Question

Evaluate \(\int_2^3\)3f(x)-g(x)dx, if \(\int_2^3\)f(x)  = 4 and \(\int_2^3\)g(x)dx = 4.

(a) 38

(b) 12

(c) 8

(d) 7

This question was addressed to me in an online interview.

I'm obligated to ask this question of Properties of Definite Integrals topic in division Integrals of Mathematics – Class 12

Answer 1

Right answer is (c) 8

The explanation: \(\int_2^3\)3f(x)-g(x)dx = 3 \(\int_2^3\)f(x)  – \(\int_2^3\)g(x)dx

= 3(4) – 4

= 8