(\integral\frac{1}{x^2-2x+2}dx=) | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

$\int\frac{1}{x^2-2x+2}dx=$

A

tan-1(x-1)+C

B

sin-1(2x-1)+C

C

sin-1(x-1)+C

D

tan-1(2x-1)+C

E

$\frac{1}{(2x-1)^3}+C$

Answer

tan-1(x-1)+C

Explanation

Solution

The correct option is (A): tan-1(x-1)+C