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Popular >

integral of 1 (2x)

Solution

\int \frac{d}{1} (2 x) d x

Solution

d x^{2} + C

Solution steps

\int \frac{d}{1} \cdot 2 x d x

Take the constant out:

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

= d \cdot 2 \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= d x^{2}

Add a constant to the solution

= d x^{2} + C

Graph

Popular Examples

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

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

integral of ysqrt(x^2-y^2)

\int y x^{2} - y^{2} d y

integral of (sin(x))/(sqrt(5-cos(x)))

\int \frac{sin ( x )}{5 - cos ( x )} d x

integral of (11x-7)/(2x^2-3x-2)

\int \frac{11 x - 7}{2 x ^{2} - 3 x - 2} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 1 (2x) ?
The integral of 1 (2x) is dx^2+C