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Popular >

integral of 0.2x^2

Solution

\int 0.2 x^{2} d x

Solution

0.06666 \dots x^{3} + C

Solution steps

\int 0.2 x^{2} d x

Take the constant out:

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

= 0.2 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 0.2 \cdot \frac{x ^{3}}{3}

Simplify

0.2 \cdot \frac{x ^{3}}{3} : 0.06666 \dots x^{3}

= 0.06666 \dots x^{3}

Add a constant to the solution

= 0.06666 \dots x^{3} + C

Popular Examples

integral from 0 to 2 of ln(x)

\int_{0}^{2} ln (x) d x

integral from 0 to pi/2 of cos^8(x)

\int_{0}^{\frac{π}{2}} cos^{8} (x) d x

derivative of f(t)=t^3-9t^2+24t derivative of

f (t) = t^{3} - 9 t^{2} + 24 t

integral of x/((x^3-1))

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

y^{''}+16y=3sin(8t),y(0)=0,y^'(0)=0

y^{^{''}} + 16 y = 3 sin (8 t), y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the integral of 0.2x^2 ?
The integral of 0.2x^2 is 0.06666…x^3+C