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人気のある微分積分 >

integral from 0 to 1 of sin(x)+cos(x)

解

\int_{0}^{1} sin (x) + cos (x) d x

解

- cos (1) + 1 + sin (1)

+1

十進法表記

1.30116 \dots

解答ステップ

\int_{0}^{1} sin (x) + cos (x) d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} sin (x) d x + \int_{0}^{1} cos (x) d x

\int_{0}^{1} sin (x) d x = - cos (1) + 1

\int_{0}^{1} cos (x) d x = sin (1)

= - cos (1) + 1 + sin (1)

グラフ

人気の例

integral from 0 to L of sin^2((2pix)/L)

\int_{0}^{L} sin^{2} (\frac{2 π x}{L}) d x

integral from-4 to 4 of (x/2+1)

\int_{- 4}^{4} (\frac{x}{2} + 1) d x

integral from 0 to 3 of 3t-7

\int_{0}^{3} 3 t - 7 d t

integral from 0 to pi of cos(n)x

\int_{0}^{π} cos (n) x d x

integral from 2 to 3 of (3x^2-(x^3)/4)

\int_{2}^{3} (3 x^{2} - \frac{x ^{3}}{4}) d x