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Popular >

integral of x^2+3

Solution

\int x^{2} + 3 d x

Solution

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

Solution steps

\int x^{2} + 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 x^{2} d x + \int 3 d x

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral from 0 to 1 of 2/3 x^2(x+1)

\int_{0}^{1} \frac{2}{3} x^{2} (x + 1) d x

derivative of (tan(x)-20)/(sec(x))derivative of

\frac{tan ( x ) - 20}{sec ( x )}

integral of 4(tan^2(x)+tan^4(x))

\int 4 (tan^{2} (x) + tan^{4} (x)) d x

y^{''}-6y^'+5y=0

y^{^{''}} - 6 y^{^{'}} + 5 y = 0

(\partial)/(\partial x)(5-x^2+xy-3y^2)

\frac{\partial}{\partial x} (5 - x^{2} + x y - 3 y^{2})

Frequently Asked Questions (FAQ)

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