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Evaluate the following w.r.t x: If f'(x)...

Evaluate the following w.r.t x: If f'(x)= 4`x^3` - 3`x^2` +2x +k, f(0)=1 and f(1)=4, find f(x)

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CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. Evaluate the following w.r.t x: int frac{(a^x + b^x)^2}{a^x b^x} dx

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  2. Evaluate the following w.r.t x: If f'(x)= 8x^3 + 3x^2 -10x +k, f(0)=-3...

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  3. Evaluate the following w.r.t x: If f'(x)= 4x^3 - 3x^2 +2x +k, f(0)=1 a...

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  4. Evaluate the following w.r.t x: If f'(x)= k(cos x - sin x), f'(0)=3 an...

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  5. Evaluate the following w.r.t x: inttan^(-1)(sec 3theta - tan 3theta) d...

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  6. Evaluate the following w.r.t x: inttan^(-1)(sqrt (frac {1-sin x}{1+sin...

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  7. Evaluate the following w.r.t x: inttan^(-1)(frac {2 tanx}{1- tan^2x}) ...

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  8. Evaluate the following w.r.t x: int frac {cos 4theta +1}{cot theta - t...

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  9. Evaluate the following w.r.t x: intcot^(-1)(sqrt (frac {1+cos theta}{1...

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  10. Evaluate the following w.r.t x: int frac{cos 2x- cos 2 alpha}{cos x -c...

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  11. Integrate the following w.r. t. x: int sec^nx tanx dx

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  12. Integrate the following w.r. t. x: int frac{sin x}{1+cos x} dx

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  13. Integrate the following w.r. t. x: int frac{1}{3x+5x^(-5)} dx

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  14. Integrate the following w.r. t. x: int frac{sec x tan x}{3 sec x + 5} ...

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  15. Integrate the following w.r. t. x: int frac{e^x(1+x)}{sin^2 (x e^x)} d...

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  16. Integrate the following w.r. t. x: int frac{sec^8 x}{cosec x} dx

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  17. Integrate the following w.r. t. x: int e^x (x+1) cos^2 (xe^x) dx

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  18. Integrate the following w.r. t. x: int frac{1}{x(3+log x)} dx

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  19. Integrate the following w.r. t. x: int tan 2x. tan 3x. tan 5x dx

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  20. Integrate the following w.r. t. x: int frac{1- cot x}{1+ cot x} dx

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