Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}

Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

What is the derivative of t² sin (3t - 5) with respect to t?

Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)

Find the value of x for which the function y = x³ - x has a minimum value.