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

Similar Questions

Evaluate $\cos 75°$, leaving the answer in surd form....

Find the maximum value of $2 + \sin (\theta + 25)$....

The distance S metres moved by a body in t seconds is given by \(S = 5t^3 - \frac{19}{2} t^2 + 6t - ...

Find the coefficient of $x^{3}$ in the binomial expansion of $(x - \frac{3}{x^{2}})^{9}$....

Express (14N, 240°) as a column vector. ...

The polynomial $2x^{3} + 3x^{2} + qx - 1$ has the same reminder when divided by $(x + 2)$ and \(...

Calculate, correct to one decimal place, the acute angle between the lines 3x - 4y + 5 = 0 and 2x + ...

Which of the following sets is equivalent to $(P \cup Q) \cap (P \cup Q')$?...

Solve the inequality $x^{2} - 2x \geq 3$...

Which of the following is a factor of the polynomial $6x^{4} + 2x^{3} + 15x + 5$?...