What is the integral from 3/2 to 2 of 3/8 x^2 ?

The integral from 3/2 to 2 of 3/8 x^2 is 37/64

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3/2 to 2 of 3/8 x^2

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

\frac{37}{64}

Decimal Notation

0.578125

Solution steps

\int_{\frac{3}{2}}^{2} \frac{3}{8} x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{3}{8} \cdot \int_{\frac{3}{2}}^{2} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{\frac{3}{2}}^{2}

= \frac{3}{8} [\frac{x ^{3}}{3}]_{\frac{3}{2}}^{2}

Compute the boundaries:

\frac{37}{24}

= \frac{3}{8} \cdot \frac{37}{24}

Simplify

= \frac{37}{64}

\int_{- 1}^{2} x e^{- x^{2}} d x

\int_{0}^{3} (2 x + 4 x^{2} + 16 x^{3}) d x

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

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

\int_{1}^{x} (2 x y + 3 y^{2}) d y

What is the integral from 3/2 to 2 of 3/8 x^2 ?
The integral from 3/2 to 2 of 3/8 x^2 is 37/64