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Popular >

integral of 2ax

Solution

\int 2 a x d x

Solution

a x^{2} + C

Solution steps

\int 2 a x d x

Take the constant out:

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

= 2 a \cdot \int x d x

Apply the Power Rule

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

= 2 a \frac{x ^{2}}{2}

Simplify

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

= a x^{2}

Add a constant to the solution

= a x^{2} + C

Popular Examples

limit as x approaches 0 of (x+1)^{1/x}

x \to 0 lim ((x + 1)^{\frac{1}{x}})

x^3y^{'''}-x^2y^{''}+2xy^'-2y=0

x^{3} y^{^{'''}} - x^{2} y^{^{''}} + 2 x y^{^{'}} - 2 y = 0

limit as x approaches-infinity of e^{3x}(2-x)

x \to - \infty lim (e^{3 x} (2 - x))

integral of (xsqrt(x)+sqrt(x))/(x^2)

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

integral of (3/x+5/(x^2))

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

Frequently Asked Questions (FAQ)

What is the integral of 2ax ?
The integral of 2ax is ax^2+C