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Evalute the following integrals int ((...

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

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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