let-hx3xx-hx-frac3-xx-are-there-numbers-0-and-ltc-and-lt15-0-and-lt-c-and-lt-15-

Question

Let h(x)=3−xx h(x) = \frac{3 - x}{x} . Are there any numbers 0c320 such that ∫3−c3+ch(x) dx=0 \int_{3-c}^{3+c} h(x) \, dx = 0 ?

Accepted Answer

No, such cc do not exist

Answer

Yes, such cc exist

Let h(x)=3−xx h(x) = \(\frac{3 - x}{x}\) . Are there any numbers 0<c<320<c<\(\frac\)32 such that ∫3−c3+ch(x)dx=0 \(\int\)_{3-c}^{3+c} h(x) \, dx = 0 ?