Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available) 0.38x, + 0, 38 8

Q: xdr VI +3

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Q: d.x

A:

Q: dx 3 x² (9x²-4) 7

A: We have to use properties of integration to solve the question

Q: Evaluate the following integral. x - 15 dx x³ - 2x? +x * - 15 dx = - 2x² +x

A:

Q: Evaluate the following definite integral. x + 6 x² + 7x + 12

A: Factor the denominator. ∫01x+6x2+7x+12dx=∫01x+6(x+3)(x+4)dx

Q: Evaluate the following Integral: 2Rx-3 SI + (x² – 3)] dx а. (Rx2-3x+1)5

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Q: Evaluate the following integral. dx x-2x+50

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Q: x2 + 8x + 13 dx (x+ 4)2

A:

Q: Evaluate the following integral. x+5 -dx 2 x* +9

A: We will solve the problem

Q: S sin3 x Vcos x dx

A: This question is based on Indefinite Integral.

Q: 2x e3a² dx

A:

Q: Verify the MVT for f (x) = ln x on [1, 4].

A: f(x)=lnx is continuous in the interval [1,4] f'(x) = 1/x is also continuous on (1,4) So f(x)…

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: Integrate the following: 11X lle dx

A:

Q: (4a3 - 9x² + 7x + 3) e¯ª dx

A:

Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: Evaluate the following integral. 18x2 dx 2 x* - 41x + 400

A:

Q: Evaluate the following integral. 2e21xdx

A:

Q: Evaluate the following integral. 7x²2 dx S- (225+x²)²

A:

Q: evaluate the following intergertal     (e−x + 2x)2 dx

A: Given integral is By using the identity (a+b)^2=a^2+b^2+2ab, we get

Q: Evaluate the following integral: ∫ x+8 / x^2+6x+12 dx.

A: ∫ x+8 / x^2+6x+12 dx.

Q: Evaluate the following integral. 121 -x dx

A: Given ∫121-x2dx

Q: Evaluate the following Integral: 2Rx-3 JTRX2 -3x+1)* + (x² – 3)] dx a.

A: Assume (Rx2 - 3x + 1) = t and use  ∫xndx = xn+1/(n+1)  +  c

Q: Evaluate the following triple integral: 3 x x 6z dzdydx 0 0 y

A:

Q: Evaluate the following integral:

A: To evaluate: ∫122x4+2x3+2x2dx Solution: Re-writting the expression:…

Q: ] Perform the numerical integration for the following unction Jo 1+x2 xp

A: We use trapezoidal rule by taking 4 -sub intervals for this integration.

Q: Evaluate the following integral. 48x² S dx (x-15)(x+5)²

A: Solution of given question is written in below steps.

Q: Evaluate the following integral: x² (3 + 4x – dx

A:

Q: 1. Evaluate the following integral. + 4x + 9x + 13 x +x+4 xp- + 4x + 9x + 13 dx = x* +x+4

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: х3+1 S dx 4. x3-1

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Q: Use the definition in terms of exponential functions to prove the following 1.tanh(In x) %3D x2+1

A:

Q: Evaluate the following integral. 8x 3x – 2 e -dx - 8x 8x dx = e 8x – 2 e - 8x = xp-

A: To find: ∫e8xe8x-2e-8xdx

Q: Evaluate the following derivative. ar (x In (x10)) a (x In (x'0)) = D dx

A: Given: y=xlnx10 we know that ddxu.v=vdudx+udvdx                                    ..1

Q: Evaluate the following integral. 8x2 +x+73 dx (x+ 1)(x² + 9)

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Q: 1 dx (2x + 1)'

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Q: : Evaluate the following integrate: 1- S x²dx √√9-x² 2-[(2 + 5x)e³ dx

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Q: 7x" 3- 2 x5 dx

A:

Q: Evaluate The following integral. 7/4 3. 2x-X dx. (7² +1)(x-1) Gx+)

A:

Q: Evaluate the following: frsin 3x dx

A:

Q: Evaluate the following integral. dx X-2x+5 2-2x+5

A: Rewriting the integrand by completing the square in the denominator,

Q: 1. (3x + 4)² dx

A: Given:  Let I=∫3x+42 dx To Find: To evaluate the given integral.