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Popular Calculus >

integral of (x^3+5)

Solution

\int (x^{3} + 5) d x

Solution

\frac{x ^{4}}{4} + 5 x + C

Solution steps

\int x^{3} + 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{4}}{4} + 5 x

Add a constant to the solution

= \frac{x ^{4}}{4} + 5 x + C

Graph

Popular Examples

integral of e^{t/5}

limit as x approaches 2-of (x^2)/(x-2)

sum from n=1 to infinity of n^3(1+n^4)

derivative of f(x)=x*e^{2x-4},x=2

derivative of y= 4/(7x^2)

Frequently Asked Questions (FAQ)

What is the integral of (x^3+5) ?
The integral of (x^3+5) is (x^4)/4+5x+C