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

Q: Find the general indefinite integrals integral of x(x3+2)2dx integral of 3x2(x3+1)4dx

A: The given integral of  xx3+22dx     =    ∫xx3+22dx = ∫xx32+2(x3).2+22dx  = ∫x7+4x4+4xdx =…

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

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x…

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Q: Find the indefinite integral. (Use C for the constant of integration.) |(2x - 1)(6x2 - 6x + 1)/3 dx

A: Using method of substitution

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: Find the indefinite integral using any method.

A: The integral to be solved is . Substitute . Differentiate both sides.

Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

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Q: Evaluate the indefinite integrals using Tabular Integration by parts. i) S (x² + x+1)Sinxdx ii)…

A: Let fx=x2+x+1 and gx=sinx. Tabulate the functions f(x), g(x), the derivatives of f(x) until it reach…

Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: Evaluate the integral in terms of Beta function: ∫x^12(1−x)^16 dx    limit: 0 to 1

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Q: Find the indefinite integral using any method ∫ (3x3 + 4x) /(x2 + 1)2 dx

A: We have to evaluate

Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

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

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Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

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Q: Evaluate the indefinite integral  (integral) x ln(x2) dx

A: Explanation of the solution is given below...

Q: Use a table of integrals with forms involving In(u) to find the indefinite integral. (Use C for the…

A: To find the indefinite integral, ∫x6ln(x) dx

Q: Use any method to evaluate the integrals ∫ ln x + 2/x (ln x + 1)(ln x + 3) dx

A: To evaluate the integral ∫lnx+2xlnx+1lnx+3dx, first use the sum rule and separate the integral as…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) X³VX2 + 19 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) fu- (x – 3)sin(Tx) dx

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Find the indefinite integral using the Chain Rule/U-substitution. 6x dx x2+5 3. 4. S 7xv3x² + 8 dx

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Q: 8x + 3 Break the integral into two integrals. Use a u-substitution on one and Integration Tables on…

A: let I=∫8x+3x2+1dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

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Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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Q: x³ + 3x dx. x2 + 1

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Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: 5. { xe*dx (1 + x32

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Q: х — 3 х3 -4х

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Q: Compute the indefinate integral. integral (1-sin^2(x))/cosx * dx

A: Consider the given integral.

Q: Determine the value of the integral: integral sign:  (x^2)(e^-x^3)

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Q: evaluate the indefinite integral 3+ -dt. Use C for the constant of integration.

A: Given : ∫3 + 1t61t2dt

Q: 1+x h) 4+ 2x + x² dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

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Q: Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6…

A: Given

Q: csch (2sin 2x)dx 1. V1-4x

A: Given problem:-

Q: |x² In(x)dx

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Q: 2 dax (x³-5)3 5)3

A: Please refer the attached image for complete solution.

Q: Evaluate the indefinite integral. (use C for the constant of integration.)   ∫(−7x3+2x2+5x+3)/(x) *…

A: To evaluate

Q: Find the indefinite integral using any method ∫√(1 + √x) dx

A: Given: ∫ 1+x dxBy using the Substitution methods:Put   1+x =t…

Q: Evaluate the integral 1 dx x4 – x2 Note: Use an upper-case "C" for the constant of integration.

A:

Q: Compute the indefinite integral 2. - 4e²² + 6z – 5) 5) dx.

A: We know that integration of ex is ex . And integration of 1/x is lnx. Integration of xn is xn+1/…

Q: Evaluate the indefinite integral. (use C for the constant of integration.) 2x+ 0 dx T2 +0x-9 In x² –…

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Q: Find the indefinite integral.

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Q: Use residues to find the indefinite integral f* dx- (16+x)2 2x2

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