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Evalute the following integrals int (x...

Evalute the following integrals
`int (x^(3))/( sqrt( x + 1))` dx

Text Solution

Verified by Experts

The correct Answer is:
`2 [ (1)/(7)t^(7) - (3)/(5) t^(5) + t^(3) - t] + c " where " t = sqrt(x+1)`
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(SHORT ANSWER QUESTIONS )
  1. Evalute the following integrals int (x^(2))/(sqrt(1- x^(2))) dx on (...

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

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  3. int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=

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  4. Evalute the following integrals int (x)/(sqrt(1- x)) dx, x in I = (0...

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  5. Evalute the following integrals int (x^(2))/(sqrt(1- x^(2))) dx on (...

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  6. Evalute the following integrals int tan^(4) x sec^(2) x dx

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  7. Evalute the following integrals int (sec x)/((sec x +tan x )^(n)) d...

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  8. int (sin 2x)/(a cos^(2)x+b sin^(2)x)dx=

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  9. Evalute the following integrals int (1)/(1 +sin 2 x) dx

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  10. int (1)/(sin(x-a)sin (x-b))dx=

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  11. Evalute the following integrals int (1)/(cos (x -a ) cos (x - b)) d...

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  12. Evalute the following integrals int (sin x)/(sin (a + x)) dx

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  13. int (cot x)/(log (sin x))dx=

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  14. Evalute the following integrals int ((x^(3) -x)^(1//3))/(x^(4)) dx

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  15. Evalute the following integrals int "cosec"^(2) x sin 2 x dx

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  16. Evalute the following integrals int (dx)/(cos^(2) x + sin 2 x )

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  17. Evalute the following integrals int (x^(2) + 1)/(x^(4) + 1) dx

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  18. Evaluate the integerals. int (dx)/(a ^(2) sin ^(2) x+b^(2) cos ^(2...

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  19. Evaluate the integerals. int x sqrt(4x+3) dx on (-(3)/(4), oo).

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  20. Evalute the following integrals int cos x cos 2x dx

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