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If f(x) = int0^xt sin t dt then find f'(...

If f(x) = `int_0^xt sin t dt` then find f'(x).

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USHA PUBLICATION-INTEGRATION AREA UNDER PLANE CURVES DIFFERENTIAL EQUATION -EXERCISE
  1. Evaluate int0^1e^x{f(x)+f'(x)}dxwhere f (1)=f(0)=1

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  2. Evaluate int(-1)^(1)sin^(5)xcos^(4)xdx.

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  3. If f(x) = int0^xt sin t dt then find f'(x).

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  4. Find the Oder and degree,if defined,of each of the differential equati...

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  5. Find the Oder and degree,if defined,of each of the differential equati...

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  6. Solve dy/dx=(e^x+1)y.

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  7. Solve the following differential question: (d^2y)/(dx^2)=0, (d^2y)/(dx...

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  8. Write simplest integrating factor of: dy/dx+y/x=x

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  9. Determine the integrating factor for the differential equation: dy/dx-...

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  10. Find Integrating factor of:(x logx)dy/dx+y=2logx

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  11. Reduce the different equation:xdy/dx+y=xy^2into linear from.

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  12. Show that the differential equation (x-y)dy/dx=X+2yis homogeneous and ...

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  13. solve the differential equation:dy/dx=3x-y-4/2y+x+3

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  14. Write the solution of the differential equation:dy/dx=y/x.

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  15. Evaluate the integral: intxcos^3x^2sinx^2 dx

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  16. Evaluate the integral: intx^3 tan^4x^4sec^2x^4dx

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  17. Evaluate the integral:intdx/(7xsqrt((2x^4-4)

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  18. Perform the integration:intcos xcos 2 xcos3xdx

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  19. Perform the integration:intCos^9x/(sinx)dx

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  20. Perform the integration: int(Cos2x-cos2a)/(cosx-cosa)dx

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