A -2 f Coxx dx x’sinx + 2x cosx – 2 dx + C

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: 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: For the function f(x) = x6 – 10x4 , find the points of inflection.

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

A: Given that ∫x sinx cosx dx=fxsin2x-gxcos2x+C

Q: y dy ³S- √y+2 3 3 0²/(√y+2-5)(-5√/y+2+y+21)+C © }(√y+2−5) (5√/y+2+y+21)+C (√y+2-5) (5√y+2-y+24)+C…

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Q: Sketch the curve of f(x), a function whose first derivative has the following properties. You must…

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Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/4 3/8…

A: Please follow the next steps.

Q: Question 17 1/2 S. dx and using the substitution = x 1/2, the resulting integral takes the form:…

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Q: QUESTION 12 Evaluate Stan" (x) sec¹x dx 1 -tan (m + 1)(x) + m-1 -tan (m + 1)(x) - — ¹ m-1 -tan (m +…

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Q: or S- For x1/2 S- S- S- 411 dx and using the substitution -du -du -du 411 √4-(21²) 2 -du the…

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Q: Skew lines are lines that are not parallel, yet do not intersect such as in this diagram: # Show…

A: We need to show that the 2 given lines are skew

Q: The rose r = 3 cos (50) is shown below: 3 -3 Find the area of the region bounded by one loop of the…

A: We need to find area.

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

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Q: Consider √(x-m. 3x5 -dx. Using the method of partial fractions, the given integral can be written as…

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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: 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: 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 Let…

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

A: The objective is to find the correct option.

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: ➡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: Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de…

A: We have to find out

Q: 3 Question 5 Example 6.4.2 of APEX Calculus uses this fact (which appears in an integral table): f…

A: The objective is to find the right option.

Q: º fun"(x) sec¹x dx tan Evaluate

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

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Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

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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: Here is the solution of the given problem. We use here Washer Method

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(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: 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+ 14/3 B 5 Ⓒ17/6 D 6 3x5 3x4+6x³-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the…

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Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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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: 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: Question i: Kim is needing $3000 for a trip. she can make an investment that offers an interst rate…

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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 B) 1/2…

A: We have to find the integral

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: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

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Q: ³ SS ²0 Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), an

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

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

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Q: Evaluate sin(1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

A: The objective is to find the right option.

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 1/4…

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

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

A: The region bounded by the given curves x2=4y & y2=4x is: which is rotated around y=4.

Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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

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

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

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

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