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int (x^(3))/(sqrt(a^(8)-x^(8)))dx=...

`int (x^(3))/(sqrt(a^(8)-x^(8)))dx=`

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The correct Answer is:
`(1)/(2a^(+3)) [ tan^(-1) ((x)/(a)) + (1)/(2) sin 2 (tan^(-1) ((x)/(a))) ] + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int (" tan x")/(1 + cos^(2) x) dx

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  2. Evalute the following integrals int (1)/(x - sqrt(x^(2) + a^(2))) d...

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  3. int (x^(3))/(sqrt(a^(8)-x^(8)))dx=

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  4. Evaluate the integerals. int (dx)/((x^(2) +a^(2))^(2)), (a gt 0) ...

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

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  6. Evalute the following integrals int (1)/((1 + sqrt(x)) sqrt(x - x^(2...

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  7. Evalute the following integrals int (1)/(e^(x) e^(-x)) dx

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

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  9. Evaluate the integerals. int sqrt(e ^(x) -4) dx on [log (e) 4, oo...

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  10. Evaluate the integerals. int sqrt(x+sec x)dx on [(2n -(1)/(2))...

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  11. int (x^(2))/(x^(6)+2x^(3)+2)dx=

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

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  13. Evalute the following integrals int (x^2)/((x^(2) + 4)(x^(2) + 9)) ...

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  14. Evalute the following integrals int (x^(5))/(x^(3) - 1) dx

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  15. Evalute the following integrals int (" cos x")/(sqrt(3 sin^(2) x - 4...

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  16. int(x^(2)-1)/(x^(4)+1)dx=

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

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  18. Evaluate the integerals. int (x ^(2) +1)/(x ^(4) +1) dx on R.

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

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  20. int (1)/(cos x+ sin x)dx=

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