What is the integral of ((Inx)^5)/x ?

The integral of ((Inx)^5)/x is (I^5n^5x^5)/5+C

Popular >

integral of ((Inx)^5)/x

\int \frac{( I n x ) ^{5}}{x} d x

\frac{I ^{5} n ^{5} x ^{5}}{5} + C

Solution steps

\int \frac{( I n x ) ^{5}}{x} d x

Simplify

\frac{( I n x ) ^{5}}{x} : I^{5} n^{5} x^{4}

= \int I^{5} n^{5} x^{4} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= I^{5} n^{5} \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= I^{5} n^{5} \frac{x ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{I ^{5} n ^{5} x ^{5}}{5}

Add a constant to the solution

= \frac{I ^{5} n ^{5} x ^{5}}{5} + C

\int \frac{( x + 5 )}{( x ^{2} - 6 x + 13 )} d x

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

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

\frac{1}{x ^{2} + 4}

\int (2 cos (2 x) - 3 sin (3 x)) d x

What is the integral of ((Inx)^5)/x ?
The integral of ((Inx)^5)/x is (I^5n^5x^5)/5+C