What is the integral of (5x^2+7x+11) ?

The integral of (5x^2+7x+11) is (5x^3)/3+(7x^2)/2+11x+C

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integral of (5x^2+7x+11)

\int (5 x^{2} + 7 x + 11) d x

\frac{5 x ^{3}}{3} + \frac{7 x ^{2}}{2} + 11 x + C

Solution steps

\int 5 x^{2} + 7 x + 11 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 5 x^{2} d x + \int 7 x d x + \int 11 d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 11 d x = 11 x

= \frac{5 x ^{3}}{3} + \frac{7 x ^{2}}{2} + 11 x

Add a constant to the solution

= \frac{5 x ^{3}}{3} + \frac{7 x ^{2}}{2} + 11 x + C

\int_{0}^{\frac{1}{2}} x cos (π x) d x

\frac{\partial}{\partial x} (cos^{6} (x^{9} y^{8}))

\frac{\partial}{\partial x} (ln (x^{4} + y^{9}))

\frac{\partial}{\partial x} (x \cdot e^{- y})

\frac{d y}{d x} = 1

What is the integral of (5x^2+7x+11) ?
The integral of (5x^2+7x+11) is (5x^3)/3+(7x^2)/2+11x+C