Use the Fundamental Theorem of Calculus Part 1 Problems to a) (2pts) Find the derivative of
F(x)=\int_1^x (cost-sint)dt
b) (5pts) Let
G(x)=\int_(cosx)^1 tan(7t^(3))dt
. Find
G^(')(x)
. c)
(7pts)
Let
H(x)=\int_(9x)^(4x) (t+t^(2)+t^(3))dt
. Find
H^(')(x)
.

Question

Use the Fundamental Theorem of Calculus Part 1 Problems to a) (2pts) Find the derivative of

F(x)=\int_1^x (cost-sint)dt

b) (5pts) Let

G(x)=\int_(cosx)^1 tan(7t^(3))dt

. Find

G^(')(x)

. c)

(7pts)

Let

H(x)=\int_(9x)^(4x) (t+t^(2)+t^(3))dt

. Find

H^(')(x)

.

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