integral of ((1))/((x^2+1))

解答

\int \frac{( 1 )}{( x ^{2} + 1 )} d x

arctan (x) + C

求解步骤

\int \frac{1}{x ^{2} + 1} d x

使用积分常见定则:

\int \frac{1}{x ^{2} + 1} d x = arctan (x)

= arctan (x)

解答补常数

= arctan (x) + C

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