If 10 f(x) dx = 17 and (A) True (B) False #free f(x) dx = 12, then 10 Sofo f(x) dx=5

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: Integrate each of the following. Show complete solution. 1. 1000dx 2. S²x¹ + 3x² + 1)dx 3. f(u² + u…

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Q: 12. Evaluatesin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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: 3x4+6x3-3x² - 6x + In 2-2x-In O x2−2x 2 -dx¹ (x-1) 1/6(x+2) 16/3 (x+1) 1/2 (x-1) 1/6(x+2) 16/3 (x+1)…

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

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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: Consider S x-m+ (A) 6 B) 5 3x5 3x4+6x³3x² - 6x A B C + + x-1 x+1 x+m 17/6 (D) 14/3 -dx. Using the…

A: Here is the solution of the given problem. Method of Partial Decomposition

Q: Find the value of k that will make the function f 2 if x<-4 . f(x)= -x+3k, if x2-4 Blank 1 Blank 1…

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Q: Evaluate A B D Stan" tan" (x) sec4x dx. —tan (™+3)(x) + _____tan (™ + 1)(x) + C m+1 1 −tan (™+2)(x)…

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Q: dx 3-2x-x²

A: Evaluate the following

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

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

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Q: O 15.21 square units 33.43 square units O 43.23 square units O 22.89 square units

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Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²

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Q: QUESTION 4 What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3 2 00

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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: Washer Method

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

A: using circular ring method evaluate the volume

Q: x² - 16 to fill in the table: - 4 5 4.5 4.1 4.01 Based on ONLY the table of values above, what…

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

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Q: Question 21 Consider S x-m+ 17/6 B 5 6 14/3 3x-5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x + m -dx. Using…

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Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

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Q: Evaluate Stan" (x) sec¹x dx. 1 -tan (+2)(x) +-tan" (x) + C m+2 m 1 1 -tan (+1)(x) + -tan (™-1)(x) +…

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

A: 16)Given,y=x316-3x24+3x and y=x

Q: 18. f(tan 2x + cot 2x)² dx

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

A: Given Integral is ∫dx(x2+4)2Let's substitute x=2tanθDifferentiate with respect to x⇒dx=2sec2θ…

Q: Find y dy ·S using the substitution u +5=√√y+2 y+2 © ²(√√y+2-5) (5√/y+2+y+24) + C…

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

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Q: 19. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

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

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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: Solution is here

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: Given: 3z = xy Find fy O xy/3 Oy/3 Ox/3 O None of the choices

A: We can find the partial derivative as below

Q: Exercises To Solve [No.5] 3-2x-x²

A: Solved below.

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1…

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Q: Question 3 Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: Exercises To Solve [No.5] 3-2x-x²

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Q: x dx 7. The integral trigonometric substitution? sece tane de [s sece - 1 sino de S 1+ cose [sec²0…

A: We have to transform the integral using substution.

Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

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Q: Suppose m and in are constants and m #n. Evaluate O 1 cos(m-nx-cos(m+n)x]+C 2 m-n 1 2 m-n m+n 1 sin…

A: On solving this we will get Option (4) is correct

Q: 7. fex tan¹(ex dx

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Q: Question x² Find the lower sum for f(x) = +2 on the interval [-7, -3] using 4 rectangles. 10 10 then…

A: We have to evaluate the area using lower rectangular values.

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: To evaluate fx²cos x²cosx dx use integration by parts. What is the expression after the second…

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Q: ·S- y dy Vy+2 using the substitution (√√y+2-5) (5√√y+2+y+21) +C 0²/(√y+2-5) (5√y+2+y+24) + C ○ ¾…

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

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

A: solution