Find J 15x(4)* - dx

Q: Find y' if  y = ln(3x2 + 5y2).

A: we have to find the derivative of y

Q: ive non-zero of power s-

A:

Q: Differentiate. h(x) = In(xe-2*)

A: First simplify the given function using properties of lograthim than simply take the derivative.

Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

Q: dx 1. x(In 4x-1)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 2 cosh x +losion2x = 5

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

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

A:

Q: Evaluate sech(3 – 2y)" dy

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

A:

Q: Evaluate S (2x+3) dx x² (x²+1)

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Q: 13x +5 If x- 2x dx = A In|x

A: Given that, ∫13x+5x2-2xdx=Alnx+Blnx-2+C We have to find the value of A + B.

Q: 4. Compute , 3x – V1 – x² dx.

A:

Q: Find y' if y = ln(7x2 + 3y2)

A: The given function is:

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: d Evaluate 1x sec -'x2 dx

A: to evaluate the value of: dxsec-1xdx when x=23 as we know that product rule of differentiation is:…

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: Find d^2/dx^2 x=1 (exlnx)=

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: 5. Show that (x² + 1)e-* dx = -x²e-x – 2xe-x – 3e-x +C

A:

Q: S(2-x) In(4x)dx

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Q: -1)/(x4))1/2

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Q: Find ſ x²e-0.5x dx

A:

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: Evaluate 2х— 7 -dx J x2 — бх + 10

A:

Q: Calculate S√4-x² dx

A:

Q: 6x+3 J x+sx +6

A:

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: 4-x dx 4

A: Given       ∫4-x2x4dx

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: Evaluate Ssin" (2sv1-x*)ds. dx.

A:

Q: -3 In (x) dx

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Q: Find S x-2 dx Vx+3

A: Integration is the process of finding the anti-derivative function of the given function. A…

Q: Evaluate ſ _dx V16-x 4-x

A:

Q: In(x) dx 4

A: we know that, intergration of ln(x) = xln(x)-x Also d/dx (ln(x)) = 1/x integration of 1/x = lnx

Q: 5. j(4x²-5x+4)*(8x-5)dx 6X dx x ²-5

A:

Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: x2 dx Vx2+12

A:

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: Compute 1 2te-82 dx. x4

A:

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: 1 Jx(х + 4)+

A:

Q: Evaluate : J dx 3

A:

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx