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Popular >

integral from 0 to 4 of (x^2-5)

Solution

\int_{0}^{4} (x^{2} - 5) d x

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

\int_{0}^{4} x^{2} - 5 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} 5 d x

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

\int_{0}^{4} 5 d x = 20

= \frac{64}{3} - 20

Simplify

\frac{64}{3} - 20 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from 0 to 1 of (2x)/3

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

integral from-2 to 20 of |x-10|

\int_{- 2}^{20} ∣ x - 10 ∣ d x

integral from 0 to 3 of 1/((x-3)^2)

\int_{0}^{3} \frac{1}{( x - 3 ) ^{2}} d x

integral from 0 to 1 of x^4x^3

\int_{0}^{1} x^{4} x^{3} d x

integral from 3 to infinity of te^{-st}

\int_{3}^{\infty} t e^{- s t} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (x^2-5) ?
The integral from 0 to 4 of (x^2-5) is 4/3