What is the integral from 1 to 5 of x^2 ?

The integral from 1 to 5 of x^2 is 124/3

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integral from 1 to 5 of x^2

\int_{1}^{5} x^{2} d x

\frac{124}{3}

Decimal

41.33333 \dots

Solution steps

\int_{1}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{5}

= [\frac{x ^{3}}{3}]_{1}^{5}

Compute the boundaries:

\frac{124}{3}

= \frac{124}{3}

\frac{d ^{2} y}{d x ^{2}} + y = 1 + x

\int (4 x^{3} - 9 x^{2} + 7 x) e^{- x} d x

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

(x + y)^{2} d x + (2 x y + x^{2} - 2) d y = 0, y (1) = 1

f (x) = (x + 5)^{\frac{2}{3}} (2 x^{2} - 1)^{3}

What is the integral from 1 to 5 of x^2 ?
The integral from 1 to 5 of x^2 is 124/3