en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 5 of 75-3x^2

Solution

\int_{0}^{5} 75 - 3 x^{2} d x

Solution

250

Solution steps

\int_{0}^{5} 75 - 3 x^{2} d x

Apply the Sum Rule:

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

= \int_{0}^{5} 75 d x - \int_{0}^{5} 3 x^{2} d x

\int_{0}^{5} 75 d x = 375

\int_{0}^{5} 3 x^{2} d x = 125

= 375 - 125

Simplify

= 250

Graph

Popular Examples

integral from 1 to 10 of x^2*2/81 (x-1)

\int_{1}^{10} x^{2} \cdot \frac{2}{81} (x - 1) d x

integral from 0 to-2 of 3

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

integral from 0 to 4 of (2-sqrt(x))

\int_{0}^{4} (2 - x) d x

integral from e to e^2 of 1/(x(ln(x^2)))

\int_{e}^{e^{2}} \frac{1}{x ( ln ( x ^{2} ) )} d x

integral from 0 to 2 of 11x^2

\int_{0}^{2} 11 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 75-3x^2 ?
The integral from 0 to 5 of 75-3x^2 is 250