sV2x - x'dx 2x – x'dx

Q: Sx'ln x dx

A:

Q: SOLVE IT BY USING INTEGRABLE COMBINATIONS BY INTEGRATING FACTORS FOUND BY INSPECTION y(2x − y +…

A:

Q: In x x dx

A:

Q: x*+6x° -dx x(x*+4)*

A: It is known that: ∫1xdx=lnx+C∫xndx=xn+1n+1+C Here, C is the integration constant.

Q: x³V4 + x?dx 4.

A:

Q: a) By using integration by parts, find the integral Inx dx. b) Hence, find In Vx dx.

A: We have to apply the integration by parts.

Q: 2. Sx Arctan x dx

A:

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

A: Given that: ∫x9lnxdx

Q: x³ + 4 dx x (x+1)

A:

Q: Use appropriate technique of integration to compute the antiderivative

A: Put,

Q: 3. x Arctan(x) dx

A:

Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

A:

Q: -x2-4x+18 dx (3x+4)(x²+9) 4.

A: Topic = Integration

Q: x° 16x6 -24x3 +9 dx

A:

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

A:

Q: evaluate using Integration by Parts.

A:

Q: Use Integration by Parts to compute j x 2 lnx dx, setting u = x 2 anddv = Inxdx.

A: Given integral is ∫x2lnxdx. Consider  u=x2,dv=lnxdxThen du=2xdx.v=xlnx-x

Q: The integral 1 = [(x* + 5e* + vx )dx is equal to:

A: Given integral is∫x4 + 5ex +x dxevaluate....

Q: Evaluate by changing the order of integration: IL sin y³ dy dx 0.

A:

Q: a" cos xdx

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

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

A: Solution

Q: 1. x° In x dx

A:

Q: dx 6. (x² – 4)2

A: Given:

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

A: #1 Given,  ∫ x9 ln xdx

Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

A:

Q: By reversing the order of integration, evaluate the double integral 4y Vx2 + 1 dx dy :=y²

A: The region of integration is bounded by the parabola x=y^2 , vertical line x=1, x-axis and y=1  The…

Q: Find the results of S Va² + x² dx and f va? – x² dx integrations

A:

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)

A:

Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

A:

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, u is set as: Ox

A:

Q: Sx Arctan(x) dx

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

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: √x x² ln x dx

A:

Q: Use the method of integration by parts to find: In x dx u dv

A:

Q: )Reverse the order of integration and evaluate the integral dy dx y2 +1

A: Explanation of the solution is 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

A:

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: | V2x – x2 dx

A:

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

A:

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

A:

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

A:

Q: 3x2 + 4x + 10 8. *) (2x – 1)(x² + 4)

A: We have to evaluate the integral: ∫3x2+4x+10(2x-1)(x2+4)dxLet3x2+4x+10(2x-1)(x2+4)=A2x-1+Bx+Cx2+4…

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

A: The given integral is: I=∫2x-x2 dx

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

A:

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…