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Popular >

integral of x+2x

Solution

\int x + 2 x d x

Solution

\frac{x ^{2}}{2} + x^{2} + C

Solution steps

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

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

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

= \frac{x ^{2}}{2} + x^{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + x^{2} + C

Graph

Popular Examples

integral of x^{11}ln(4x^6)

\int x^{11} ln (4 x^{6}) d x

integral of cos(2x)-(1-4/pi x)

\int cos (2 x) - (1 - \frac{4}{π} x) d x

integral of (5x+12)/(x^2+4x+5)

\int \frac{5 x + 12}{x ^{2} + 4 x + 5} d x

integral of 7xe^{6x^2}

\int 7 x e^{6 x^{2}} d x

integral of (6+2x)

\int (6 + 2 x) d x

Frequently Asked Questions (FAQ)

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