integral of (11)/(x^2+1)

解答

\int \frac{11}{x ^{2} + 1} d x

11 arctan (x) + C

求解步骤

\int \frac{11}{x ^{2} + 1} d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \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)

= 11 arctan (x)

解答补常数

= 11 arctan (x) + C

\int sin (2 x - \frac{π}{2}) d x

\int (a^{2} - x^{2})^{\frac{3}{2}} d x

d er i v a t i v e lo g_{5} (x^{2} - 4)

\frac{d}{d θ} (5 sin (2 θ))

y^{^{''}} + 3 y = 0