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人気のある微分積分 >

integral from-2 to 2 of x^3+1

解

\int_{- 2}^{2} x^{3} + 1 d x

解

4

解答ステップ

\int_{- 2}^{2} x^{3} + 1 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_{- 2}^{2} x^{3} d x + \int_{- 2}^{2} 1 d x

\int_{- 2}^{2} x^{3} d x = 0

\int_{- 2}^{2} 1 d x = 4

= 0 + 4

簡素化

= 4

グラフ

人気の例

tangent f(x)=x^3+x,\at x=0

t an g e n t f (x) = x^{3} + x, at x = 0

f^'(s)=10s-12s^3,f(3)=2

f^{^{'}} (s) = 10 s - 12 s^{3}, f (3) = 2

sum from n=0 to infinity of x^{2n}

n = 0 \sum \infty x^{2 n}

勾配 y=x^2+1,(2,5)

s l o p e y = x^{2} + 1, (2, 5)

\frac{d}{d t} (e^{7 t})