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Popular >

integral of 2x-3x^2

Solution

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

Solution

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

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int 3 x^{2} d x = x^{3}

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

Add a constant to the solution

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

Popular Examples

d/(dt)(cos(7t))

\frac{d}{d t} (cos (7 t))

integral of (2x^2+4)/((x^2-2x+2)^2)

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

(\partial)/(\partial x)(x^4-yx^2+2y^3)

\frac{\partial}{\partial x} (x^{4} - y x^{2} + 2 y^{3})

\frac{d y}{d x} = 3 y + 4

integral of cos^4(7x+2)

\int cos^{4} (7 x + 2) d x

Frequently Asked Questions (FAQ)

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