Question
Question: \(\int _ { 0 } ^ { 1 } \frac { d x } { \sqrt { 1 + x } - \sqrt { x } } =\)...
∫011+x−xdx=
A
322
B
342
C
382
D
None of these
Answer
342
Explanation
Solution
I=∫011+x−xdx=∫01(1+x−x)(1+x+x)(1+x+x)dx
=∫011+x−x(1+x+x)dx=∫011+xdx+∫01xdx=342 .