∫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...
∫ cosec x . cot x dx = -cosec x + CIntegration Rules of Inverse Trigonometric FunctionsThere are 6 inverse trigonometric functions: arcsin (sin-1), arccos (cos-1), arctan (tan-1), arccsc (csc-1), arcsec (sec-1), and arccot (cot-1). Here are the integration rules of these ...