∫sec(u) tan(u) du =sec(u) + C ∫cosec(u) cot(u) du = - cosec(u) + C ∫(a2 - u2)-1/2du = - arcsin(u/a) + C ∫(a2 + u2)-1/2du = (1/a) arctan(u/a) + C ∫(a2 - u2)-1/2du = - arcsin(u/a) + C d/dx[∫xaf(t)dt] = f(x)Table 1. Com...
Integral of csc xis, ∫ cosec x dx = ln |cosec x - cot x| + C (or) - ln |cosec x + cot x| + C (or) ln | tan (x/2) | + C Integral of sec xis, ∫ sec x dx = ln |sec x + tan x| + C (or) (1/2) ln | (1 + sin x) / (1 - sin x) (or) ln | ...