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Popular >

integral of 2x+1

Solution

integral

2 x + 1

Solution

x^{2} + x + C

Solution steps

\int 2 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 2 x d x + \int 1 d x

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

\int 1 d x = x

= x^{2} + x

Add a constant to the solution

= x^{2} + x + C

Popular Examples

integral of 4xe^{3x^2-7}

\int 4 x e^{3 x^{2} - 7} d x

integral of x/(16+x^2)

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

integral of 2/(9+4x^2)

\int \frac{2}{9 + 4 x ^{2}} d x

integral of 1/(9x-1)

\int \frac{1}{9 x - 1} d x

integral of (x-2)/(sqrt(1-x^2))

\int \frac{x - 2}{1 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2x+1 ?
The integral of 2x+1 is x^2+x+C