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人気のある微分積分 >

integral from 1 to infinity of 1/(x^2+3)

解

\int_{1}^{\infty} \frac{1}{x ^{2} + 3} d x

解

\frac{π}{3 3}

+1

十進法表記

0.60459 \dots

解答ステップ

\int_{1}^{\infty} \frac{1}{x ^{2} + 3} d x

不定積分を計算する:

\int \frac{1}{x ^{2} + 3} d x = \frac{1}{3} arctan (\frac{x}{3}) + C

限度を計算する:

\int_{1}^{\infty} \frac{1}{x ^{2} + 3} d x = \frac{π}{2 3} - \frac{π}{6 3}

= \frac{π}{2 3} - \frac{π}{6 3}

簡素化

= \frac{π}{3 3}

人気の例

derivative y=\sqrt[3]{1.6x^2+4.9}

d er i v a t i v e y = 3 1.6 x^{2} + 4.9

derivative f(t)= 1/2 (9t^2+t)^{-3}

d er i v a t i v e f (t) = \frac{1}{2} (9 t^{2} + t)^{- 3}

limit as x approaches infinity of 21^x

x \to \infty lim (2 1^{x})

(\partial)/(\partial y)(cos(12x)sin(2y))

\frac{\partial}{\partial y} (cos (12 x) sin (2 y))

derivative f(x)=-247

d er i v a t i v e f (x) = - 247