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Popular Calculus >

integral of (14x+6x)

Solution

\int (14 x + 6 x) d x

Solution

10 x^{2} + C

Solution steps

\int 14 x + 6 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 14 x d x + \int 6 x d x

\int 14 x d x = 7 x^{2}

\int 6 x d x = 3 x^{2}

= 7 x^{2} + 3 x^{2}

Simplify

= 10 x^{2}

Add a constant to the solution

= 10 x^{2} + C

Graph

Popular Examples

y^'+y=yxe^{x+2}

y^{^{'}} + y = y x e^{x + 2}

integral of x/(\sqrt[3]{x+4)}

\int \frac{x}{3 x + 4} d x

limit as x approaches 3 of 1/((x-3)^8)

x \to 3 lim (\frac{1}{( x - 3 ) ^{8}})

limit as x approaches-3 of (x^2-9)/(3+x)

x \to - 3 lim (\frac{x ^{2} - 9}{3 + x})

derivative of 2/(3x^{1/3})

\frac{d}{d x} (\frac{2}{3 x ^{\frac{1}{3}}})

Frequently Asked Questions (FAQ)

What is the integral of (14x+6x) ?
The integral of (14x+6x) is 10x^2+C