I just came across a calculus word problem about integration; specifically, the area between two curves. Two runners, starting at the same location, run along a straight road for 1 hour. The velocity of one runner is \(\boldsymbol{v_1\left(t\right) = 7t}\) and the velocity of the other runner is \(\boldsymbol{v_2\left(t\right) = 10\sqrt{t}}\). ...
Category: Integration
The Geometric Interpretation of the Derivative and the IntegralThe Geometric Interpretation of the Derivative and the Integral
I have been trying to learn Calculus on and off for several years. In the last 3 months I re-read about Limits, Differentiation and Applications of Differentiation and finally, reached the point where I am starting to learn about Integration. It occurred to me that it might be interesting to ...