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Popular >

integral of x^2+2x-4

Solution

\int x^{2} + 2 x - 4 d x

Solution

\frac{x ^{3}}{3} + x^{2} - 4 x + C

Solution steps

\int x^{2} + 2 x - 4 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 x^{2} d x + \int 2 x d x - \int 4 d x

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

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

\int 4 d x = 4 x

= \frac{x ^{3}}{3} + x^{2} - 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} + x^{2} - 4 x + C

Popular Examples

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\int tan (8 x) sin (8 x) cot (8 x) d x

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\frac{\partial}{\partial y} (2 x^{3} - 11 x^{2} y + 3 y^{2})

(\partial)/(\partial x)(x-y+xy)

\frac{\partial}{\partial x} (x - y + x y)

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\frac{d}{d x} (\frac{6 x - 1}{3 x ^{2} - x})

integral of (5x^4)/(x^5+8)

\int \frac{5 x ^{4}}{x ^{5} + 8} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2+2x-4 ?
The integral of x^2+2x-4 is (x^3)/3+x^2-4x+C