Question

In \(\int_a^b\)f(y) dy, what is ‘a’ called as?

(a) Integration

(b) Upper limit

(c) Lower limit

(d) Limit of an integral

This question was posed to me during an internship interview.

I want to ask this question from Definite Integral in chapter Integrals of Mathematics – Class 12

Answer 1

The correct option is (b) Upper limit

For explanation I would say: In \(\int_a^b\)f(y) dy ‘a’ is the called as lower limit and ‘b’ is called the upper limit of the integral. The fuction f in \(\int_a^b\)f(y) dy is called the integrand. The letter ‘y’ is a dummy symbol and can be replaced by any other symbol.