1) Completely integrate the following: f sin*(3x) dx

Q: IT Evaluate the integral: (cos x + sinx cosx)dx

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Q: Use integration tables to find or evaluate the integral.

A: Given: ∫01x1+ex2dx

Q: fx sin(5x)dx

A: use integration by parts take

Q: 2 Use the trapezoidal rule with n = 5 to approximate sin(x) -dx. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 ,5…

A: Trapezoidal rule

Q: Consider integral x sin(3x) dx  apply integration by parts with formula u=sin(3x) and dv=x dx.…

A: In the question it is asked to calculate the integral of I=∫x.sin(3x)dx using integration by parts.…

Q: How do I integrate xarcsin(2x)dx using integration by parts?

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Q: Use Integration by parts or tabular integration to evaluate (x² + 3x + 6)(sin(2x)) · dx

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Q: Explain whether integration by parts may or may not be used to evaluate the integral fx cosx'dx. If…

A: Indefinite Integration

Q: Evaluate the integration 2.5 o cos(x) with h=0.5 by using 3/8 Simpson Rule. Write your answer in 4…

A: The Simpson's 3/8 rule states,∫ydx=3h8y0+2y3+y6+ . . . + yn-3+3y1+y2+y4+y5+ . . . +yn-2+yn-1+ynWe…

Q: What are the new limits of integration if apply the substitution u = 6x + n to the integral sin (6x…

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Q: find Fourier Sine integral of fie) fras= ol> |.

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Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s…

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Q: S cos(2x + 3)cos(3x – 5)dx

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Q: Find the integral. Show complete solution. sinx -dx 1+sinx 3.

A: NOTE: You posted multiple questions, we have given an answer to the first question, if there is a…

Q: integral of 1/sin3x dx

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Q: Please use excel. Determine the approximate integration using simple and modified trapezoidal, 1/3…

A: simple Trapezoidal rule : The trapezoidal rule works by approximating the region under the graph of…

Q: Only one of these calculations is correct to evaluate the definite integral V sinx dx Using the…

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Q: -1 Integrate Jxsin 'dx

A: To evaluate : ∫01x sin-1x dx

Q: Explain how to simplify the integrand of dx before x - 1 integrating.

A: we have to simplify the integrand before integrating ∫x+1x-1dx

Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…

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Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: Q No 4) Integrate S cosec³xdx . AND also Find F sin10xdx

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Q: Integrate (three) of th 1) f sin6x cos3x dx

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Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

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Q: What are the new limits of integration if apply the substitution u = 5x + n to the integral sin (5x…

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Q: The indefinite integral [ 4cotx dx is sinx 4 +C sinx А. В. -4tanx secx +C 4 +C sinx С. D. 4tanx…

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Q: double integral of ex(sin4x)

A: Let us first simplify the expression.  So,             exsin4x=ex1-cos2x2             =ex1-cos2x22…

Q: What are the new limits of integration if apply the substitution u = 7x + a to the integral sin (7x…

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Q: Ssin (3x)cos (3x) dx 3. Evaluate the trigonometric integral ·

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Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

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Q: The approximation of I tanx dx using composite Simpson's rule with n=5 is:

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Q: 10 de . 4+3cose Integrate

A: To evaluate the given definite integral.

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

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Q: 3. Approximate the integral -dx using 4 trapezoids.

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Q: Which of f (x) = x sin2 x and g(x) = x2 sin2 x has a larger average value over [0, 1]? Over [1, 2]?

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Q: This is exercise 26 of Section 7.5 page 460. Find the integral æ* sin(æ²) dx-

A: Answer is given in the picture

Q: 2. dy dx V1 +x2

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Q: B) Prove that: cosh (x + y) = coshx coshy + sinhx sinhy %3D

A: We know that cosh(θ) = eθ+e-θ2sinh(θ) = eθ-e-θ2

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: 4. Evaluate x sin2x dx Integration by parts

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: Evaluate the integration - 1 I = cos(3x)– 5 dx with h=0.4, Using 3/8 Simpson Rule. Write your answer…

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Q: 5. Integrate using an appropriate integration technique. a) ⌠ex sin(ex) dx b) ⌠sin3(2x) cos3(2x) dx

A: use substitution method for finding  integral

Q: ⌠13(e0.5x+sin2x)dx, use n=4

A: We will answer the first question as you didn't mention any. Please resubmit the other question…

Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

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