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 1 of (1+2x^2)

Solution

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

Solution

\frac{5}{3}

+1

Decimal

1.66666 \dots

Solution steps

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

\int_{0}^{1} 1 d x = 1

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

= 1 + \frac{2}{3}

Simplify

1 + \frac{2}{3} : \frac{5}{3}

= \frac{5}{3}

Graph

Popular Examples

integral from 0 to 1 of x/(1+x^3)

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

integral from-pi/2 to pi/2 of (cos(x)-2)

\int_{- \frac{π}{2}}^{\frac{π}{2}} (cos (x) - 2) d x

integral from 1 to 4 of (sqrt(x-1))/x

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

integral from 2 to 5 of 2^{4x}

\int_{2}^{5} 2^{4 x} d x

integral from-1 to 8 of 1/(x^3)

\int_{- 1}^{8} \frac{1}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1+2x^2) ?
The integral from 0 to 1 of (1+2x^2) is 5/3