Find the indefinite integral by using the substitution x = 9 tan(8). 9x2 dx (81 + x2)2

Q: Find the indefinite integral by using the appropriate formula

A: Given: ∫cos4xdx   Formula used: cos2x=2cos2x-1   cos2x=1+cos2x2

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Use a table of integrals to find the indefinite integral.

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

Q: Find the indefinite integral.

A: I  = ∫x sin (3x2) dx          ut    3x2 = t                6x dx = dt              xdx = dt6

Q: -cos² dx X' X

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Q: Find the indefinite integral.

A: Given : The indefinite integral is ∫ 17x -2 dx .

Q: Find the indefinite integral using the substitution x = 4 sin θ

A: Given :              The indefinite integral                                 ∫x316-x2dx

Q: Find the indefinite integral f V9+x² x3 dx using an appropriate trigonometric substitution.

A: To find :  I=∫x39+x2dx

Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Evaluate the definite integral. 1/x5 dx +6

A: Consider the given integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 12x) dx Cos In x +…

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Q: Find the indefinite integral by using the appropriate formula'. ∫e2x cos 3x dx

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Q: Use the Table of Integrals to evaluate the integral.  ∫ x Sin( x2) Cos (3 x2 )dx

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: -13 dx 2. So 3 ((1+2x)2

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Q: dx 1 sin xcot;x

A: We need to evaluate the indefinite integral ∫dxsin12x cot12x Now, we will use the fact that cot…

Q: Find the indefinite integral.

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Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of…

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Q: Find the indefinite integral using the substitution x = 5 sin(8). (Use C for the constant of…

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Q: Find the indefinite integral by using the appropriate formula   ∫ e−3x sin 4x dx

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Q: Find the indefinite integrals, if possible, using the formulas and techniques.

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Q: Evaluate the indefinite integral.

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Q: S cos(3=)dz

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: Then integrate with substitution

Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the constant of…

A: The integral is ∫4x2(16+x2)2dx Substitute x=4tan(θ) ⇒dx=4sec2θdθ…

Q: dx (x+5)+9

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Q: Evaluate the indefinite integral 5e^5x*sin(e^5x) *dx

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Q: 2r cos x dx

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Q: Find the indefinite integral by using the appropriate formula . ∫ x2 sin x dx

A: Solution -    Given Indefinite Integral- y=∫x2sinx dx Integrating using by parts formula which is…

Q: Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x)…

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Q: Find the indefinite integral using the substitution x = 2 tan θ.

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral and check the result by differentiation.

A: Consider the given expression as dydx=4x+4x16-x2

Q: Find the indefinite integral f Vx2 – 6x + 5 dx using an appropriate trigonometric substitution.

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Q: Find the following indefinite integrals: (a) / x-4 sec² (x-3 + 1) /tan(x-3 + 1)dx;

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Q: Find the indefinite integral ∫cos4 x dx

A: Given- ∫cos4x dx To find- The value of the integral. Formula Used- Using the reduction formula, we…

Q: Find the indefinite integral by making the substitution x- 7tan e. dx 49+x²

A: See attached file for a step by step explanation.

Q: Find the indefinite integral by using the substitution x = 6 tan(0). (Use C for the constant of…

A: The solution for the above question is as shown below.

Q: Find the indefinite integral by using the substitution x = 8 tan(0). (Use C for the constant of…

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Determine the following integral by making an appropriatesubstitution.

A: Given∫cos3x2-sin3xdx

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: (2х-2 dx

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Q: S sin(2x) dx

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Find the indefinite integral of Se-* cos e-*dx.

A: The given integral is: ∫e-xcos e-xdx We use the substitution method here.

Q: Evaluate the definite integral integral from 0 to square root of pi  xcos(x2)dx

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Q: Find the indefinite integral by using the appropriate formula. ∫x2 cos x dx

A: Given: ∫x2 cos x dx

Q: 34. cos(m/x) dx

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Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the