15 6. 15 | f(x)dx = 8, 6. Suppose f(x)dx = 1, 9, f(x)dx = 4. %3D 12 12 f(x)dx = 3 6, 6. (8f(x) – 1)dx = 12

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: 1. S (x+ ) V dx 1. x5/2 + 2x1/2 + C 2. 6x 2/3 + C S dx 2.

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Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: 50 30 SO then s0 f(x)dx equals? Choose one. ()B-A (2) 2A+2B (3) 2B (4) A+B (5) A-B 16) 0 (7) 2A…

A: To evaluate the given definite integral.

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: 3 f(x) dx = -5, evaluate the following. J3 Given %3D f(x) dx = 6 and 76 (a) f(x) dx Jo (b) f(x) dx…

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Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

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Q: Given f(x) dx = 4 and f(x) dx = -3, evaluate the following. Jo (a) f(x) dx (b) f(x) dx (c) f(x) dx…

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Q: 2 S(4x3 + )dx x+1

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Q: Integrate S (2x+1) Staz+X+4) dx

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Q: 6) L (x- 3)(x + 2)? dx

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Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: (3) S x²Vx + 1 dx

A:

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: 15 .3 Suppose f(x) da = 2. f(x) da | f(x) da = 5. What is | f(æ) da? 3, and -8 -10 10

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Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

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Q: 4. x(x² – 1)² dx

A: Solution:

Q: x³ + x 10) √ (x²+ + 2x² + 5) dx

A:

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: Calculus Question

A: To find the derivative of the given function

Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: 3 4. S (x+3) z²+1 5 dx dar.

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 1. Show that | (4x - 6x + 1)dx = (4x3 - 6x + 1)dx + (4x3 – 6x + 1)dx

A: Given ∫154x3-6x+1dx=∫134x3-6x+1dx+∫354x3-6x+1dx

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Si dx 2 x² - 4x+8

A:

Q: 2. (10 points) Evaluate 3x² (x3+5)² dx (using substitution)

A: Step 1:Step 2:

Q: Evaluate 1 dx (x - 2)³

A: we have to solve the integration

Q: √(x + 3) dx √16-x²

A: Solution

Q: (2.x* + 5x" – 11) dx = |

A: