Which of the following identities is always true for any integrable function and real…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Which of the following identities is always true for any integrable function ff and real constant cc? (a) ∫abc f(x) dx=1c∫abf(x) dx\displaystyle \int_a^b c\,f(x)\,dx = \tfrac{1}{c}\int_a^b f(x)\,dx (b) ∫abc f(x) dx=c∫abf(x) dx\displaystyle \int_a^b c\,f(x)\,dx = c\int_a^b f(x)\,dx (c) ∫abc f(x) dx=∫cacbf(x) dx\displaystyle \int_a^b c\,f(x)\,dx = \int_{ca}^{cb} f(x)\,dx (d) ∫abc f(x) dx=c∫baf(x) dx\displaystyle \int_a^b c\,f(x)\,dx = c\int_b^a f(x)\,dx

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