Question

Integration of function y = f(x) from limit x1 < x < x2 , y1 < y < y2, gives ___________

(a) Area of f(x) within x1 < x < x2

(b) Volume of f(x) within x1 < x < x2

(c) Slope of f(x) within x1 < x < x2

(d) Maximum value of f(x) within x1 < x < x2

I got this question during an interview for a job.

This question is from Improper Integrals in chapter Integral Calculus of Engineering Mathematics

Answer 1

Right choice is (a) Area of f(x) within x1 < x < x2

The best I can explain: Integration of function y=f(x) from limit x1 < x < x2 , y1 < y < y2, gives area of f(x) within x1 < x < x2.