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CUET
-- Mathematics - Section B1
Indefinite Integration
The value of 2∫1√x√3−x+√xdx= is :
1
12
13
14
The correct answer is Option (2) → 12
I=2∫1√x√3−x+√xdx ...(1)
I=2∫1√1+2−x√3−(1+2−x)+√1+2−xdx
I=2∫1√3−x√3−x+√xdx ...(2)
eq. (1) + eq. (2)
2I=2∫11dx=1
so I=12