Q5- Evaluate the integral, x(In x) Jo(x)dx

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: Evaluate the integral of x(x - 5)12 dx from 5 to 6

A: Given: ∫56x(x-5)12dx

Q: Evaluate the integral of dx / (x + 2) from -6 to -10.

A: The complex form of integration can be converted to simple integration form by  using the…

Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: Evaluate the integral.

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Find the indefinite integral.

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Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: 5. Given that n is a positive integer, evaluate the integral 'x(1 – x)" dx .

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Q: X- xe d.x

A: Given :   ∫0+∞xe-xdx

Q: Evaluate the indefinite integral:  ∫ z2(z3 + 1)12 dz

A: Substitute u=z3+1,du=3z2.

Q: 9. Find the integral, using u substituti x-(1-3x²)*dx a.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate the integral of (x^(3))*(e^(x^2))*dx

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Q: Evaluate the integrals.

A: To find the value of given definite integral.

Q: 25 dx Evaluate the integral 10 x(In x) 5

A: We have to evaluate the integral: ∫525dxxlnx10 This will be solved by substitution method since…

Q: Evaluate the integral of dx / (x + 2) from -6 to -10

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Q: c/4- 4 – x dx

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Q: Consider the indefinite integral 26 dx: (x7 + 6)"

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Q: 4x Use the appropriate substitution to evaluate the following integrals: dz =.

A: To find:∫4xx2-1dx

Q: [(b) find the integral in the interval [1,4] S(3/2 sqrt(x)-4/x^2) dx ].

A: To evaluate the given integral on [1,4]

Q: Evaluate the integral. (Use C for the constant X - 7 dx x2 - 18x + 82

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Q: Evaluate the integral ∫x/(x2 - 4)3 dx

A: We have to evaluate the integral: ∫xx2-43dx We will solve this problem by substitution method, Let…

Q: Evaluate the integral ∫dx / x2−x+2.

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Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: Use substitution to find the indefinite integral

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Q: 5. -dx 1 + x

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Q: Evaluate the integral

A: Apply integration by parts,

Q: x2 dx (x² – 25)5/2

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Q: Evaluate the integral. x² + 9 dx

A: we have to evaluate  ∫03x2+9dx

Q: 169 dx Evaluate the integral 8 x( In x) 13

A: As per our company guidelines we are supposed to answer only first question. Kindly post other…

Q: Evaluate the integral

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Q: Evaluate the integral. 4 + x2 dx

A: Given,          ∫144+x2xdx

Q: Evaluate the integral: S (in ce) dx = (8 ln(x))²dx 2 (x8) ( ×

A: Evaluate ∫lnx82dx=?

Q: +00 dx Evaluate the improper integral x(In x)²

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Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 5. Evaluate the Integral ?(x²-2)"dx

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Q: -x² хе xe dx =

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Q: Evaluate the integral.

A: Given: The integral, ∫12x5lnx dx.

Q: Evaluate the integral x³ + 76 J dx. x2 + 5x + 4

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Q: Q1 - Evaluate the following integrals In(x) dx

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Q: Using Simpson's 3/8th rule, evaluate the following integral with 6 sub-intervals -2 (x+1)dx Jo…

A: The given integral is ∫02x+1dxx2+2x+2 We will evaluate the integral using Simpson's 3/8th rule with…

Q: x² In x dx 2. 0.

A: we have to evaluate the following improper integral.  For this we can use integration by parts

Q: 8. dx Evaluate the improper integral if it exists O.

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Q: |x2(x? – x)-1 dx

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Q: Evaluate the integral.

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Q: Evaluate the integral J*(x*-1)°dx by using substitution.

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Q: 6 Evaluate the improper integral, if exists : dx (5 – x)3 -00

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Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

Q: 169 dx Evaluate the integral x( In x)° 13

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Q: Evaluate the indefinite integral. x2 – 4 dx

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Q: /1- xº V1-x°

A: