\int {d x}/{(1+\sqrt{x}) \sqrt{x-x^2}}= [AP EAPCET 27 May 2025 S1]

Correct Answer is : −2√1−√x1+√x+c

-2 \sqrt{ {1+{\sqrt{x}}/{1-\sqrt{x}}}+c

-\sqrt{ {1-{\sqrt{x}}/{1+\sqrt{x}}}+c

-2 \sqrt{ {1-{\sqrt{x}}/{1+\sqrt{x}}}+c

2 \sqrt{ {1+{\sqrt{x}}/{1-\sqrt{x}}}+c

AP EAPCET 27 May 2025 Shift 1 Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

∫‌

(1+√x)√x−x2

[AP EAPCET 27 May 2025 S1]

Go to Question:

Prev Question

Next Question