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Homework answers / question archive / Use the Table of Integrals to evaluate the integral
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
7 sin8(x) cos(x) ln(sin(x)) dx
TABLE OF INTEGRALS 96. 100. In u du = u In u – u + c 101. (v1 Exponential and Logarithmic Forms fue du == a cu (au - 1) + C 97. : ue“ du = *** urgen -a --- u"- du Sea sin bu du = (a sin bu - b cos bu) + C a + b 2 : sec "' cos bu du = (a cos bu + b sin bu) + C a+ b2 "In u du [(n + 1) Inu - 1] + C (n + 1) ed 98. du = ln | In u + C 99. 103. Hyperbolic Forms sinh u du = cosh u + C 104. cosh u du = sinh 4 + C 105. tanh u du = ln cosh u + C 106. S coth u du = ln sinh u| + C 107. sech u du tan-'| sinh a + C 108. cách t? du = ln | tanh ka + C 109. seckºu du = tanh u + c 110. cseh’u du = −coth u + c 111. sech u tanh u du = =sech u + C 112 | csch u coth u du = -csch u + C U-a u? + Forms Involving 20u - 12, a > 0 113. ? v24u – u? du 2ax 2 2u su 2au u du the cos"(14)+c co- 074) + 3a 114. - au- 6 2au - u+ 2 + C 2au - 2 du = 14 115 Zau P + a cos! +C 2 au 112 du = 22au - U2 116. Cos 054(44)+c a - 1 117. s du 2 au = COS + c a 118. u du Zau au - 42 + a cos! + c 12 a u du 119. s (u + 3a) 2 3a2 2au - U? + COS 2au - du 2au - #2 120. + C 2au |
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