- Indefinite and Definite Integrals

Ck2n sinh[2(n − k)x]

2(n − k) , n = 1, 2, . . .

10. ∫

cosh2n+1 x dx = 1 22n

Ck2n+1 sinh[(2n− 2k + 1)x]

2n − 2k + 1 = n∑

Ckn sinh2k+1 x 2k + 1

,

n = 1, 2, . . .

11. ∫

coshp x dx = 1 p

sinh x coshp−1 x+ p− 1 p

∫ coshp−2 x dx.