Evaluate the definite integrals using properties of the definite integral and the fact that 5 $S² √3 (a) (b) (c) (d) L³₂ (² f(x) dx = -4, L³ 7f (2) dx = 11 f (x) dx = 4. S. $ 1 [³ (ƒ (x) – 9 (x)) dx = 5 [³ (5ƒ (2) + 69 (2)) dx = Number Number Number Number f (x) dx = 7, and g(x) dx = 2.

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: Use the Product Rule to find the derivative == [( ²³ ²³² + ² × ³ ) ( ² − 4׳²)] · dx X Answer

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Q: Find [(x- sin(2x)) dx

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Q: b) Find the derivative of the following, 5√/2x4-1 x3 In √7x²+5 1. d dx

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Q: Find the derivative of y = In (tanh x).

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Q: Find the derivative. y = ln (9+x5) 5 9+x 5x4 In(9+x5)

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Q: What is the domain of y = ln(x2 - x - 6

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule