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Evaluate the integerals. int (log (1+...

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

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The correct Answer is:
`(1)/(2) ["log (1+ x)]^(2) + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)
  1. Evaluate the integerals. int (sin(Tan ^(-1) x))/(1+x^(2))dx, x in ...

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

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

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

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

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

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  7. Evalute the following integrals int (sin theta)/(sqrt(2 - cos^(2) th...

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  8. Evaluate int (1)/(1+4x^(2)) dx " on " R.

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  9. Evaluate the integerals. int(1)/(8+2x^(2))dx on R.

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  10. int (x^(3))/(1+x^(4))dx=

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  11. Evaluate the integerals. int (1)/(sqrt(1- 4x ^(2)))dx on (-(1)/(2)...

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  12. Evaluate the integerals. int (3x ^(2))/(1+x^(6))dx, on R.

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  13. Evalute the following integrals int (2x^(3))/(1 + x^(8)) dx

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  14. int (x ^(8))/(1+x^(18))dx on R.

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  15. Evalute the following integrals int (1)/(1 + (2x + 1)^(2)) dx

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  16. Evaluate the integerals. int (dx)/(sqrt(a^(2) -(b+cx)^(2)))on {x i...

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  17. Evaluate the integerals. int (dx)/(a ^(2)+ (b+cx)^(2)) on R, wher...

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  18. Evalute the following integrals int sqrt(16- 25 x^(2) ) dx

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  19. Evalute the following integrals int sqrt(4 x^(2) + 9) dx

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  20. int (1)/(sqrt(9x^(2)-25))dx=

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