x² 1 — хdx

Q: Find the indefinite integral.

A: Our Aim is to find the indefinite integral given below:-∫x2 sech2 (x3)  -(i)

Q: Find the indefinite integral by making a change of variables

A: Given integral is By using the following substitution , we get

Q: dx I = a² +x²

A: Given query is to find integration of the expression.

Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: Use the Change of Variables Formula to evaluate the definite integral.

A:

Q: dx VI + V

A:

Q: Evaluate the definite integral.

A:

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Use a change of variables to evaluate the following definite integral. .2 XV - 1 |

A: Consider the given definite integral

Q: Evaluate the integral. 1. (x10 + 10*)dx

A:

Q: Evaluate this indefinite integral: (√x-(1/2)x+2/√x)dx

A: Consider the provided integral, ∫x-x2+2xdx Solve the above integral. Apply the sum rule of the…

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

A:

Q: Evaluate the indefinite integral. dx + C

A:

Q: Find the following indefinite integral. SxVx2 +5 dx

A: The given integral is ∫xx2+5dx

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Find the indefinite integral

A:

Q: Find the indefinite integral. ∫x(x2 + 1)2 dx

A: We have to find the indefinite integral: ∫xx2+12dx We will solve this integrals using substitution…

Q: dx 15. x1+(In x)*]

A: Given:       ∫10dxx1+lnx2       =∫101x1+lnx2dx substitute u=ln x→dudx=1x→dx=xdu…

Q: Find the indefinite integral. (- x/x - 55 dx

A: Given : ∫xx-55dx

Q: Evaluate the integral. '1 x9/10 dx

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Q: e dx

A:

Q: dx I = е. a² +x²

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Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

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Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Find the indefinite integral. x' + dx +C.

A: Integrate

Q: 1 dx

A: Topic:- integration

Q: Evaluate the indefinite integral. 9 + x°dx + C

A:

Q: Evaluate the definite integral. Show all steps. dx V(x' +1)

A: Explanation of the answer is as follows

Q: Find the indefinite integral ∫ (x2 − 7) / 7x dx

A: To sove: ∫x2-77xdx Solving the given indefinite integral,…

Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .

Q: /2+In x dx

A:

Q: dx 15. x1+(In x)*]

A:

Q: Find the indefinite integral ∫xe1−x2 dx

A: We need to evaluate the following integral: We will use u-substitution method u = 1-x2 du = -2xdx

Q: (x3 + 1)° be transformed into a basic integral by letting and dx hing the substitution yields the…

A:

Q: Evaluate the definite integral. 13 x/x - 9 dx J10

A:

Q: Evaluate the integral. x9/10 dx

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 Given: I=∫01x910dx

Q: 16z(2r² + 1)°dr

A:

Q: Evaulte the integral when x > 0 ln(x^2+17x+70)

A: Integrand, I = ln(x2+17x+70)x2+17x+70 can be factorised as shown below:x2+17x+70 = x2+10x + 7x+70 =…

Q: Find the indefinite integral. + x + x-9) dx + C

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Q: b) f6xæ**dx 4 cosht)dt

A: We have to find the integrals.

Q: Find the indefinite integral by making a change of variables

A: Consider the given integral as ∫x3x3-1dx

Q: Find the indefinite integrals. S- 2x -) dx J(금 a)

A:

Q: Find the indefinite integral by making a change of variables. 1 √ 4 + ²√2x² dx

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Q: Evaluate the definite integral I (14e + 10z)dæ

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Q: Find the Indefinite Integral. e

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute

Q: Find the indefinite integral. 17 dx +C

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Q: 1+x

A:

Q: +1 dx x+1 10.

A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

Q: Evaluate the indefinite integral. x + 5 dæ x2 + 10x + C

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Q: Use the Change of Variables Formula to evaluate the definite integral. 6 In x dp- 1

A: