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Popular >

integral of (6x+1)

Solution

\int (6 x + 1) d x

Solution

3 x^{2} + x + C

Solution steps

\int 6 x + 1 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 1 d x

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

\int 1 d x = x

= 3 x^{2} + x

Add a constant to the solution

= 3 x^{2} + x + C

Popular Examples

y = ln (ln (2 x))

integral from 0 to pi/2 of 8sin^2(3x)

\int_{0}^{\frac{π}{2}} 8 sin^{2} (3 x) d x

integral of x(x^2+1)sqrt(4-2x^2-x^4)

\int x (x^{2} + 1) 4 - 2 x^{2} - x^{4} d x

integral of sqrt(16+25x^2)

\int 16 + 25 x^{2} d x

limit as x approaches 2 of (x-3)/(x-2)

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

Frequently Asked Questions (FAQ)

What is the integral of (6x+1) ?
The integral of (6x+1) is 3x^2+x+C