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Evalute the following integrals int ((...

Evalute the following integrals
`int ((1 + log x)^(n))/(x) `dx

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The correct Answer is:
`(1)/(n+1) (1 + log x)^(n+1) + c`
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the integerals. int (cos (log x))/(x)dx on (0,oo).

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  2. Evaluate the integerals. int (1)/(x log x) dx on (-1, oo)

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  3. Evalute the following integrals int ((1 + log x)^(n))/(x) dx

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  4. Evalute the following integrals int (cot ("log x"))/(x) dx

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  5. Evaluate the integerals. int e ^(x) sin e ^(x) dx on R.

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  6. Evalute the following integrals int e^(x) "cot " e^(x) dx

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  7. Evaluate the integerals. int x ^(3) sin x ^(4) dx on R.

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  8. Evalute the following integrals int 2 x cos " (x^(2) + 1) dx

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  9. Evaluate the integerals. int (e ^(Tan ^(-1)x))/(1+x^(2))dx on I su...

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  10. Evalute the following integrals int 2 xe^(x^(2)) dx

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  11. Evalute the following integrals int " sec (tan x) " sec^(2) x dx

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  12. Evaluate the integerals. int sqrt(sin x) cos x dx on [2n pi, (2n ...

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  13. Evaluate the integerals. int cosec ^(2) x sqrt(cot x) dx on (0, (...

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  14. Evaluate int cos ^(3) x sin x sx on R.

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  15. Evaluate the integerals. int 3sqrt(sin x)cos x dx on [2 n pi, (2n ...

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  16. Evalute the following integrals int sin^(2) x dx on R

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  17. Evalute the following integrals int (cos" x")/((1 + " sin x")^(2)) ...

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  18. Evaluate the integerals. int (sin(Tan ^(-1) x))/(1+x^(2))dx, x in ...

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  19. Evalute the following integrals int (sec^(2) x)/( ( 1 + tan x )^(3))...

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  20. Evaluate the integerals. int (log (1+x))/(1+x)dx on (-1 , oo).

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