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Evalute the following integrals int e^...

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

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The correct Answer is:
log `|sin (e^(x))|+c `
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)
  1. Evalute the following integrals int (cot ("log x"))/(x) dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Evaluate int (1)/(sqrt(sin ^(-1) x sqrt(1-x^(2))))dx on I= (0,1).

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  19. int (x^(2))/(sqrt(1-x^(6)))dx on I =(-1, 1).

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  20. Evaluate the integerals. int (cosec ^(2)x)/((a+b cot x)^(5)) dx on...

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