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Popular >

integral of 4x

Solution

\int 4 x d x

Solution

2 x^{2} + C

Solution steps

\int 4 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 4 \cdot \frac{x ^{2}}{2}

Simplify

4 \cdot \frac{x ^{2}}{2} : 2 x^{2}

= 2 x^{2}

Add a constant to the solution

= 2 x^{2} + C

Popular Examples

y^{''}-4y=4e^{2x}

y^{^{''}} - 4 y = 4 e^{2 x}

integral of e^{-x/(1000)}

\int e^{- \frac{x}{1000}} d x

derivative of e^{3ln(x})

\frac{d}{d x} (e^{3 l n (x)})

integral from 3 to 1 of (-5x+9)

\int_{3}^{1} (- 5 x + 9) d x

integral of 1/((x^2+5)^{3/2)}

\int \frac{1}{( x ^{2} + 5 ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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