解答题
26.设f(x)=∫01｜x-y｜sin
【正确答案】f(x)=∫01｜x-y｜sin
=∫0x(x-y)sin
+∫x1(y-x)sin
=x∫0xsin
-∫0xysin
+x∫1xsin
-∫1xysin
则f'(x)=∫0xsin
+∫1xsin
，f''(x)=2sin
=∫0x(x-y)sin+∫x1(y-x)sin=x∫0xsin
-∫0xysin+x∫1xsin-∫1xysin则f'(x)=∫0xsin
+∫1xsin，f''(x)=2sin【答案解析】