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Popular >

integral of-3/2 x^2

Solution

\int - \frac{3}{2} x^{2} d x

Solution

- \frac{x ^{3}}{2} + C

Solution steps

\int - \frac{3}{2} x^{2} d x

Take the constant out:

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

= - \frac{3}{2} \cdot \int x^{2} d x

Apply the Power Rule

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

= - \frac{3}{2} \cdot \frac{x ^{3}}{3}

Simplify

- \frac{3}{2} \cdot \frac{x ^{3}}{3} : - \frac{x ^{3}}{2}

= - \frac{x ^{3}}{2}

Add a constant to the solution

= - \frac{x ^{3}}{2} + C

Popular Examples

integral of (tan(x/(18)))^5

\int (tan (\frac{x}{18}))^{5} d x

derivative of (4x/((1-x^2)^2))

\frac{d}{d x} (\frac{4 x}{( 1 - x ^{2} ) ^{2}})

tangent of f(x)=x^2+3x+2,\at x=1 tangent of

f (x) = x^{2} + 3 x + 2, at x = 1

laplacetransform e^{-2t}cos(2t)laplace transform

e^{- 2 t} cos (2 t)

derivative of f(x)=7x^3 derivative of

f (x) = 7 x^{3}

Frequently Asked Questions (FAQ)

What is the integral of-3/2 x^2 ?
The integral of-3/2 x^2 is -(x^3)/2+C