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Popular >

integral of 6x

Solution

\int 6 x d 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

derivative of y=(x^2+9)/((7x-1)^5)derivative of

y = \frac{x ^{2} + 9}{( 7 x - 1 ) ^{5}}

derivative of (x^2)/((6+x)^5)derivative of

\frac{x ^{2}}{( 6 + x ) ^{5}}

sum from n=1 to infinity of (2n)/(5n-6)

n = 1 \sum \infty \frac{2 n}{5 n - 6}

derivative of (8x^2+9x)e^{-7x}derivative of

(8 x^{2} + 9 x) e^{- 7 x}

(dy)/(dx)=x^3(1-y),y(0)=3

\frac{d y}{d x} = x^{3} (1 - y), y (0) = 3

Frequently Asked Questions (FAQ)

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