Q-3: Find the general indefinite integrals of: 1. S cos ntcos(sin(at)) dt 2. SVx +2x dx s dx 3-2x2-4 3. x-3

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: Evaluate the integral. 3 1 3y2 cos xy dy dx x/3 5(1 - cos 3) 3(1 - cos 3) cos 3 - 1 (1 - cos 3)

A: Formulae used: ddxxn=nxn-1∫cos(ax)dx=sin(ax)a+C∫sin(x)dx=-cos(x)+Csin(0)=0cos(0)=1

Q: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: (5) Find the indefinite integral (a)fVtan x sec'dx aun 2x sec' 2xdx sin x (c)) cos'x 1 cos-de

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 6x cos Bx dx

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Q: JxVx-6 dx cos(x) dx sin(x)+2

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Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: Use MUPAD to determine the following indefinite integrals (7.1) (7.2) (2ax-x²)³ dx. S (7.3) Obtain a…

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Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

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Q: \ rV 25 – x2 Evaluate the indefinite integral. dx -

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x cos 4x dx

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Q: n x³cos²x dx Compute the integral. -T 1+sin10x

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Q: 3. Evaluate the indefinite integral 1 -dx x' + 3x? 3

A: Given,

Q: In the integration of (cos y)^2 dy/(1 - sin y), what is the first step to solve the integral? Select…

A: Given integral.

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: hello! can you help me with this calculus problem?

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Q: 1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00

A: Note:- As per our guidelines, we'll answer the first part of this problem as exactly one is not…

Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

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Q: Evaluate the definite integral. "1/3 3 dx V1- 9x²

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

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Q: Find the indefinite integral. sinh(4 - 7x) dx Step 1 First, let u = 4 - x. Now, differentiate u with…

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Q: =dx V2x* +3 4

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Q: Find the indefinite integral (use c for the constant of integration) ∫cos3 x sin x dx

A: To solve the given integral

Q: Evaluate the integral. (sin Sx cos 5x dx 늘 cos 13x-5 cos 3x + C 26 1 cos 13x - 26 1 sin 13 x + C 26

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Q: Find the indefinite integral ∫cos 2x cos 6x dx

A: Given integration as I=∫cos 2x cos 6x dx Since  2cos 2x cos 6x=cos 6x+2x+cos 6x-2x…

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: (x²–3)dx refer to f x-2 What is the integrand of the given indefinite integral?

A: An Integrand is a function that you want to integrate.                         ∫ F(x) dx = F(x)…

Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

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Q: Find the indefinite integral S (8x2/3 + 5* – cos(x))dx and verify the result by differentiation.

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Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2…

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Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

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Q: Find the indefinite integral. sinh(8 - 9x) dx Step 1 First, let u = 8 - x. Now, differentiate u with…

A: Explanation of the answer is as follows

Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: (-4 sec Xtanx-7sec K,

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Q: Q4: a)Evaluate the integral: ( In(cosh2x) coth2x dx b) prove that sec-1x = cos-1! = Cos

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Q: x² – 25 dx Jx+5

A: Formula: a2-b2= (a+b)(a-b)

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Use an appropriate u-substitution to evaluate the indefinite integral 3sin (71)cos(7)dt. Use C'for…

A: Use substitutions to integration

Q: |(16x3 - 3x2 + 4) dx (16х3

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Q: Which of the following integration expression can't be transformed into integral of power 2dx A 4+3x…

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Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: Step by step

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

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Q: tep 4 Rewrite the integral by substituting for cos 60. 1. sin? 60 5/2 -(n)- cos 66 sin 60 de = 9.…

A: The given integral is sin2(6 theta)√cos(6 theta) sin(6 theta).

Q: 3. Find the indefinite integral. S (3e* + +x³ + 3) dx

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Q: Q5. Approximate the integral Sin(2x)dx (i) Using composite Sympson's rule with n = 2,4 and

A: As per the policy of bartleby the provisions is to solve only one question at a time so I am solving…

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.