数学试题讲解

若

M = \int_{\frac{π}{2}}^{\frac{π}{2}} \frac{\sin x}{1 + x^{2}} \cos^{4} x d x, P = \int_{\frac{π}{2}}^{\frac{π}{2}} (x^{2} \sin^{3} x - \cos^{4} x) d x, N =

\int_{- \frac{π}{2}}^{\frac{π}{2}} (\sin^{3} x + \cos^{4} x) d x

, 则

()

A. N

> M > P

N > P > M

M > P > N

P > M > N