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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

Graph

Popular Examples

integral of z/(x-3)

\int \frac{z}{x - 3} d x

integral of x^2+5x

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

(\partial)/(\partial x)(5x^4+x^3y+xy+y^4)

\frac{\partial}{\partial x} (5 x^{4} + x^{3} y + x y + y^{4})

(\partial)/(\partial y)(4xy^2)

\frac{\partial}{\partial y} (4 x y^{2})

limit as x approaches infinity of 2/x

x \to \infty lim (\frac{2}{x})

Frequently Asked Questions (FAQ)

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