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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

derivative of (x^4+1)^5 derivative of

(x^{4} + 1)^{5}

derivative of 5/((2x^3)+2cos(x))

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

derivative of y=x^2sqrt(3x+5)derivative of

y = x^{2} 3 x + 5

derivative of (5/3 x^2)

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

integral of (4x)^2

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

Frequently Asked Questions (FAQ)

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