Evaluate the integral in terms of areas.
1,823
Some tricks to help you:
a. count squares
b. calculate the area of known figures, such as triangles and rectangles.
For example, the integral in (b) can be calculate as the same of the area of a trapezoid($(1+3)\cdot 2/2$), a rectangle ($1\cdot 3$), and a triangle ($3\cdot 2/2$) to give a grand total of $10$.
That should cover it, good luck.
Related videos on Youtube
Author by
etree
Updated on August 01, 2022Comments
-
etree over 1 year
I understand that the first one is 4 from basically adding the squares inside the signed area, but I'm unsure on how to proceed in getting the other integrals. Any help would be appreciated, thank you.
-
Git Gud over 8 yearsCan't you find the second one? Same principle.
-
Admin over 8 yearsYou are just finding the area under the graph on the given interval. It would probably help to divide it into triangles and rectangles.
-
etree over 8 yearsHow am I supposed to add up the squares between 2 and 5? The ones in between 0 and 2 were either full squares or half squares.
-
Git Gud over 8 years@etree Can you spot half a rectangle?
-
etree over 8 yearsNevermind, I got it. Usage of triangles and trapezoids helped out Jake, thanks.
-
-
Mnifldz over 8 yearsWhile you're computing the values for the OP, you're not providing an explanation for how to compute those values.