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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 78 ELEMENTARY TRANSCENDENTAL FUNCTIONS a tan (%)+b 4.3.131 2 arctan (a2 > b2) =--- S a + k n z (a2-b2)>f (a'- b2)t a tan (;)+ b - ( b2- u2> '1 1 =Ot In [a tan (!?)+b+(b2-&)t 4.3.132 4.3.133 z (a- b) tan - 2 (a'-bZ)>) =- arctan Ju+bd:os z (a2- b2)t 1 (b2-uz)+ In [ (b-a) tan - z (b2-a2)+ (b-a) tan 2+(b2-a2)>f z 1 =- 2- 4.3.134 z -tan - 2 z --cot - 2 4.3.135 4.3.136 eaz eaz sin bz dz=- (a sin bz- b cos bz) S a2 + b2 4.3.137 (a cos bz+b sin bz) e"" cos bz dz=- S u2+b2 e"" 4.3.138 ,az Sinn-l eaz sin" bz dz= b z (a sin bz-nb cos b z ) S a2+n2b2 .. 4.3.139 eaz cosn-l bz u2+n2b2 s e a . COS" bz dz= (a cos b z f n b sin bz) Definite Integrals 4.3.140 I s i n mt sin nt dt=O ( m f n , m and n integers) l c o s mt cos nt dt=O 4.3.141 s,' (n an integer, n#O) sin mt T 4.3.142 s, dt=s (m>O> =O (m=O) _-- 7r (m