x*+6x° -dx x(x*+4)*

Q: Sx'ln x dx

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: Given ∫6cos(x)dx

Q: sV2x - x'dx 2x – x'dx

A: We use appropriate substitution to compute the given integration.

Q: Reverse the order of integration in S S(2xy + 1)dxdy and then evaluate.

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Q: Reverse the order of integration and then evaluate. So S, x? sin(xy)dxdy а.

A: Let's find.

Q: x³V4 + x?dx 4.

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Q: 2. Sx Arctan x dx

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Q: Use the appropriate technique of integration to compute the following antiderivative 1. (x° ln x dx

A: Given that: ∫x9lnxdx

Q: 3. x Arctan(x) dx

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Q: -x2-4x+18 dx (3x+4)(x²+9) 4.

A: Topic = Integration

Q: 32. Evaluate by changing the order of integration: sin y dy dx

A: Given that ∫04∫x2siny3dydx Here x=0 to x=4y=x to y=2

Q: [₁ 2x - x² dx

A: To integrate.

Q: 1 to evaluate Vx - x dx. 8. (a) Use the substitution x = (b) Apply the integration by parts…

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Q: evaluate using Integration by Parts.

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Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

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Q: When approximating f(x) dx using Romberg integration, R4,4 gives an approximation of order:

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Q: 1. x° In x dx

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Q: dx 6. (x² – 4)2

A: Given:

Q: 2. Reverse the order of integration and then evaluate. o S x² sin(xy)dxdy a.

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Q: -x2 - 4x + 18 -dx J (3x + 4)(x2 + 9)

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Q: |x° In x dx

A: Here we have to calculate,  a) ∫x9ln(x)dxb) ∫xtan-1(x)dx

Q: -x2-4x+18 -dx (3x+4)(x2+9)

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Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

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Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx…

A: we have to find the integration by parts from the following

Q: Sx Arctan(x) dx

A: To find:              ∫ x tan-1x dx

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

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Q: Reverse the order of integration and then evaluate. a. S S, x² sin(xy)dxdy

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Q: хIn x dx х Arctan (x) dx

A: The given integral is ∫x9 ln x dx Note:     Multiple questions are given, we are answer only one…

Q: To find the definite integral Vx2 + 64 dx, apply the basic integration rule. Let u = x2 + 64.…

A: We have to find the definite integral. Here we are using integration by substitution.

Q: √x x² ln x dx

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Q: To evaluate S (In x)² -dx, apply integration by parts twice. For the second application of…

A: Follow the procedure given below.

Q: -x-4x+18 -dx (3x+4)(x*+9)

A: We have to solve ∫-x2-4x+183x+9x2+9dx We first simplify the integrand before integration.

Q: Sx 2 V4 + x´dx

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: Reverse the order of integration and then evaluate the integral. sin y dy dx 0x y O A. 1- cos 9 O B.…

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Q: [x²√√x + 17 dx

A: ∫ x2x+17dxLet u=x+17.=∫u-172udu=∫ u52-34u32+289udu=∫ u52du-∫ 34u32du+∫…

Q: (i) Change the order of integration in the integral Vi-x dx dy (1+ev)NI-x²-y and hence evaluate.

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

Q: Reverse the order of integration and evaluate the integral. 1 1 dy dx + 1 0 4x

A: ∫01∫x1x2y7+1dydx⇒∫0=x1=x∫x=y1=yx2y7+1dydx The reversed order of the integration is…

Q: | V2x – x2 dx

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Q: Find the antiderivative using the table of integration formulas. dx 2 324 - x

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Q: S S.(x + y)dxdy by reversing the order of integration.

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Q: find the Following integration ion:- o SCxX-++x)(x²-1) dx +4X 2) tanuł

A: Please post questions with multiple subparts separately.1) ∫(x4+4x)(x3+1)dxWe will first simplify…

Q: Use the appropriate technique of integration to compute the following antiderivatives. 1. Sx°lnx dx…

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Q: Consider evaluating x ln x dx using integration by parts. Which of the following would be the best…

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Q: Use the appropriate technique of integration to compute the following antiderivatives. Show complete…

A: The given integral is: I=∫2x-x2 dx

Q: Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: Q4- BY usin simpson rule for integration find J=Jo' e* dx. n=10

A: J=∫01e3xdx.   N=10 f(x)=e3x h=b-aN h=1-010=0.1 The value of table for x and y x 0 0.1 0.2 0.3 0.4…

Q: x – 2 dx 9. J x² (x – 1)²

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Q: x³ V 4 + x2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…