We have seen how integration can be used to find an area between a curve and the x-axis. With very little change we can find some areas between curves; ...

... Notes: The substitution method turns the integral into a simpler integral involving the variable u. The new integral can be evaluated by using either the ...

We are experts in one application of the integral-to find the area under a curve. The curve is the graph of y = v(x), extending from x = a at the left to x = b ...

Differentiation — as we saw last term, differentiation allows us to compute and study the instantaneous rate of change of quantities.

From geometric applications such as surface area and volume, to physical applications such as mass and work, to growth and decay models, definite integrals are ...

22 нояб. 2002 г. · These notes are intended to be a summary of the main ideas in course MATH 214-2: Integral Calculus. I may keep working on this document as the ...

We are experts in one application of the integral-to find the area under a curve. The curve is the graph of y = v(x), extending from x = a at the left to x = b ...

This document discusses several applications of integral calculus including finding the average value of a function over an interval, calculating the area ...

The techniques for calculating integrals. 3. The applications. 2 Sigma Sum. 2.1 Addition re-learned: adding a sequence of numbers.

Step 2 Find the limits of integration in new system of variable i.e.. the lower limit is g(a) and the upper limit is g(b) and the g(b) integral is now.