Xét \(I = \int\limits_0^{\frac{\pi }{2}} {{{\cos }^5}x} .{\sin ^2}xdx\), nếu đặt \(t = \sin x\) thì \(I\) bằng
A.\(\int\limits_0^1 {{{\left( {1 - {t^2}} \right)}^2}} {\mkern 1mu} {t^2}dt.\)
B.\(\int\limits_0^1 {\left( {1 - {t^2}} \right)} dt.\)
C.\(2\int\limits_0^1 {{{\left( {1 - {t^2}} \right)}^2}} dt.\)
D.\(\int\limits_0^1 {{{\left( {1 - {t^3}} \right)}^2}} {\mkern 1mu} {t^2}dt.\)
A.\(\int\limits_0^1 {{{\left( {1 - {t^2}} \right)}^2}} {\mkern 1mu} {t^2}dt.\)
B.\(\int\limits_0^1 {\left( {1 - {t^2}} \right)} dt.\)
C.\(2\int\limits_0^1 {{{\left( {1 - {t^2}} \right)}^2}} dt.\)
D.\(\int\limits_0^1 {{{\left( {1 - {t^3}} \right)}^2}} {\mkern 1mu} {t^2}dt.\)
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Hóa Học lớp 12
