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Popular >

integral of 3x^2+8x

Solution

\int 3 x^{2} + 8 x d x

Solution

x^{3} + 4 x^{2} + C

Solution steps

\int 3 x^{2} + 8 x 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 3 x^{2} d x + \int 8 x d x

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

\int 8 x d x = 4 x^{2}

= x^{3} + 4 x^{2}

Add a constant to the solution

= x^{3} + 4 x^{2} + C

Popular Examples

(\partial)/(\partial x)(6xy^2)

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(\partial)/(\partial x)(sin(2y-5x))

\frac{\partial}{\partial x} (sin (2 y - 5 x))

limit as x approaches 2 of 2x^2-7x+5

x \to 2 lim (2 x^{2} - 7 x + 5)

integral from 0 to 1/3 of xarcsin(3x)

\int_{0}^{\frac{1}{3}} x arcsin (3 x) d x

derivative of (e^x)/(9x^2)derivative of

\frac{e ^{x}}{9 x ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 3x^2+8x ?
The integral of 3x^2+8x is x^3+4x^2+C