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CHETANA PUBLICATION-Indefinite Integration-Exercise
- int e^x frac{x}{(x+1)^2} dx =........... A) e^x(x+1) + c B) frac{e^x...
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- intfrac{x+1}{x^2 + 5x + 6} dx=............ A) log(x+2) +2 log(x+3) +...
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- intfrac{ t^2 + 1}{ t^4 + 1} dt=...........a) frac{1}{sqrt2}[tan^(-1)(s...
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- intfrac{1}{4+5 cos^2 x} dx=.............. A) (1/3)tan^(-1)((2/3)tan x...
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- intsin^(-1) x dx=............ A) x sin^(-1) x + sqrt (1-x^2) + c B) ...
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- int frac{e^(1/x)}{x^2} dx=........... A) frac{e^(1/x)}{x^2} + c B) 1...
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- int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x ...
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- int sin^2 x cos^2 x dx=............. A) 1/8(x-frac{sin 4x}{4}) + c B...
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- int frac{1}{ 3 x- 2 sqrt x} dx=..........
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- intfrac{x^2 + 3x +5}{(x+2)(x^2 + 2x +3)} dx=............ (A) log (x+2...
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- Evaluate the following: inttan^2 x dx
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- Evaluate the following: int x root(3)(x) dx
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- Evaluate: int log x dx
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- Evaluate: int e^x (sin x+ cos x) dx
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- Evaluate: int frac{1}{x^2 + 2x + 5} dx
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- Evaluate: int frac{x}{x^27} dx
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- Prove that int frac{1}{sqrt (x^2 - a^2)} dx = log (x+ sqrt (x^2 -a^2))...
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- Evaluate int frac{x+3}{sqrt (x^2 + 2x + 2)} dx
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- Evaluate int frac{x^2}{(x^2 + 4)(x^2 + 9)} dx
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- Evaluate the following: int x tan^(-1) x dx
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