QUESTION 14 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y, the x-axis, and the line tangent to the circle x2 + y²=25 at (3,4). O 43.23 square units O 22.89 square units O 33.43 square units O 15.21 square units

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: 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) sec4x dx. 1 1 A -tan 2) (x). + (m+2 -tan" (x) + C m+2 m (m+1) ¹) (x) (m- m+1 1…

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Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…

A: On solving this we will get

Q: Find the area bounded by the trigonometric curves 5ñ to - 4 3.667 square units 3.459 square units…

A: topic- area bounded by curves

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: Question 20 x 1/2 For S dx and using the substitution = 1/2, the resulting integral takes the form:…

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

Q: Consider ·S= √(x-m+ A₁ 17/6 14/3 3x5 3x4+6x33x² - 6x с B -+ x+1 x + m -dx Using the method of…

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Q: ➡pose m and n are constants and m ‡n. Evaluate sin(mx) cos(nx) dx` 1 -cos(m-n)x- -cos(m+n)x] + C n-m…

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

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Q: For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral…

A: In this question, we want to know the Integral form after substitution.

Q: Evaluate tan tan" (x) sec¹x dx O 1 −tan (™+2)(x) + — tan” (x) + C m+2 m O 1 1 -tan (m + 1)(x) — — ¹…

A: To evaluate the integral

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A: We have to find the solutions

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: 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: Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x)…

A: On solving this we will get Option (3) is correct

Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

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

A:

Q: The integral x dx x² + √x² can be transformed to which of the following using trigonometric…

A: ∫xx2+x2-1-1dx=∫secθ.secθtanθsec2θ+sec2-1-1dθ=∫sec2θtanθsec2θ-1+sec2-1dθ=∫sec2θtanθtan2θ+tanθdθ=∫sec2…

Q: x dx ·S- can be transformed to which of the following using trigonometric substitution? x²+√√x²-1-1…

A: Trigonometric substitution

Q: can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin ²0…

A: Please see the answer below.

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: S √(x-m+ 3. Consider 3x5 3x4+6x3-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the method of partial…

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Q: Find the area bounded by the curve 4 square units 10 square units 8 square units 16 square units 3 y…

A: Area

Q: What is the definite integral on the interval [1,3] given by n lim n-∞ €k cos πæk Δα? 3 of x cos x…

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Q: Evaluate tan" (x) sec¹x dx m+ 1 m+1 1 m+2 B D -tan (m + 1)(x)-tan (-1)(x) + C m - 1 (m+1)(x) +tan…

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

A: Integrating By Parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx

Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

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Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…

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Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

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

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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: Evaluate sin (Inx) dx. Int second integration by parts

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Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

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

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Q: 20. For A. B. C. D. S x1/2 dx and using the substitution u=x1/2, the resulting integral takes the…

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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: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 1 1 [1 -cos(m− n)x= cos(m+n)x]…

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

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

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

A: Solution is here

Q: Question 8 The integral - Ⓒ /se (B Sa / © S³ (D S x dx x² + √x² sece tane de sece - 1 cose de 1-sine…

A: We have to slove above integration

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

A: Given

Q: QUESTION 4 Evaluate › [ sin(lnx) dx' Integration by parts will be used repeatedly. What is the…

A: Integration by parts

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

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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:

Q: dx 3-2x-x2

A: Since, the student has posted multiple questions and mentioned to solve no. 5 but there is no no. 5…

Q: Find the area bounded by the trigonometric curves y=sinx and 3.667 square units 3.459 square units…

A: