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Popular >

integral of 2+x^2

Solution

\int 2 + x^{2} d x

Solution

2 x + \frac{x ^{3}}{3} + C

Solution steps

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

\int 2 d x = 2 x

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

= 2 x + \frac{x ^{3}}{3}

Add a constant to the solution

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

Graph

Popular Examples

derivative of y/(3x)

\frac{d}{d x} (\frac{y}{3 x})

(dy)/(dx)=-2y,y(0)=3

\frac{d y}{d x} = - 2 y, y (0) = 3

derivative of (3x^2+ln(x)*(5x^3)^x)

\frac{d}{d x} ((3 x^{2} + ln (x)) \cdot (5 x^{3})^{x})

integral of 7sin^5(x)cos(x)

\int 7 sin^{5} (x) cos (x) d x

limit as x approaches infinity of (3x-2)/(6x+1)

x \to \infty lim (\frac{3 x - 2}{6 x + 1})

Frequently Asked Questions (FAQ)

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