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Popular >

integral from 0 to 4 of x^2+4

Solution

\int_{0}^{4} x^{2} + 4 d x

Solution

\frac{112}{3}

+1

Decimal Notation

37.33333 \dots

Solution steps

\int_{0}^{4} x^{2} + 4 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}^{4} x^{2} d x + \int_{0}^{4} 4 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 4 d x = 16

= \frac{64}{3} + 16

Simplify

\frac{64}{3} + 16 : \frac{112}{3}

= \frac{112}{3}

Popular Examples

integral from 0.4 to 1 of 6y(1-y)

\int_{0.4}^{1} 6 y (1 - y) d y

integral from 0 to t of sin(u)sin(t-u)

\int_{0}^{t} sin (u) sin (t - u) d u

integral from 6 to 100 of 2x^{-3}

\int_{6}^{100} 2 x^{- 3} d x

integral from 1 to e of 4t^3ln(t)

\int_{1}^{e} 4 t^{3} ln (t) d t

integral from 1 to 4 of (e^x)/(2x)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2+4 ?
The integral from 0 to 4 of x^2+4 is 112/3