dx 3-2x-x²

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:  Region x2=4y             y=x24               y2=4x                y=4x                 y=2x…

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: 4. What is the value of f(1) - 16B in § x³ Inx dx = f(x) ( (1/4) Inx - B ) + C? A. 0 B. 1 C. 2 D. 3

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: [sin(mx) cos(nx) dx 9. Suppose m and n are constants and m #n. Evaluate 1 1 -cos(m− n)x+ -cos(m+n)x…

A: Evaluate the integral

Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: The integral B D a us can be transformed to which of the following using trigonometric substitution?…

A: Topic = Integration

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

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Q: x ¹/2 dx and using the substitution y=x1/2, the resulting integral takes the form: x-x 4u -du…

A: We have given integral  I = ∫x12x-x3 dx u=x12 du=12x12-1 dx du=12x-12 dx du=12x12 dx 2du=dxx12…

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

A: Let's find.

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

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Q: Suppose m and n are constants and m + n. Evaluate [sin (mx) cos(nx) dx- A) Ⓒ[-(-)-(+)₁]+€ m+ncos (m…

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

A: Please follow the next step.

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: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

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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: To evaluatex²cosx dx use integration by parts. What is the expression after the second integration…

A: We know that integration of cosx is sinx +c. And integration of sinx is -cosx+c. Here i attached the…

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: 3x5 3x4+6x3-3x2 - 6x uate -dx, using method of partial fractions. x²-2x O [ (x − 1) 1/6(x+2) 16/3 -…

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

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

A: Let's evaluate given integration.

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

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

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

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Q: ·S- Find y dy Vy+2 using the substitutionu +5=√√y+2. A √y + 2 − 5 ) ( 5 √√y + 2 + y +24) + C (В…

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Q: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

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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: Exercises To Solve [NO.5] D "Cosx dx. Sinx+25inx+5 6 3 b

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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: QUESTION 5 Evaluate Sun"(x) seets de tan' ₁ (m + 2)(x) + tan m 1 -tan (m+3)(x) + · m+1 -tan…

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

Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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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: 3x5 ·S -dx- Using the method of partial fractions, the given integral can be written as 3x4+6x³3x² -…

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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 • O Stan" (x tan O m+1 1 m+3 1 m+2 m+1 "(x) sec¹x dx n (m + 1) (x) — __ ¹ (m+3)(x) + n (m +…

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Q: The integral B D x dx can be transformed to which of the following using trigonometric substitution?…

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

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Q: Question 7 Consider S= Sx- x-m+ A) 5 3x5 3x4+6r³-3x²-6x A B C -+ -+- x-1 x+1 x+m 17/6 14/3 -dx.…

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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…

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Q: 4 b. [√x ln xdx, 1 4 ㅠ C. fx√4-xdx, d. fx sin (2x) dx. 0

A: Solve the following

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

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

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

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Q: Question 16 Л 5л Find the area bounded by the trigonometric curves y = sinx and y=cosx from x=- to…

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Q: y dy √y+2 15. Find /y using the substitution u +5=√√y+2.

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Q: Evaluate (A) (В B D Stan" (x) see4x dx- 1 m+3 -tan (m+3)(x) + m+1 1 (m+1 1 tan + ¹)(x) − − m+1 m-1 1…

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