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Popular >

integral of (x^5+5)

Solution

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

Solution

\frac{x ^{6}}{6} + 5 x + C

Solution steps

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

\int x^{5} d x = \frac{x ^{6}}{6}

\int 5 d x = 5 x

= \frac{x ^{6}}{6} + 5 x

Add a constant to the solution

= \frac{x ^{6}}{6} + 5 x + C

Popular Examples

integral of csc^2(x/7)

\int csc^{2} (\frac{x}{7}) d x

integral of e^{10x}sin(x)

\int e^{10 x} sin (x) d x

integral of (ye^{xy}-1/y)

\int (y e^{x y} - \frac{1}{y}) d x

integral of-2tan(2x)sec(2x)

\int - 2 tan (2 x) sec (2 x) d x

integral of (sqrt(1-x))/(sqrt(2-x))

\int \frac{1 - x}{2 - x} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^5+5) ?
The integral of (x^5+5) is (x^6)/6+5x+C