Find the area bounded be the curve with the equation y = x^2, the line x = 1, the line x = -1, and the x-axis.
The answer is 2/3. This can either be obtained by performing a standard integration of y=x^2, using the power rule, between x = 1 and x = -1. Alternatively, integrate y = x^2 between x = 0 and x = 1, then double the result after noticing that y = x^2 is an even function.The latter way avoids dealing with having to cube negative numbers if calculation is not a strong point for the student.
IA
Related Maths A Level answers
All answers ▸How do you differentiate X to the power of a?
I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?
Event A: a customer asks for help. Event B a customer makes a purchase. We know: p(B) = 0.2 and p(A) knowing that he has asked for help is 75%. What is the probability of a customer to ask for help and make a purchase?
Find the antiderivative of the function f(x)=cos(2x)+5.