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Popular >

integral of 6x+4

Solution

\int 6 x + 4 d x

Solution

3 x^{2} + 4 x + C

Solution steps

\int 6 x + 4 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 6 x d x + \int 4 d x

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

\int 4 d x = 4 x

= 3 x^{2} + 4 x

Add a constant to the solution

= 3 x^{2} + 4 x + C

Popular Examples

integral of (e^{2x})/(e^{2x)+1}

\int \frac{e ^{2 x}}{e ^{2 x} + 1} d x

derivative of (2x^2-13x+20/((x-1)^2))

\frac{d}{d x} (\frac{2 x ^{2} - 13 x + 20}{( x - 1 ) ^{2}})

integral of x^3sqrt(x^2+42)

\int x^{3} x^{2} + 42 d x

limit as x approaches 1 of (x^2+x)/(x-1)

x \to 1 lim (\frac{x ^{2} + x}{x - 1})

6t(dy)/(dt)+y=t^5

6 t \frac{d y}{d t} + y = t^{5}

Frequently Asked Questions (FAQ)

What is the integral of 6x+4 ?
The integral of 6x+4 is 3x^2+4x+C