Today's calculation of Integral 495
Source: 2009 Okayama Prefectural University entrance exam
October 9, 2009
calculusintegrationtrigonometrylogarithmscalculus computations
Problem Statement
Evaluate the following definite integrals.
(1) \int_0^{\frac {1}{2}} \frac {x^2}{\sqrt {1 \minus{} x^2}}\ dx
(2) \int_0^1 \frac {1 \minus{} x}{(1 \plus{} x^2)^2}\ dx
(3) \int_{ \minus{} 1}^7 \frac {dx}{1 \plus{} \sqrt [3]{1 \plus{} x}}