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int e^(3 log x) (x^4 + 1)^(-1) dx =........

`int` `e^(3 log x) (x^4 + 1)^(-1)` dx =............. A) (1/2) `tan^(-1)` (`x^e`) + c B) (1/4) `tan^(-1)` (`x^2`) + c C) (1/4) log (`x^4` + 1) + c D) (1/2) log |(`x^4`+ 1)| + c

A

(1/2) `tan^(-1)` (`x^e`) + c

B

(1/4) `tan^(-1)` (`x^2`) + c

C

(1/4) log | (`x^4` + 1)| + c

D

(1/2) log |(`x^4`+ 1)| + c

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CHETANA PUBLICATION-Indefinite Integration-Exercise
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  3. int e^(3 log x) (x^4 + 1)^(-1) dx =............. A) (1/2) tan^(-1) (x...

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  4. int frac{e^x(1+x)}{ cos^2 (x e^x)} dx=.............. A) tan(xe^x) + c...

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  5. int frac{1}{sin(x-a) sin(x-b)} dx =.......... A) int frac{1}{sin(b-a)...

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  6. int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{...

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  8. intfrac{5x-1}{3x^2+x+2}dx =....(5/6)log|3x^2+x+2|+frac{11}{3sqrt 23}ta...

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  13. int tan^(-1)sqrt x dx=.............a)xtan^(-1)sqrt x - sqrt x + tan^(-...

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  14. int e^x frac{x}{(x+1)^2} dx =........... A) e^x(x+1) + c B) frac{e^x...

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  17. intfrac{1}{4+5 cos^2 x} dx=.............. A) (1/3)tan^(-1)((2/3)tan x...

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  18. intsin^(-1) x dx=............ A) x sin^(-1) x + sqrt (1-x^2) + c B) ...

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  19. int frac{e^(1/x)}{x^2} dx=........... A) frac{e^(1/x)}{x^2} + c B) 1...

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  20. int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x ...

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