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Popular >

integral of 3x^2+4x

Solution

\int 3 x^{2} + 4 x d x

Solution

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

Solution steps

\int 3 x^{2} + 4 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 4 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

f (x) = d e x

integral from 0 to 1 of 4(x^2+1)e^{-x}

\int_{0}^{1} 4 (x^{2} + 1) e^{- x} d x

limit as t approaches 0 of (e^t-t-1)/t

t \to 0 lim (\frac{e ^{t} - t - 1}{t})

integral from 0 to 2 of pi(e^{-x^2})^2

\int_{0}^{2} π (e^{- x^{2}})^{2} d x

derivative of f(x)=x^{-1/4}derivative of

f (x) = x^{- \frac{1}{4}}

Frequently Asked Questions (FAQ)

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