·S Evaluate 3x5 3x4+6x³-3x² - 6x -dx, using method of partial fractions.

Q: Question 13 Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) +…

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Q: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…

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Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A 1/2 B…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: We need to choose correct option.

Q: dx ·S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A: Solution is here

Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: It is clearly seen in the figure that the tangent line is horizontal to the x axis at the point…

Q: Evaluate Ss sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: 10. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: The region bounded by the given curves x2=4y & y2=4x is: which is rotated around y=4.

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Given

Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…

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Q: [ sin(mx) cos(nx) dx- D Suppose m and n are constants and m #n. Evaluate 1 1 A -cos(m-n)x- =…

A: This question can be solved using the concept of integration of trigonometric functions.

Q: The integral A B C D S³ x dx x² + √√√x²-1-1 sec²0 de 1+tano sine de 1 + cose sece tane de sece - 1…

A: We have to solve above integral

Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

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Q: Question 3 To evaluate (B fr²cost sx dx use integration by parts. What is the expression after the…

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Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

A: We have to solve Integral

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: 1x3 Inx dx = fx) ((1/4) Inx-B) + C?

A: Integrating by parts.   Hence we get answer 0.

Q: Consideri x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/4…

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Q: QUESTION 15 Evaluate sin(Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: Consider J x sinx cosx dx = f(x) sin2x-g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1 B) 1/2…

A: We have to find the integral

Q: Evaluate sin (Inx) da Integration by parts will be used repeatedly. What is the expression after the…

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Q: S For x1/2 x−x³ dx and using the substitution u=x1/2, the resulting integral takes the form:

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Q: The rate of growth of a population after t years is given by the equation P(t) = 5t. What is the net…

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Q: . Given u = (-3,-4, -1), v = (6,2, -3), find (a) ||u|| (b) ||u+v|| u (c) u + v (d) u+v

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 02 0

A: Correct answer is 0.

Q: Evaluate tan" (x) sec²x dx m 1 1 n (m + 2)(x) + tan -tan" (x) + C m+2 m 1 -tan (m + 1)(x) — . m+1…

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Q: 1 Find the area bounded by the curve y=- =-=-—-—-x³-3³² x ² + 16 4 -x2 + 3x and the line y=x.

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Q: [ sin(mx) cos(nx) dx. Suppose m and n are constants and mn. Evaluate 1 1 1 (A) -cos(m-n)x x+…

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Q: º fun"(x) sec¹x dx tan Evaluate

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Q: Consider fx sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/4 B…

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Q: ·S- sece tane de sece - 1 The integral S S x dx x²+√√√x²-1-1 sino de 1+ cos cose de 1-sino sec²0 de…

A: The objective is to find the correct option.

Q: Evaluate (A) B ze Stan" (x) sec²x dx- D tan (+2)(x) +-tan" (x) + C tan (+3)(x) +tan (+1)(x) +C 1 1…

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Q: I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x = - 4 4 1.414…

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Q: The integral S sine de 1+ cose sec²0 de 1+ tan cose de 1-sine sece tane de sece-1 S x dx x²+√√x²-1-1…

A: dsecθdθ= sec θ.tan θ

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y = 4 is…

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Q: Evaluate Stan" (x) sec¹x dx 1 A m+1 I m+3 B 1 -tan (m + 1)(x) +- m-1 1 -tan (m + 3)(x) + m+1 -tan…

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Q: Consider s √(x- x-m+ 06 05 O 17/6 14/3 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m dx Using the…

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Q: Consider I x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4…

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Q: What is the derivative of the following? sin(t) d dt f 117 da cos(t) s(t) 4-sin² (t) 1 4 — sin² (t)…

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Q: Question 8 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Solved below.

Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x²=4y and y2-4x…

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Q: To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A: Solution of the problem as follows

Q: Convert S.S. dzdydx 3-√√9-**-* Into an integral of spherical coordinates 319-x2

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Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: 3 3--x2+3x and the line y=x. 4 Find the area bounded by the curve y=-x³- 16 10 square units 16…

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Q: Find S y dy Vy+2 D using the substitution u + 5 = √y+2. A √y+2−5) (5√√y+2+y+24) + C Ⓡ(√9+2-5)…

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Q: QUESTION 2 What is the value of f(1) - 16B in | x3 Inx dx = f(x) ((1/4) Inx - B) + C? 3 0 1 2

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