重慶大學(xué)出社高等數(shù)學(xué)題庫(kù)參考答案

1、~~~第五章第五章不定積分不定積分1(1(直接積分法、換元積分法直接積分法、換元積分法)一、單選題一、單選題1.設(shè)是可導(dǎo)函數(shù)則為（A）.)(xf??))((dxxfA.B.C.D.)(xfCxf?)()(xf?Cxf??)(2.函數(shù)的（B）原函數(shù)稱為的不定積分.)(xf)(xfA.任意一個(gè)B.所有C.唯一D.某一個(gè)3.（A）.????)(2cos)(xfCxedxxfx則A.B.C.D.)2sin22(cosxxex?Cxxex??)2

2、sin22(cosxex2cosxex2sin4.函數(shù)的不定積分是（B）.xexf?)(A.B.C.D.xecex?xlncx?ln5.函數(shù)的原函數(shù)是（A）.xxfcos)(?A.B.C.D.cx?sinxcosxsin?cx??cos6.函數(shù)的原函數(shù)是（A）.211)(xxf??A.B.C.D.cxx??1xx1?32xcxx??127.設(shè)是的一個(gè)原函數(shù)則（B）x2)(xf?????dxxf)(A.B.2C.D.2x22x8.若則=（

3、A）cedxexx????xdex22A.B.C.D.cex?2cex?cex??2cex??29.函數(shù)的原函數(shù)是（D）xxfsin)(?A.B.C.D.cx?sinxcosxsin?cx??cos10.若=（B）)()()()()(xGxFxfxGxF???的原函數(shù)，則均為、A.B.0C.D.)(xf)(xF)(xf?11.函數(shù)的原函數(shù)是（A）211)(xxf??A.B.C.D.cxx??1xx1?32xcxx??12~~~11..C

4、xdxx???434112..)C41(2222?????xxeddxxe13..Cxxdxx????2sin21sincos14..Cxdxx????3arctan31911215..Cxxdxx????)sin(212sin216..????Cxfdxxf)2(21)2(17.設(shè)若積分曲線通過(guò)原點(diǎn)，則常數(shù).???.)()(CxFdxxf)0(FC??18..)3(arctan31912xdxdx??19..)(2122xxeddxx

5、e?20.已知.xxfCxdxxf2sin)(sin)(2????則21.設(shè)的兩個(gè)不同的原函數(shù)，且C.)()()(21xfxFxF是、???)()(0)(21xFxFxf則有22.Cxxdxxx??????22211123..Cedxexxx????112124..)1ln(21122???xddxxx25.若則的原函數(shù)為.xxfsin)(的導(dǎo)函數(shù)是)(xfCx??sin26.設(shè)的一個(gè)原函數(shù)，則.)(3xfx為dxxxdf23)(?27