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Evalute the following integrals int ("...

Evalute the following integrals
`int (" sinh x " + (1)/(sqrt(x^(2) - 1)) ) " dx, |x| " gt ` 1

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The correct Answer is:
cosh x + log` |x + sqrt(x^(2) - 1) | ` + c
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.1(VERY SHORT ANSWER QUESTIONS)
  1. Evalute the following integrals int (sin x)/( 1 + sin " x") dx

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  2. Evalute the following integrals int (2 cos ^(3) x + 3 sin^(3)x )/(si...

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  3. Evalute the following integrals int ("cosec "x)/("cosec" x - cotx") ...

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  4. Evaluate the integerals. int sqrt(1- sin 2x)dx on I sub{2n pi -(...

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  5. Evalute the following integrals int sqrt(1 + sin 2 x ) " dx , x in [...

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  6. int (1+sin^(2)x)/(1+cos 2x)dx=

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

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  8. Evaluate the integerals. int (e^(x)-(1)/(x)+(2)/(sqrt(x^(2)+1))) d...

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

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

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  11. Evaluate the integerals. int((1)/(sqrt(x))+(2)/(sqrt(x^2-1))-(3)/...

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  12. Evalute the following integrals int (sec^(2) x - cos x + x^(2)) dx

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  13. Evalute the following integrals int ( " sec x.tan x" + (3)/(x) - 4) ...

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  14. Evaluate the integerals. int (x^(3) -cos x +(4)/(sqrt(x^(2) +1)))d...

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

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  16. Evaluate the integerals. int (cos h x+(1)/(sqrt(x^(2) +1)))dx, x in...

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  17. Evalute the following integrals int (1)/("cosh x+ sinh x ") dx

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  18. Evalute the following integrals int (2x - 3 cos " x" + e^(x)) dx

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

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

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