v/4 f(u) 10, %3D elsewhere.

Q: 4+ Vx dx 7.

A:

Q: klax=5 and gk)dx = evaluate {12/(x) +6g(x)}dx =

A:

Q: Try: 1. (x? + у? + 3)dx — 2хydy 3 2. (1+ у?x2 + 3x?)dx — 2хус

A:

Q: dx V1+4x²

A: Consider the indefinite integral, ∫dx1+4x2 To solve this integral, apply u-substitution. Substitute…

Q: S x'V4-x2 dx

A: This question can be solved by substituting x=sinθ

Q: III. Evaluate 4 - x -dx. V16 – x2

A:

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: 寸 dx. 2. 11+ズ

A:

Q: dx 3. V25-16x

A:

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: dx 4х + 3

A:

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: dx 16 +x3 dt tvt6 – 4 e* dx /25e2* + 9

A:

Q: dx V4 - x - dx 2 8)

A:

Q: e4z+1 dx e2r – 1 17.

A:

Q: dx 2. メ+2

A:

Q: S (3K +8e -x) dx

A:

Q: x+7 dx. egral: | x² - x-2

A: To find the integration

Q: 9.I = fe* dx V3+4e*

A: There are multiple question. As per company policy kindly ask other question separately. 9.

Q: s dx 20+ 8x - x²

A:

Q: cIn2 cln5 e2r+y dy dx

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: (5 – |r|) dx = -6 |

A:

Q: 4. (d) f(x)dx 6.

A:

Q: e2x 9) S dx 25-e4x

A: To find the value of the given integral, first we use substitute e2x=t, then we use the integration…

Q: (а) / х V2х — 1 dx (b) dx e4x +1

A: (a) Given data:   The given integral is: Assume 2x-1=t and differentiate it with respect to x.…

Q: d (cosh x) dx Vx2

A:

Q: la+ 10] =D2 %3D 9.

A: NOTE: Refresh your page if you can't see any equations. . multiply both sides by 9

Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: dx = 2+2

A:

Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: glx)=Dx-4 X+9 g(xth)3D/

A:

Q: 9. dx J1 (3x²+1)3

A:

Q: Sxę dx = -e* (x2 ++)+c

A:

Q: (x + 5) dx V4 - x2

A: This question can be solved using integration by substitution and using the formula of some special…

Q: Zln x dx

A:

Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.

Q: S dx 3x-1 b.

A:

Q: Sx² e**dx 1.

A:

Q: Q1 Evaluate dx 1-х4

A:

Q: Lsgn(x- 2)dx = 1. 0 2. 2 3. -2 4. -1 1 2 0 4

A: Integration of Signum function

Q: dx 7. S. 9x2+16 tdt 8. S 9. S V25 – 4x²

A:

Q: Find:

A:

Q: Sx V1 – x² dx 3.

A:

Q: V4- V4-x dx 11.

A: Solution of question as follows

Q: dx 2 .2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: L[Df] -f = L[0] L[Df] - L[1 = L[0] L[Df] - L[f] = 0 Df-LIf1 = 0

A: Topic = Laplace transform

Q: 3X +|l dx X² - X-LO

A: We have to solve