Suppose $\int_{0}^{7} f(t) d t=a$ , where a is a constant.Calculate $\int_{0}^{1} f(7 t) d t$ .
A)a
B)7a
C) $\frac{a}{7}$
D) $a-7$

Name: Suppose $\int_{0}^{7} f(t) d t=a$ , where a is a constant.Calculate $\int_{0}^{1} f(7 t) d t$ . A)a B)7a C) $\frac{a}{7}$ D) $a-7$
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Question

Quizplus · Accepted Answer

The substitution $u = 7t$ transforms the integral $\int_{0}^{1} f(7t) dt$ into $\frac{1}{7}\int_{0}^{7} f(u) du$, which equals $\frac{a}{7}$.

Suppose ∫07f(t)dt=a\int_{0}^{7} f(t) d t=a∫07​f(t)dt=a , Where a Is a Constant ∫01f(7t)dt\int_{0}^{1} f(7 t) d t∫01​f(7t)dt

Suppose $\int_{0}^{7} f(t) d t=a$ , Where a Is a Constant $\int_{0}^{1} f(7 t) d t$