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 | ...
∫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...
Answer to: Evaluate: Integration of (sec^2 x(tan x - 2)^3 - {cosec x * cot x} / {(cosec x - 2)^5} - e^x square root of {ex + 1}) dx By signing up,...
\(\int \tan x d x=-\log |\cos x|+C\) \(\int \cot x d x=\log |\sin x|+C\) \(\int \sec x d x=\log |\sec x+\tan x|+C\) \(\int \operatorname{cosec} x d x=\log |\operatorname{cosec} x-\cot x|+C\)....
is used when two functions come together in the integrand. To solve such problems, we select the order of these two functions according to the ILATE order. ILATE refers to an inverse trigonometric function, logarithm function, algebraic function, trigonometric function, and, an expo...
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