∫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. Common integrals.Integration...
Yes, there are other methods for integrating functions such as substitution and partial fractions. It is important to understand and be able to use multiple integration techniques to solve different types of problems.Similar threadsIntegrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x...
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x Feb 3, 2024 Replies 3 Views 961 Differentiate the given integral Jun 27, 2023 Replies 15 Views 1K Computing line integral using Stokes' theorem Dec 11, 2022 Replies 8 Views 1K Stokes' theorem gives different ...
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 | ...