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Popular >

integral of x^2+6x+2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(sqrt(\sqrt{x+1)+1})

\frac{\partial}{\partial x} (x + 1 + 1)

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

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

derivative of (2x^2-1)^{-1}derivative of

(2 x^{2} - 1)^{- 1}

integral from-2 to 2 of sqrt(1+100x^2)

\int_{- 2}^{2} 1 + 100 x^{2} d x

f (x) = - cot (x)

Frequently Asked Questions (FAQ)

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