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Popular >

integral of 8x+2

Solution

\int 8 x + 2 d x

Solution

4 x^{2} + 2 x + C

Solution steps

\int 8 x + 2 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 8 x d x + \int 2 d x

\int 8 x d x = 4 x^{2}

\int 2 d x = 2 x

= 4 x^{2} + 2 x

Add a constant to the solution

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

Popular Examples

sum from n=1 to infinity of n^7(1+n^8)^2

n = 1 \sum \infty n^{7} (1 + n^{8})^{2}

derivative of (tan(x)/(1+tan(x)))

\frac{d}{d x} (\frac{tan ( x )}{1 + tan ( x )})

derivative of (e^{3x}cos(2x))

\frac{d}{d x} ((e^{3 x}) cos (2 x))

integral of 3/(5x)

\int \frac{3}{5 x} d x

area 2x,x^2+3x-6 area

2 x, x^{2} + 3 x - 6

Frequently Asked Questions (FAQ)

What is the integral of 8x+2 ?
The integral of 8x+2 is 4x^2+2x+C