ko

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

인기 있는 >

integral from 1 to 3 of (3x+1)

해법

\int_{1}^{3} (3 x + 1) d x

해법

14

솔루션 단계

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

합계 규칙 적용:

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

= \int_{1}^{3} 3 x d x + \int_{1}^{3} 1 d x

\int_{1}^{3} 3 x d x = 12

\int_{1}^{3} 1 d x = 2

= 12 + 2

단순화

= 14

인기 있는 예

integral from 0 to 4 of (2t^2+t^{3/2})

\int_{0}^{4} (2 t^{2} + t^{\frac{3}{2}}) d t

integral from 0 to 1 of 1+6x^{3/2}

\int_{0}^{1} 1 + 6 x^{\frac{3}{2}} d x

integral from 0 to 25 of 2sqrt(x)

\int_{0}^{25} 2 x d x

integral from 0 to 2 of ((x^2-2)/(x+1))

\int_{0}^{2} (\frac{x ^{2} - 2}{x + 1}) d x

integral from 1 to 4 of x^{-1/2}

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