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

Similar Questions

Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34 Frequency 6 8 14 10 12 ...

Find the fourth term in the expansion of $(3x - y)^{6}$....

The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x. ...

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

If (x + 1) is a factor of the polynomial $x^{3} + px^{2} + x + 6$. Find the value of p....

A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º...

The initial and final velocities of an object of mass 5 kg are \(u = \begin{pmatrix} 1 \\ 3 \end{pma...

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

The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1....

Given that $P = \begin{pmatrix} y - 2 & y - 1 \\ y - 4 & y + 2 \end{pmatrix}$ and |P| = -2...