Important: The student package has been deprecated. Use the superseding command Student[Calculus1][RiemannSum] instead.

The function rightsum computes a numerical approximation to an integral using rectangles. The height of each rectangle (box) is determined by the value of the function at the right side of each interval.

Four equal-sized intervals are used by default.

A graph of the approximation can be obtained by the Maple procedure rightbox.

The command with(student,rightsum) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{student}\right)\:$

$\mathrm{rightsum}\left(x^k\ln \left(x\right)\,x=1..3\right)$

$\frac{\left(\sum _{i=1}^4{\left(1+\frac{i}{2}\right)}^k\ln \left(1+\frac{i}{2}\right)\right)}{2}$

$\mathrm{rightsum}\left(\sin \left(x\right)x+\sin \left(x\right)\,x=1..3\,12\right)$

$\frac{\left(\sum _{i=1}^{12}\left(\sin \left(1+\frac{i}{6}\right)\left(1+\frac{i}{6}\right)+\sin \left(1+\frac{i}{6}\right)\right)\right)}{6}$