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Popular >

integral of (2x+1)

Solution

\int (2 x + 1) d x

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

Graph

Popular Examples

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

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

y^{'''}+18y^{''}+81y^'=0

y^{^{'''}} + 18 y^{^{''}} + 81 y^{^{'}} = 0

slope of (5,-1),(-5,5)slope

(5, - 1), (- 5, 5)

derivative of \sqrt[3]{x^3-3x+c}

\frac{d}{d x} (3 x^{3} - 3 x + c)

(dy)/(dx)-7=\sqrt[3]{y-7x+9}

\frac{d y}{d x} - 7 = 3 y - 7 x + 9

Frequently Asked Questions (FAQ)

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