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Popular >

integral of 6x

Solution

integral

6 x

Solution

3 x^{2} + C

Solution steps

\int 6 x d x

Take the constant out:

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

= 6 \cdot \int x d x

Apply the Power Rule

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

= 6 \cdot \frac{x ^{2}}{2}

Simplify

6 \cdot \frac{x ^{2}}{2} : 3 x^{2}

= 3 x^{2}

Add a constant to the solution

= 3 x^{2} + C

Popular Examples

integral of (2-3x)^{10}

\int (2 - 3 x)^{10} d x

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\int \frac{tan ^{2} ( 2 x )}{sec ( 2 x )} d x

integral of (7x^3+5x^2+9/(x^2)+2/(a^2))

\int (7 x^{3} + 5 x^{2} + \frac{9}{x ^{2}} + \frac{2}{a ^{2}}) d x

integral of 2cos^2(x)-1

\int 2 cos^{2} (x) - 1 d x

integral of ((1+x^2))/x

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

Frequently Asked Questions (FAQ)

What is the integral of 6x ?
The integral of 6x is 3x^2+C