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If f'(x)=e^x+1/(1+x^2) and f(0)=1, then ...

If `f'(x)=e^x+1/(1+x^2)` and `f(0)=1,` then find f(x).

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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
  1. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  4. Evaluate int (log x)^2 dx

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  5. Evaluate: int(2x+9)/(x+3)^2dx

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  6. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  7. Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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  8. Solve dy + e^-y sin x dx = 0.

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  9. Solve: (x^2-1)dy/dx+2xy=1

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  10. Prove that |a+b| le |a| + |b| State when equality will hold,

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