Definite Integral as the Limit of a Sum

Find an approximate value of `int_1^1.5` xdx by applying the left–end rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}

Find an approximate value of `int_1^1.5` x²dx by applying the right–end rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}

Find an approximate value of `int_1^1.5 (2 - x)` dx by applying the mid-point rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}

Evaluate the following integrals as the limits of sum:

`int_0^1 (5x + 4)"d"x`

Evaluate the following integrals as the limits of sum:

`int_1^2 (4x^2 - 1)"d"x`

Choose the correct alternative:

The value of `int_0^(2/3) ("d"x)/sqrt(4 - 9x^2)` is

Choose the correct alternative:

The value of `int_(-1)^2 |x|  "d"x` is