REFERENCE page 10 TABLE OF INTEGRALS Exponential and Logarithmic Forms 1o0.nud加=ulnu-u+C n∫rr咖--∫r咖 +1 1o1.∫rhn血-a+pa+)a"-)+C a.∫esn=云+a-bos侧+C 1o2.c e 9.ecos hu d血=a+cos b+bsin侧）+C Hyperbolic Forms 103.sinh u du -coshc 108.csch u du In 104.cosh u du sinh u+C 109.sech'u du=tanh u+C 105.tanh udu=In coshu+C 110.csch'u du =-coth u+C 106.coth udu=In sinh uc 111.sech u tanh u du =-sechu+C 107.sech u du tan-sinhu+c 112.csch u coth u du =-csch u+C Forms Involving 2au -u,a>0 n∫m--"2m-+号ms(e。）+c --2-g2am+号w(e）+g 5.j2,正-v2m-+am-(e。）+c 6j@-2@-w(e）+d 2 du 2m-+cREFERENCE page 10 Exponential and Logarithmic Forms 96. y ueau du − 1 a2 sau 2 1deau 1 C 100. y ln u du − u ln u 2 u 1 C 97. y un eau du − 1 a un eau 2 n a y un21 eau du 101. y un ln u du − un11 sn 1 1d 2 fsn 1 1d ln u 2 1g 1 C 98. y eau sin bu du − eau a2 1 b2 sa sin bu 2 b cos bud 1 C 102. y 1 u ln u du − ln | ln u | 1 C 99. y eau cos bu du − eau a2 1 b2 sa cos bu 1 b sin bud 1 C Hyperbolic Forms 103. y sinh u du − cosh u 1 C 108. y csch u du − ln | tanh 1 2 u | 1 C 104. y cosh u du − sinh u 1 C 109. y sech2 u du − tanh u 1 C 105. y tanh u du − ln cosh u 1 C 110. y csch2 u du − 2coth u 1 C 106. y coth u du − ln | sinh u | 1 C 111. y sech u tanh u du − 2sech u 1 C 107. y sech u du − tan21 | sinh u | 1 C 112. y csch u coth u du − 2csch u 1 C Forms Involving s2au 2 u2 , a . 0 113. y s2au 2 u2 du − u 2 a 2 s2au 2 u2 1 a2 2 cos21 S a 2 u a D 1 C 114. y us2au 2 u2 du − 2u2 2 au 2 3a2 6 s2au 2 u2 1 a3 2 cos21 S a 2 u a D 1 C 115. y s2au 2 u2 u du − s2au 2 u2 1 a cos21 S a 2 u a D 1 C 116. y s2au 2 u2 u2 du − 2 2s2au 2 u2 u 2 cos21 S a 2 u a D 1 C 117. y du s2au 2 u2 − cos21 S a 2 u a D 1 C 118. y u du s2au 2 u2 − 2s2au 2 u2 1 a cos21 S a 2 u a D 1 C 119. y u2 du s2au 2 u2 − 2 su 1 3ad 2 s2au 2 u2 1 3a2 2 cos21 S a 2 u a D 1 C 120. y du us2au 2 u2 − 2 s2au 2 u2 au 1 C PP TABLE OF INTEGRALS Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it