Evaluate: 2 sinxcos³xdx is equal to 0

Q: Let f(x) = 8x³ - 4. What is the value of c on the interval [0,2], such that f(c) equals the average…

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Q: Evaluate sin (Inx n(Inx) dx xsin (Inx) + xcos (Inx) - [sin (In x) dx+C _xsin (Inx) – xcos (lnx) –…

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Q: Previous question Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and…

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Q: 6 Ⓒh'(x) = 7(7x³+4x) (21x² + 4)

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Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…

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Q: y dy Find ·S- √y+2 03 (√x+2-5)(-5√/y+2+y+21) + C ○ ² (√y+2−5)(5√/y+2+y+24) +C 3 (√√y+2-5)…

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

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Q: Evaluate tan" (x) sec¹x dx² A −tan (m+2)(x) + — tan” (x) + C m+2 1 −tan (m+3)(x) +_¹__tan (m+1)(x) +…

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Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

A: We have to choose to correct option

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

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Q: y dy Find S² using the substitution u +5=√y+2. √y+2 (A) (√3+2-5) (5√3+2+y+21) +C 3…

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Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Evaluate A B e Stam" (x) sec³x dx- -tan (m+3)(x) + m+3 1 m+2 -tan (m + 2)(x) + m −tan (m + 1)(x) — —…

A: Solved below.

Q: 6x⁹-x5+ 27 A B R C D) 0 E) None K|N 2 4-x² dx is equal to

A: Explanation of the answer is as follows

Q: 7. Use cylindrical coordinates to evaluate S √x² + y² dx dy dz where S is bounded by Z= √√x² + y², z…

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

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Q: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

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

A: Given; ∫x3lnxdx=fx14lnx-B+C    ...(1)   First, we have to find the integral value. I=∫x3lnxdx Apply…

Q: QUESTION 14 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)…

A: We need to find area.

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 2 0 3 01

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

A: Given ∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method,∫udv=uv-∫vdu u= sin…

Q: Let g(x) be the function 7x² - 6x + 6 . Then the quotient to ah + b. What are the values of a and b…

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Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2-4x…

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Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: 2. 2 4 Scot² 3x csc + 3xdx

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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…

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Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

Q: 6x9-x5+ (A) 2n (B) I (C) 2 (D) 0 E) None √√4-x² dx is equal to

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

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Q: 5 S dx (x-3) ² (A) None B 0 C ∞o (does not exist) D - 1 E 1 Evaluate:

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Q: Find the area bounded by the curve 4 square units O 16 square units O 8 square units 10 square units…

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Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: 5. Evaluate , x dV where S is the region (solid) bounded by x = 0 and x =

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Q: Find the area of the region lying between the inner and outer loops of the limacon r = 1-2 sin θ

A: I am attaching image so that you understand each and every step.

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Evaluate tan" (x) sec¹x dx. 1 1 (A) -tan (m+2)(x) +· ¹tan" (x) + C - m+2 m 1 1 (в -tan (m+3)(x) +…

A: On solving this we will get Option (B) is correct

Q: (d) y = √√√x, y = 2, x = 9 M

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

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

A: Please see the below picture for detailed solution.

Q: A) None 3 В) 512 Зл 256 3 256 Зл 512 (C) (D) Ε) sin√xcos√x √x E -dx is equal to

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Q: For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du…

A: We can rewrite the given integral by using this substitution u = x1/2

Q: y= 3x²-1 2 2x+5

A: Given problem:- y=(3x2-1)/(2x+5)   Find derivative using quotient or product rule

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: To Find:Set up the integral for the work done in pumping the content to a point 3m from the top of…

Q: Question 11 [₁ Evaluate: 2 A 63 16 B 105 C) None 16л D 105 2n E 63 sinxcos³xdx is equal to

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Q: please answer letter b only,

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Q: Sta tan" (x) sec4x dx _¹___tan (m + 1)(x) — —__¹___tan (™− 1)(x) + C m+ 1 m-1 ¹__tan (m + 2)(x) +…

A: To find the value of given indefinite integral.

Q: What is the f(7) (-2) of f(x) = - +2x - 7x³ + ³² + 5x +1? 3x² 2

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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…

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Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: ·S. The integral of sect S S x dx x²+√√√x². sece tane de sece - 1 sec²0 do 1+tano cose de 1-sine…

A: Given Problem:-