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Popular >

integral of x^2+6x+3

Solution

\int x^{2} + 6 x + 3 d x

Solution

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

Solution steps

\int x^{2} + 6 x + 3 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 6 x d x + \int 3 d x

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

\int 6 x d x = 3 x^{2}

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

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

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\frac{d y}{d x} = \frac{( x ^{2} )}{y ^{2}}

(\partial)/(\partial z)(z^2)

\frac{\partial}{\partial z} (z^{2})

y^'+(1/t)y=3cos(2t)

y^{^{'}} + (\frac{1}{t}) y = 3 cos (2 t)

derivative of log_{5}(3x^2-7x)

\frac{d}{d x} (lo g_{5} (3 x^{2} - 7 x))

Frequently Asked Questions (FAQ)

What is the integral of x^2+6x+3 ?
The integral of x^2+6x+3 is (x^3)/3+3x^2+3x+C