List I | List II | ||
A. | \(\int\limits^{\frac{\pi}{2}}_0\frac{\sin^{\frac{7}{2}}x}{\sin^{\frac{7}{2}}+\cos^{\frac{7}{2}}}dx\) | I. | \(\frac{\pi}{4}-\frac{1}{2}\) |
B. | \(\int\limits_0^{\pi}\frac{x\sin x}{1+\cos^2x}dx\) | II. | 0 |
C. | \(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}}x\cos x\ dx\) | III. | \(\frac{\pi}{4}\) |
D. | \(\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\sin^2x\ dx\) | IV. | \(\frac{\pi^2}{4}\) |