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
∫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...
Integration by parts is the technique used to find the integral of the product of two types of functions. The popular integration by parts formula is, ∫ u dv = uv - ∫ v du. Learn more about the derivation, applications, and examples of integration by p
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,...
\(\int \tan x d x=-\log |\cos x|+C\) \(\int \cot x d x=\log |\sin x|+C\) \(\int \sec x d x=\log |\sec x+\tan x|+C\) \(\int \operatorname{cosec} x d x=\log |\operatorname{cosec} x-\cot x|+C\)....
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x I proceeded as follows $$\int\frac{2(\sqrt3-1)(cosx-sinx)}{2(\sqrt3+2sin2x)}dx$$ $$\int\frac{(cos(\pi/6)-sin(\pi/6))(cosx-sinx)}{(sin(\pi/3)+sin2x)}dx$$ $$\frac{1}{2}\int\frac{cos(\pi/6...
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∫u(x)⋅v(x)dx=u(x)∫v(x)dx−∫u′(x)(∫v(x)dx)dx Answer and Explanation:1 Given: ∫t2sin(4t)dt To evaluate the above integral, we will apply integration by parts. Formula of Integration by parts... Learn more about this topic: ...
Answer to: Solve the integral: Integration ((6(x^2)-10(x^4)) by ((x^5) - (x^3))) dx. By signing up, you'll get thousands of step-by-step solutions...