AM-1886

Definite integral as area

A Math · Secondary 4 · Medium · Definite integral as area

Given that

\displaystyle\int_1^4 f(x)\,dx = 15

, and that the curve passes through

(1,4)

and

(4,1)

, find the value of

\displaystyle\int_{f(4)}^{f(1)} x\,dy

for the curve

y=f(x)

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