What is the integral of (1/(5x^{3.3)}) ?

The integral of (1/(5x^{3.3)}) is -(0.08695…)/(x^{2.3)}+C

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integral of (1/(5x^{3.3)})

\int (\frac{1}{5 x ^{3.3}}) d x

- \frac{0.08695 \dots}{x ^{2.3}} + C

Solution steps

\int \frac{1}{5 x ^{3.3}} d x

Take the constant out:

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

= \frac{1}{5} \cdot \int \frac{1}{x ^{3.3}} d x

Apply the Power Rule

: - \frac{0.43478 \dots}{x ^{2.3}}

= \frac{1}{5} (- \frac{0.43478 \dots}{x ^{2.3}})

Simplify

\frac{1}{5} (- \frac{0.43478 \dots}{x ^{2.3}}) : - \frac{0.08695 \dots}{x ^{2.3}}

= - \frac{0.08695 \dots}{x ^{2.3}}

Add a constant to the solution

= - \frac{0.08695 \dots}{x ^{2.3}} + C

\int \frac{12}{( 36 x ^{2} + 1 ) ^{2}} d x

ln (3 x^{2})

h (x) = 3 e^{x} - 7 x, (0, 3)

\frac{d}{d x} (e^{t a n (3 x)})

(9, 2), (- 2, 6)

What is the integral of (1/(5x^{3.3)}) ?
The integral of (1/(5x^{3.3)}) is -(0.08695…)/(x^{2.3)}+C