Solve \int 2x^3-3x 1/x-5 dx

Evaluate

\int (2 x^{3} - 3 x \times \frac{1}{x} - 5) d x

Multiply the terms

More Steps

\int (2 x^{3} - 3 - 5) d x

Subtract the numbers

\int (2 x^{3} - 8) d x

Rewrite the expression

\int 2 (x^{3} - 4) d x

Use the property of integral \int k f (x) d x = k \int f (x) d x

2 \times \int (x^{3} - 4) d x

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

2 (\int x^{3} d x + \int - 4 d x)

Calculate

2 \times \int x^{3} d x + 2 \times \int - 4 d x

Evaluate the integral

More Steps

\frac{x ^{4}}{2} + 2 \times \int - 4 d x

Evaluate the integral

More Steps

\frac{x ^{4}}{2} - 8 x

Solution

\frac{x ^{4}}{2} - 8 x + C, C \in R