The integral \int{dx}/{(1+\sqrtx)\sqrt{x-x^2} is equal to: (where C is a constant of integration.) [Main 10 Apr 2016]

Correct Answer is : −2√1−√x1+√x+C

-2\sqrt{\frac{1+\sqrtx}{1-\sqrtx}}+C

-2\sqrt{\frac{1-\sqrtx}{1+\sqrtx}}+C

-\sqrt{\frac{1-\sqrtx}{1+\sqrtx}}+C

2\sqrt{\frac{1+\sqrtx}{1-\sqrtx}}+C

Indefinite Integrals

Section: Mathematics

Question : 78 of 89

Marks: +1, -0

The integral ∫

(1+√x)√x−x2

is equal to:
(where C is a constant of integration.)

[Main 10 Apr 2016]

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