Solve the following integral 1+x (a) S dx 1+x2 x+3 (b) S dx 2x3-8х

Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: Determine the following integral: 3x + 3 dx x2 + 7x + 12

A:

Q: S (x² – 12x + 100)(6 – x)dx -

A: We can solve as follows

Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sin6 x+cos6 x sin ³ x cos³ x…

A: According to our guidelines, we can answer only one question or three subparts of a question.other…

Q: Solve the following integral using substitution method: X S. dx √x²-1

A:

Q: 2) Solve the following integral dx xV25x² – 2 V25x2

A:

Q: Find the integral. |(2x° – 7x° + 5) dx 1 A. 3 7 4 x* + 5x + C 4

A: he given integral is ∫2x5-7x3+5dx

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: 1. L, 4x³ dx -2

A: Value of definite integral is 65.

Q: What change of variables would you use for the integral S (4 – 7x)-6 dx?

A:

Q: Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6.…

A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

Q: Solve the following integral. xp- 2x* dx Jo Tx5(3-x)

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

Q: 1 dx x² – 4x + 4

A:

Q: Evaluate the definite integral: 4 dx 0 x2+16

A:

Q: Q7. Solve the following improper integrals: 2x 00 dx (i) (ii) x* +1 (x² +1)2

A:

Q: Evaluate the following integral. 3 5x(x - 3)dx 0

A:

Q: Solve the following integral. x2 dx J x² + 3x + 2

A:

Q: Evaluate the integral. (e 4X +7e=x) dx |(* +7e *) dx=] 7eX) dx:

A: Given: I=∫e4x+7e-xdx we know that ∫ekxdx=ekxk+c                                             ..1

Q: 24. Solve the following integral using substitution method: f8x√2x² - 1dx

A: Sol:- ∫ 8x2x2-1dxTake the constant out:  ∫a·fxdx=a·∫fxdx=8·∫ x2x2-1dxIntegral Substitution…

Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

A:

Q: 2 x – 4 dx .2 1

A:

Q: Solve the following integral (a) S dx 1+x (b) S dx 2x-8x

A: a) ∫1+x1+x2dxb) ∫x+32x3-8x

Q: Evaluate the following integral 2 I = (4x3 – 3x2 +x – 1)dx, | -1 2.1. analytically 4

A: Thanks for your question. Since your question contains multiple parts, so we are solving the first…

Q: Evaluate the definite integral. 10x dx 19+5x2 Select one: OA. - 2 1 + 6 B. 14 2 2 C. VT - 3 D. 2/T -…

A:

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: Solve the integral: 3√x x² dx

A:

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: Find the indefinite integrals below. a) S 12x³ Vxdx dx x³-7 b) S c) S 9e0.2x dx

A: We have tofind the indefinite  integrals.

Q: Evaluate the integral. 13 x2 e-2 dx + C

A: topic - indefinite integral

Q: a) S In Gxt1) dx 2.

A: In this question we have to find the Integration. Formula Used, - Chain Rule. - ∫lnx=1x+C

Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

A:

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

A:

Q: Find the value of the integral. n dx. 2

A: Given,          ∫-π2π2π dx

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: (E) dx 4 2. \(3x-5)2,

A: We have to evaluate the given definite integral.

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: Evaluate the integral. 5х — 7 dx 1+x2

A: Given: ∫5x-71+x2dx To evaluate the integral.

Q: dx (b) . +2) (x +3)

A:

Q: Solve the integral: √√ 3√x dx x²

A:

Q: find the integral 4V2 (4 – x³)/² dx 3

A:

Q: x² -25 dx 3x+15 e)

A: Given integration is : ∫x2-253x+15dx  To find the value of integration.

Q: dx 1+ x6

A:

Q: In x dx .2

A: We need to solve the integral.

Q: Find the integral 1 dx = 9 – x²

A: We have to find the integral: ∫0119-x2dx Simplifying the question so that we can use the table of…

Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

A:

Q: dx 나) | 10-10x

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

Q: 2.x dx +1, x'

A: Let I is the value of given Integral.