Compute the indefinite integral 2. 4e2a + 6x 5) dx. - -

Q: 2. Compute the indefinite integral xe dx

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Q: 2x e dx +1 2x

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Q: Evaluate the integral dx (5ӕ + 10)2 by making the appropriate substitution: u = dx (5x + 10)? II

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Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: Find the indefinite integral.

A:

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: Sec? ( 7x-8) dx =?

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

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Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: g integral. dx

A: Given query is to find the value of the integral.

Q: Evaluate the indefinite integral: (In æ)5 dx +C %3D

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

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Q: tan (In |4x²|) (In |(2x)^|)|+C. what is b? The integral of -dx is b In cos

A: Given: ∫tanln4x2xdx Integrate the equation we get, Consider, u=ln4x2 du=2xdx Substitute in integral…

Q: Evaluate the indefinite integral 4 dx 15x + C

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Q: Find the indefinite integral.

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Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

Q: Evaluate the double integral : 8. dy dx 88 -

A: We have to evaluate the given double integral   The given expression is

Q: Evaluate the integrals below: 1 2y .dx cos3x а) .dx, b) 0. lelsin3x – 1)

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate the integral. integral 0  to pie /2     sin 3x  cos 2x dx

A: Consider,

Q: Evaluate the indefinite integral: 3 dx J x In(5x)

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Q: 1+cos 4x dx 1-cos 4x 10.

A: Evaluate integral

Q: Show using residues that   the integral from 0 to infinity of dx/(1+x^6) equals (2pi)/3

A: We have to show that ∫0∞dx1+x6=2π3 by using residue theorem. Now, ∫Cdz1+z6=∫−RRdx1+x6+∫γdz1+z6 Now,…

Q: 1 dx = 2 o 4+x'

A:

Q: Evaluate the integral

A: The integral is given by,

Q: Evaluate the integrals ∫cos 2x dx

A: We have to evaluate the integral: ∫cos 2x dx In this case we do use substitution method so assuming,…

Q: Determine the following indefinite integral.

A: The given indefinite integral is: ∫1x2-2x52dx Now, use the exponent property 1xn=x-n . ∫x-2-2x-52dx…

Q: evaluate the integral (Usec. af nitegratun) for the constant बदेशव 1ehan) 5x cos (8x) dx

A: Given

Q: Find the indefinite integral 3x2 dx et 2.

A: ∫ex-3x22 dx

Q: calculate the integral.

A: Given integral:

Q: Evaluate the indefinite integral

A: Given:

Q: Evaluate the integrals ∫cos 3x cos 4x dx

A: Evaluate ∫ cos 3xcos 4xdx

Q: 9 dx J x In(6x)

A:

Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

Q: 4. Prove using the results concerning iterated integrals that In 5 dx = 4 sin? x

A: Given:-                 To prove the result concerning iterated integrals that…

Q: Evaluate the integral 10 cos(In(x)) dx, x > 0

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Q: Evaluate the indefinite integral. V6 + x°dx + C

A: Evaluate ∫x56+x6dx

Q: Evaluate the indefinite integral. V8 + x°dx + C

A: topic - indefinite integral

Q: Consider the indefinite integral dx: + 8)°

A: Given,  ∫ x5x6+86dx

Q: dx (4 + x²)²

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Q: + 3x dz. x2 + 1

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Q: Compute the definite integral 2 dx Vx² + 4

A: First, we need to compute ∫xx2+4dx

Q: Evaluate the integral 3. 2х cos(xy)dydx 2

A:

Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: s(3x)dx, u=3X Scos(3) dx =?

A: We use substitution method to solve the integration.

Q: In 3 | (1– x)e"dx X — х In 3

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Q: Evaluate the integrals in ∫dx/1 + ex

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Q: Evaluate the double integral : 9 dy dx 36 – 12 - 12 -36

A: