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Popular >

integral of 0.75x^2

Solution

\int 0.75 x^{2} d x

Solution

0.25 x^{3} + C

Solution steps

\int 0.75 x^{2} d x

Take the constant out:

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

= 0.75 \cdot \int x^{2} d x

Apply the Power Rule

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

= 0.75 \cdot \frac{x ^{3}}{3}

Simplify

0.75 \cdot \frac{x ^{3}}{3} : 0.25 x^{3}

= 0.25 x^{3}

Add a constant to the solution

= 0.25 x^{3} + C

Popular Examples

integral of (6x^2+5)

\int (6 x^{2} + 5) d x

integral of (1+3x+7x^2-2x^3)/(x^2)

\int \frac{1 + 3 x + 7 x ^{2} - 2 x ^{3}}{x ^{2}} d x

integral of 0.75(1-x^2)

\int 0.75 (1 - x^{2}) d x

integral of ln^x(x

\int ln^{x} (d) x d x

integral of 21xe^{-11x^2}

\int 21 x e^{- 11 x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 0.75x^2 ?
The integral of 0.75x^2 is 0.25x^3+C