Question

What is the constant multiple property of definite integrals?

(a) \(\int_a^b\)k⋅f(x)dy

(b) \(\int_a^b\)[f(-x)+g(x)dx

(c) \(\int_a^b\)k⋅f(x)dx

(d) \(\int_a^b\)[f(x)+g(x)dx

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Answer 1

Right answer is (c) \(\int_a^b\)k⋅f(x)dx

Easiest explanation: The constant multiple property of definite integrals is \(\int_a^b\)k⋅f(x)dx

\(\int_a^b\)k⋅f(x)dx = k \(\int_a^b\)f(x)dx