Evaluate $\int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x$.

Similar Questions

Two balls are drawn, from a bag containing 3 red, 4 white and 5 black identical balls. Find the prob...

Find the magnitude and direction of the vector $p = (5i - 12j)$...

Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 - 19 20 - 22 Frequency 4 7 26 41 1...

If sin x = $\frac{12}{13}$ and sin y = $\frac{4}{5}$, where x and y are acute angles, find&...

Express cos150° in surd form. ...

Evaluate $\log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})$...

Find the value of x for which 6$\sqrt{4x^2 + 1}$ = 13x, where x > 0...

Which of these inequalities is represented by the shaded portion of the graph?  ...

Given that $r = 3i + 4j$ and $t = -5i + 12j$, find the acute angle between them....

In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizonta...