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A strictly increasing and continuous function f(x)f(x)f(x) intersects with its inverse f−1(x)f^{-1}(x) f−1(x) at points x=ax=ax=a and x=bx=bx=b, where aaa and bbb are integers.
If ∫ab[f(x)+f−1(x)] dx=17 \displaystyle \int_a^b[f(x) + f^{-1}(x)] \, dx = 17 ∫ab[f(x)+f−1(x)]dx=17, find ∣a×b∣ |a \times b|∣a×b∣.
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