What is the integral from 0 to 1 of cx^2 ?

The integral from 0 to 1 of cx^2 is c/3

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integral from 0 to 1 of cx^2

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

\frac{c}{3}

Solution steps

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

Take the constant out:

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

= c \cdot \int_{0}^{1} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{1}

= c [\frac{x ^{3}}{3}]_{0}^{1}

Compute the boundaries:

\frac{1}{3}

= c \frac{1}{3}

Simplify

= \frac{c}{3}

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

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

\int_{t}^{3 t} (\frac{sin ( x )}{x}) d x

\int_{- 2}^{1} x^{3} d x

\int_{π}^{2 π} e^{- s t} d t

What is the integral from 0 to 1 of cx^2 ?
The integral from 0 to 1 of cx^2 is c/3