NettetSolution Verified by Toppr Let I=∫ sinxlog(tan 2x) dx Let logtan 2x=t. Then, tan 2x1 sec 22x× 21 dx=dt dx=sinx dt Putting logtan 2x=t and dx=sinx dt, we get, I=∫sinxt sinx dt=∫t dt= 2t 2+C= 2(logtan 2x) 2+C Solve any question of Integrals with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions Evaluate : ∫ x(logx) 3 dx Medium NettetIn mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.Integration, the process of computing an …

Evaluate:∫log (1/x -1)dx , for x→0,1 - Sarthaks eConnect

NettetI'm asked to calculate $\int_{ z = 1} z^{n} \log z dz$ in two ways: (1) if $\log 1 = 0$; (2) if $\log (-1) = i \pi$. I understand it means that in case (1) I have to work with the principal … Nettet27. feb. 2024 · log ( 1) = 2 n π i. where n is any integer. This example leads us to consider the polar form for z as we try to define log ( z). If z = r e i θ then one possible value for … co to metafora życia

Answered: 5. Approximate 8 log(2024) and Led xex… bartleby

NettetEvaluate ∫x log x dx on (0,∞). Medium Solution Verified by Toppr ∫xlogxdx =logx∫xdx−∫x1⋅ 32x 3/2dx, Use by parts = 32xxlogx− 32∫xdx = 32xxlogx− 32⋅ 32xx+C = 32xxlogx− 94xx+C Video Explanation Solve any question of Integrals with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions $$\displaystyle \int e^\sqrt {x}dx=$$ Medium Nettet6. apr. 2015 · ∫ 0 + ∞ log z 1 + z α d z = − π 2 α 2 ⋅ cos π α sin 2 π α, provided that α > 1, with a complex analytic method, i.e. contour integration. However, I was not able to … NettetWolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator … magali carpentier