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Explain whether the following integrals converge or not. If the integral converges, find the value. If...

Explain whether the following integrals converge or not. If the integral converges, find the value. If the integral does not converge, describe why (does it go to +infinity, -infinity, oscillate, ?)

i) Integral from x=1 to x=infinity of x^-1.4 dx

ii) Integral from x=1 to x=infinity of 1/x^2 * (sin x)^2 dx

iii) Integral from x=0 to x=1 of 1/(1-x) dx

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