7. fex tan¹(ex dx

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

A: We need to setup integral.

Q: S sec²0 do 1+tano seco tane de seco - 1 The integral O 1: S S x dx x²+√√√x²-1-1 coso do 1-sino sino…

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Q: Question 18 Find the area bounded by the curve y 8 square units 4 square units 16 square units 10…

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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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Q: Evaluate tan" (x) sec¹x dx A B © D -tan (m+3)(x) + ¹ -tan (m+1)(x) + C m+3 m+1 −tan (m +1)(x) — —_¹…

A: This question can be solved using the concept of integration by substitution.

Q: 17. Evaluate A. B. C. C 3x4+6x³3x² - 6x x² - 4x 2 x²-2x 2 x² - 4x + In 2 x²-2x-In + In -dx, using…

A: We have to calculate the given indefinite integral according to the given information

Q: Find S- y dy Vy+2 using the substitution u +5=√√y+2.

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Q: What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 2 B 3 C 0 D 1

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

A: Topic = Integration

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: ·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:-

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

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Q: The integral O 01 °: June 8 ° sec³ 4 can be transformed to which of the following when trigonometric…

A: Answer is (A)

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

A: We need to integrate the given function with integration by parts.   We will do it twice

Q: Question 13 Evaluate S A B 3x5 3x4+6x³ 3x² - 6x x² - 2x 2 - 4x 2 x² - 4x 2 -dx. using method of…

A: First of all note that:…

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

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

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

A: The simple use integration

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

A:

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: 3x5 3x4+6x33x2 - 6x + In Evaluate S Ox²–2x (x-1) 1/6(x+2) 16/3 (x+1) 1/2 2 Ox²-4x (x-1) 1/6(x+2)…

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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: Question 18 Find - y dy (y + 2 A(√y+2-5) (5√/y+2+y+24)+C А Ⓡ(√y+2-5)(-5√/y+2+y+21)+C B Ⓒ(√3+2-5)…

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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: Follow the procedure given below.

Q: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are…

A:

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

A: Please see the below picture for detailed solution.

Q: b 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: Find the area bounded by the trigonometric curves 3.667 square units 2.828 square units 3.459 square…

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Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

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

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Q: To evaluate x²cosx dx' x2sinx+2x cosx – 2 x2sinx+2x cosx – 2 x²sinx- – 2x cosx — 2 x2sinx – 2x…

A:

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

A: Trigonometric substitution

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: 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 14 The integral x dx can be transformed to which of the following using trigonometric…

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Q: c) Parametric equations of a line that goes through P(1, 3, 5) and is perpendicular to the line (1,…

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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: Given the periodic function defined in one period by the function: (bt, f(t) = a, 0, 0 0. Provide…

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

Q: 3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In…

A: Given that       ∫3x53x4+6x3-3x2-6xdx  We can re-structure this integral as…

Q: waluate Stan" (x) sec¹x de m 1 m+3 −tan (m+3)(x) + 1 m+2 1 m+1 1 m+1 1 m+1 tan n (m+2)(x) + — tan”…

A: We will evaluate the given integral as shown below

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

A: