question archive Use the Table of Integrals to evaluate the integral

Use the Table of Integrals to evaluate the integral

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Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 37 37e74 arctan (371)d.x e
TABLE OF INTEGRALS Trigonometric Forms 63. 76. 64. Cos’u du = ju + sin 2u + C sec"u du tan u sec u + n-1 sec"-?u du sin’u du = $u – “sin 2u + c so su so Ss sco cot”u du =-=-, cottu - | cot*-?u du 77. S n = { s --- n=1 SC s 65. tan u du = tan u + C 78. csc"u du = -cot u csc"-24 + csch-Pu du 66. cot'u du = -cotu - u + C 79. sin (a - b) usin (a + b)u sin au sin bu du = + c 2(a - b) 2(a + b) 67. sin'u du = -(2 + sin’u) cos u + C 80. sin (a - b) cos au cos bu du = 2(a - b) + sin (a + b)u + c 2(a + b) 68. cos'u du = }(2 + cos²u) sin u + C 81. sin au cos bu du- cos (a - b) 2(a - b) cos (a + blu + C 2(a + b) 82. u sin u du = sin u+ C 69. su tan'u du tan’u + Incos u + C 70. so cot'u du = cotu - In sin u + C 71. ss secu du = sec u tan u + Insec u + tan u + C 72 sos csc'u du = -csc u cot u + In csc u - cot u + C n-1 73. sin'u du sin'u du = sin-'u cos u + sin"-?u du 83. Su S. fu u cos u du = cos u + u sin u + C 84. u" sin u du = - "Cos u + n - cos u du ns njunt n 85. n u" cos u du = uk sin un I sin u du 86. f si sin'u cos "u du = sin-'u cosnu n + m + n - 1 n+m sin-au cos"u du 72 cos'u du = cos'u sino +"=" | con="in du sta m-1 75. tan'u du = n-1 tanu - tan"-au du sin"+" cos- n+m + n+m sin"u cos'u du 87. Inverse Trigonometric Forms sinau sin-'u du = u sin-' + l-u?+ C ?cos-'u du = u costu V1 – 14+C 92. j u trau de ** *1-1-1+c 91. Ju sin's dis - - + ["sna-S 88. 1+1 du -u ] n-1 89. tan'u du = u tanu - In(1 + u?) + c "+1 du 94. S un cos 4*+1 cos'u + 2u2 - 1 u sin-'u du = 4 1 cos'u du = n+1 n-1 uvi - 42 + C 4 SI 90 sin-'u + 12 S. fu 91. u cos'u du = 2u2 - 1 cos'u- 4 u-u? + C 4 95. sus 1 u" tan-'u du = n+1 *+1 tan-u- u*+1 du 1 + u n-1

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