For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du 4-(2²) 2 4u -du 4-u² U s A s Ⓡ/ B Ⓒl u -du -du

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

A: Please see the answer below

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: 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: For f x 1/2 dx and using the substitution=x1/2, the resulting integral takes the form: -du 411…

A: We know that integration of xn is nxn-1.   Here i attached the solution of this question.

Q: Evaluate A B Stan" (x) m+1 D "(x) sec4x dx. tan (+1)(x) +tan (-1)(x) + C m-1 tan (+1)(x)-tan (-1)(x)…

A: topic- indefinite integral

Q: Consider √(x-m S 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: 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: Suppose m and n are constants and m‡ n.- Evaluate [sin(mx) cos(nx) dx 1 1 -cos(m-n)x. cos(m+n)x] +C…

A: To find the value of given integral.

Q: 1x3 Inx dx = fx) ((1/4) Inx-B) + C?

A: Integrating by parts.   Hence we get answer 0.

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

A: topic - integration by parts

Q: What is the value of f(1) - 16B in I x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 01 3 00 02

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and is to be solved using…

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Q: Evaluate Stan" (x) sec¹x dx- 1 A -tan ₂ (m+3)(x) + —_—_—_tan (m+1)(x) + C m+3 m+1 1 1 B −tan…

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

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

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

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Q: y dy Find ·S- √y+2 03 (√x+2-5)(-5√/y+2+y+21) + C ○ ² (√y+2−5)(5√/y+2+y+24) +C 3 (√√y+2-5)…

A:

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: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

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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: The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of…

A: Here we have to transformed the given integral.

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx A − cos(m− n)x+ · -cos(m+n)x] +…

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

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A:

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

A: solution

Q: What is the value of f(1)- 168 in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? A) 3 B 0 1 2

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

A: We have to determine above integral

Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin²x+25inx+5

A: Here is the solution

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

A: We have to find solutions

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

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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: Exercises To Solve [No.5] 3dx 9x²-6X+5 1

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Q: Find the area bounded by the curve y = - -x³x²+3x and the line y=x. 16 4 (A) 10 square units B 8…

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Q: aluate A B Ⓒ D Stan™ tan" (x) sec¹x dx. 1 M+2 - 777 +1 - tan tan (m + 1)(x) + tan (m + 1)(x) -tan…

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Q: substitutionu +5=√y+2. -5√/y+2+y+21)+C 5√y+2=y+24)+C

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

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

A: Let's evaluate and then find value.

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

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Q: QUESTION 4 To evaluate use integration by parts. What is the expression after the second integration…

A: We have to solve above integral

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

A: We will evaluate the given integral by using substitution method as shown below

Q: Question 12 Consider ·S S(x-1 x-m+ (A) 17/6 B) 14/3 6 D) 5 3x5 3x4+6x²-3x² - 6x A B C + -+ x-1 x+1…

A: Consider ∫3x53x4+6x3-3x2-6x dx. Using the method of partial fractions, the given integral can be…

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

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

A:

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

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: Question 11 Evaluate €S= A B C D 3x5 3x4+6x³-3x² - 6x x²-2x-In x² - 4x 2 x² - 2x 2 x² - 4x + In +…

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Q: QUESTION 9 S x²-2x-In + In Evaluate 3x5 3x4+6x³-3x² - 6x O x2−2x 2 O x² - 4x O x² - 4x 2 て + In + In…

A: Solved below.

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

A: