What is the area under the graph of #f(x) = x^2 + 2# on #[1, 2]#?
1 Answer
Jun 2, 2017
Explanation:
The bounds of integration are given, therefore we can write our expression for area right away.
#A = int_1^2 x^2 + 2#
#A = [1/3x^3 + 2x]_1^2#
#A = 1/3(2)^3 + 2(2) - (1/3(1)^3 + 2(1))#
#A = 8/3 + 4 - 1/3 - 2#
#A = 7/3 + 2#
#A = 13/3#
Hopefully this helps!
