Find the area bounded by the line y = 2x, the x-axis and the lines x = 1 and x = 4.

Find the area enclosed by the circle x² + y² = 16.

Find the area of the region enclosed between the parabola y = x² and the line y = x.

Find the area bounded by the curve y = x², the x-axis and the lines x = 0 and x = 3.

Find the projection of a = 2i + 3j + 2k on b = i + 2j + k.

If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], find AB and BA and state whether they are equal.

Evaluate the integral of 1/(x² − 1) with respect to x.