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Popular >

integral of 6x+3

Solution

\int 6 x + 3 d x

Solution

3 x^{2} + 3 x + C

Solution steps

\int 6 x + 3 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 3 d x

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

\int 3 d x = 3 x

= 3 x^{2} + 3 x

Add a constant to the solution

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

Popular Examples

integral of 1-x

\int 1 - x d x

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(x - 1)^{4}

integral of sec^4(xta)n^5x

\int sec^{4} (x t a) n^{5} x d x

sum from n=1 to infinity of 4/(n(n+7))

n = 1 \sum \infty \frac{4}{n ( n + 7 )}

sum from n=2 to infinity of n/(n+2)

n = 2 \sum \infty \frac{n}{n + 2}

Frequently Asked Questions (FAQ)

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