Products of Trigonometric Functions and Ex- ponentials (117) Z e x sin x dx = 1 2 e x (sin x - cos x) (118) Z e bx sin ax dx = 1 a 2 + b 2 e bx (b sin ax - a cos ax) (119) Z e x cos x dx = 1 2 e x (sin x + cos x) (120) Z e bx cos ax dx = 1 a 2 + b 2 e bx (a sin ax + b cos ax) (121) Z xe x sin x dx = 1 2 e x (cos x - x cos x + x sin x) (122) Z xe x cos x dx = 1 2 e x (x cos x - sin x + x sin x) Integrals of Hyperbolic Functions (123) Z cosh ax dx = 1 a sinh ax (124) Z e ax cosh bx dx =      e ax a 2 - b 2 [a cosh bx - b sinh bx] a 6= b e 2 ax 4 a + x 2 a = b (125) Z sinh ax dx = 1 a cosh ax 13