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

`int (1-x^(4))/(1-x)dx=`

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The correct Answer is:
`(x^(3))/(3) - x + tan^(-1) ` x + c
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AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int sqrt(16 + x^(2))dx

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  2. Evaluate the following integral int (1 + x^(2))/(sqrt(1 - x^(2))) d...

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

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

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

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  6. Evalute the following integrals int (1)/(x + x" log x " ) dx

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

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  8. Evalute the following integrals int ((x +1)(x + "log x")^(2))/(x ) ...

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  9. Evalute the following integrals int (1)/(x (2 + 3" log x")) dx

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  10. Evalute the following integrals int sin x sin (cos x ) dx

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  11. Evalute the following integrals int (cos sqrt(x))/(sqrt(x)) dx

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  12. Evalute the following integrals int x^(2) " sin "x^(3) dx

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

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  14. Evalute the following integrals int cos ecx log (cos ecx - cot x ) ...

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  15. int (sec^(2)x)/(sqrt(a+b tan x))dx=

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  16. Evalute the following integrals int ("sec x cos ecx")/(log (tan x)) ...

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  17. int x sin (-x^(2)) dx=

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  18. int (secx)/((sec x+ tan x)^(2))dx=

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

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

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