What is the integral from 3 to 4 of (x^3-pix^2) ?

The integral from 3 to 4 of (x^3-pix^2) is 175/4-(37pi)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\int_{3}^{4} (x^{3} - π x^{2}) d x

\frac{175}{4} - \frac{37 π}{3}

Decimal Notation

5.00369 \dots

Solution steps

\int_{3}^{4} x^{3} - π 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_{3}^{4} x^{3} d x - \int_{3}^{4} π x^{2} d x

\int_{3}^{4} x^{3} d x = \frac{175}{4}

\int_{3}^{4} π x^{2} d x = \frac{37 π}{3}

= \frac{175}{4} - \frac{37 π}{3}

\frac{d}{d x} (\frac{- 7 x}{2 x - 1})

\frac{\partial}{\partial x} (9 x + 16 ∣ y ∣)

\int \frac{1}{( x ( ( 4 x ^{2} - 9 ) ) )} d x

x \to 5 lim (2 x - 7)

\int \frac{1}{π} x cos (n x) d x

What is the integral from 3 to 4 of (x^3-pix^2) ?
The integral from 3 to 4 of (x^3-pix^2) is 175/4-(37pi)/3