = int_{-5}^{sin(x)} (cos(t^3) + t) dt h'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]

          HW3: Problem 3
(2 points) Use part I of the Fundamental Theorem of Calculus to find the derivative of
h(x) = int_{-5}^{sin(x)} (cos(t^3) + t) dt
h'(x) =
[NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]

HW3: Problem 3
(2 points) Use part I of the Fundamental Theorem of Calculus to find the derivative of
h(x) = int-5^sin(x) (cos(t^3) + t) dt
h'(x) =
[NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]

Added by Ashley P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/20/2023

Step 1

We can use the Fundamental Theorem of Calculus, which states that if F(x) is the integral of f(x) from a to x, then the derivative of F(x) with respect to x is f(x). So, we have: Show more…

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HW3: Problem 3 (2 points) Use part I of the Fundamental Theorem of Calculus to find the derivative of h(x) = int_{-5}^{sin(x)} (cos(t^3) + t) dt h'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]