b. 1 dx dx x* + cos x с.

Q: Evaluate the integral. - T/2 tan?x cos³x dx

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Q: Evaluate the Integrals: Sz cos5xdx b) 2x sinx dx 2 a)

A: (a) To integrate: ∫0π2cos5xdx

Q: f sin √x dx

A:

Q: Evaluate the integral / (4e* + 7 cos a) dæ. Answer

A: Given that: ∫05(4ex+7cosx)dx

Q: Evaluate the definite integrals. So sin (4x) cos (5x)dx Hint: Write your answer in the fraction form…

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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: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

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Q: I5 = 2 -3 x 0(x - 1)dx

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Q: Evaluate the integral. | 19e" sin æ dæ +C NOTE: Enter the exact answer.

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Q: Evaluate the integral. 15e* sin x d +C NOTE: Enter the exact answer.

A: We have to find the integration .

Q: Evaluate the indefinite integral. cos x tan³ x dx 3

A: ∫cosxtan3xdx=∫1-cos2xsinxcos2xdxLet  u=cosx=∫ -1-u2u2du=∫ -1u2+1du=-∫1u2du+∫ 1du=--1u+uSubstitute…

Q: Question 3 (a) Use an appropriate contour integral to evaluate cos(x) dx 7- sin(x) – 2 cos(x) and…

A: To find - Use an appropriate contour integral to evaluate

Q: has the form - F(0)+ + C: What should be the value of e to make F(o)=0? The resulting integral of…

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Q: *w/2 cos'x sin 2x dx

A: We have to solve the integral                                          ∫0π2cos3xsin2xdx

Q: Evaluate the following integral. 2 4 5 dx dy dz -220 245 dx dy dz =| (Simplify your answer.) -22 0

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Q: Evaluate the integral. | æ sin(9r) dæ + C

A: Given,  ∫  x sin(9x)dx

Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

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Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant…

Q: Evaluate the integral. 2 sin ] x dx + C NOTE: Enter the exact answer in expanded form.

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Q: Please, expert, Homework: Evaluate the following integrals 5.S√x+1d dx 4. nt to solve all these…

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Q: Evaluate the integral. 5e" sin x dx +C NOTE: Enter the exact answer.

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Q: Evaluate the integral J (1-cos 3x) dx (Cos 6x=2C03 34-)

A: To evaluate the integral, ∫0π1-cos23xdx

Q: Evaluate the integral. 2 sin x dx + C NOTE: Enter the exact answer in expanded form.

A: I=∫2sin-1xdx

Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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Q: Evaluate the indefinite integral. | cos*(3x) dx

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Q: 1. Which of the following integrals will yield an inverse sin function? B. S- D. S- dx dx A.S dx dx…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Evaluate the integral. | 9e cos(2a) do 3x + C NOTE: Enter the exact answer.

A: As we know that; The expression for the integration by parts: ∫udv=u·v-∫vdu The given integral is:…

Q: 6. COS dz

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Q: Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

A: Given,            ∫x3+x2+156x2+4xdx

Q: H(x) = sin(esinh~1 *) %3D

A:

Q: Evaluate the integral. 1/2 21 sin x dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: State u and du and then find the indefinite integral: [ x - dx x* +5

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Q: (Boas, 2.11.12) In the following integral express the cosine in exponential form and then integrate…

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Q: 9.

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Q: 1) Evaluate the integral. Vx² + 1 dx

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Q: Evaluate the integral. | (sin? 0 + cos? 0)d0

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Q: Evaluate the integral. 5e" sin x dx +C || NOTE: Enter the exact answer.

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Q: Question 6 Evaluate the integral J sinh? COSA(2X) +C cost(2x) A sint(2x) B +C sinh“(2x) +C 8…

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Q: Evaluate the integral: sin(3x)cos(3 A - B C D H|ო 3 16 +16 dx

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Q: Given the integral of S cos² x dx,

A: O integrate the given function.

Q: Find the indefinite integral. S sin° ( )dæ 3

A: We need to solve the integral.

Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: Use the formula sin-(u) du = u sin-1(u) + /1 - u² + C to evaluate the following integral. x…

A: Now , we will solve the integral.

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B…

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha…

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: The value of the integral 6. | (30 tan?r – 30 sec²a)dx 2 -4 120 - 120 O 4 ||

A:

Q: 3x + 1 dx 4x2 + 1 (a)

A: Since multiple questions are asked, I am answering first question. Please repost other question

Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: b2 - a? use this result and the fact that cos(x) dx = 1, together with the properties of definite…

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Q: To finish up, make sure you understand the basic integration commands in Mathematica by using it to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…