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

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

A: topic - indefinite integral

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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: (5 Lim 9-5 dx S a -x²-8x-15

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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

A: Given

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A: Area bounded by the curve .

Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx - B) + C? 02 1 03

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

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A: On solving this we will get

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

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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: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: (B) 1 1 −tan (m+3)(x) + _—__——_—_tan (m + 1)(x) + C · m+3 m+1

A: Let us use trigonometric substitution. After solving we get correct answer is option-(B) as shown in…

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

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Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

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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: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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

A: The objective is to find the right option.

Q: Solve the system of differential equations. 80 X' x 5 x₁ (0) 9, ₂(0) = 7 x₁ (t) = rolt)

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Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =>       y(y² + 1)dx + x(y²-1)dy = 0

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: The volume of the solid generated by revolving the region bounded by x squared equals 4 y and y…

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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: Evaluate A B Ⓒ D S= x² - 4x 2 x² - 4x 2 x2-2x 2 x²-2x-In 3x5 3x4+6x³3x² - 6x - (x-1) 1/6(x+2) 16/3…

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Q: -dx, using method of partial 5x /6(x+2) 16/3 +1) 1/2 ] 6(x+2) 16/3- 1) 1/2 16/]+C с 16(x+2) 16/3 +C…

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate Stan" (x) tan" (x) sec¹x dx

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x - 1)² and the line…

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Q: 19

A: We will solve the problem

Q: Evaluate S tan" (x) sec¹x dx. I A tan (+1)(x)tan (-1)(x) + C m+l - 1 I B tan (+3)(x) +tan (+1)(x) +…

A: Let's evaluate given integral.

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

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

A: Please follow the next step.

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

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

A: We have to find out value

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

A: Here, the region is bounded by the curves x2=4y⇒x=4y & y2=4x which is rotated around y=4 axis…

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

A: We have to find the inner radius

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Q: 2. a+b+c=c+b+a is true because of

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Q: Where is f(x)= -5 -6z+5 discontinuous?

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Q: What is the value of f(1) - 168 in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 02 8 8 0 3 1

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Q: To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second…

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