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Popular >

integral of (x^3+2)

Solution

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

Solution

\frac{x ^{4}}{4} + 2 x + C

Solution steps

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

\int x^{3} d x = \frac{x ^{4}}{4}

\int 2 d x = 2 x

= \frac{x ^{4}}{4} + 2 x

Add a constant to the solution

= \frac{x ^{4}}{4} + 2 x + C

Popular Examples

integral of-(sin^2(x))/(cos(x))

\int - \frac{sin ^{2} ( x )}{cos ( x )} d x

derivative of (x^2+3/(x^2-1))

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

derivative of (sin(4t))/(cos(6t))derivative of

\frac{sin ( 4 t )}{cos ( 6 t )}

derivative of y=sqrt(x)^{3x}derivative of

y = x^{3 x}

y^{''}+y=sec(t)

y^{^{''}} + y = sec (t)

Frequently Asked Questions (FAQ)

What is the integral of (x^3+2) ?
The integral of (x^3+2) is (x^4)/4+2x+C