Question
Question: \(\int \frac { d x } { \sqrt { 2 x - x ^ { 2 } } }\) is equal to...
∫2x−x2dx is equal to
A
sin–1 (1 - x) + c
B
– cos–1 (1 – x) + c
C
sin-1 (x – 1) + c
D
cos-1 (x – 1) + c
Answer
sin-1 (x – 1) + c
Explanation
Solution
Let
∫2x−x2dx is equal to
sin–1 (1 - x) + c
– cos–1 (1 – x) + c
sin-1 (x – 1) + c
cos-1 (x – 1) + c
sin-1 (x – 1) + c
Let