Find the antiderivative of the following: x + 11 f(x) = 10 dx

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: I Solve the following FODF (x1)x*dy= (3x3y-xy +y²)dx

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Q: If f(x) dx = 24 9(х) da [3f(x) + 6g(x)] dæ. and 17, find Answer:

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Q: dx (x+3)(2x-1) 3. S

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Q: (x²–3)(x²+2) 1. dx x1 2. S a x-8 dx X-2

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Q: dy find for the following functions: dx (x²+x)(x²-x+1) y = x3

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Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

Q: d°y dx6 for the following. F(x) = x’ – 8x²+2 Find -

A: y = f(x) = x7-8x2+2 We have to find the 6th derivative of y with respect to x.

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

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Q: | 1/(x3 – 8) dx

A: To evaluate: I=∫1x3-8dx  I=∫1x3-23dx We know that x3-a3=x-ax2+ax+a2 ⇒I=∫1x-2x2+2x+4dx

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: IF f(x) = 13sin(x)-8e*. Calculate: df(x) dx =

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Q: Define what it means by for y f(x) dx

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Q: Find Sea)ax Jf(x)dx if = 56 foR X<to (x fok xZ6 flx): %3D

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Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Find the antiderivative of x/15x-14

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Q: Find the IA X+ 1 X-1 A: X- 1 1- X.

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Q: dx 4. [(x-1)2+1]2

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Q: f (x) = -5 x2 %3D f' (a) = 10 %3D a =

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