(09河南)下列不等式不成立的是
A. $\int_{1}^{2} \ln x d x>\int_{1}^{2}(\ln x)^{2} d x$
B. $\int_{0}^{\frac{\pi}{2}} \sin x d x < \int_{0}^{\frac{\pi}{2}} x d x$
C. $\int_{0}^{2} \ln (1+x) d x < \int_{0}^{2} x d x$
D. $\int_{0}^{2} e^{x} d x < \int_{0}^{2}(1+x) d x$