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Popular >

integral of (x+6)

Solution

\int (x + 6) d x

Solution

\frac{x ^{2}}{2} + 6 x + C

Solution steps

\int x + 6 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 x d x + \int 6 d x

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

\int 6 d x = 6 x

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

Add a constant to the solution

= \frac{x ^{2}}{2} + 6 x + C

Popular Examples

tangent of (x+2)^2+(y-3)^2=37,(-3,9)tangent of

(x + 2)^{2} + (y - 3)^{2} = 37, (- 3, 9)

derivative of y=sqrt(x^2+9)derivative of

y = x^{2} + 9

y^'+y/t =e^{t^2}

y^{^{'}} + \frac{y}{t} = e^{t^{2}}

(d^2y)/(dx^2)-2(dy)/(dx)+y=(e^x)/(1+x^2)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = \frac{e ^{x}}{1 + x ^{2}}

limit as n approaches infinity of {(1+2/n)^{4n}}

n \to \infty lim ({(1 + \frac{2}{n})^{4 n}})

Frequently Asked Questions (FAQ)

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