NettetIntegrate the function x(logx) 2 Medium Solution Verified by Toppr I=∫x(logx) 2dx Taking (logx) 2 as first function and 1 as second function and integrating by part, we obtain I=(logx) 2∫xdx−∫[{(dxd logx)2}∫xdx]dx = 2x 2(logx) 2−[∫2logx⋅ x1⋅ 2x 2dx] = 2x 2(logx) 2−∫xlogxdx Again integrating by parts, we obtain NettetIntegration is a linear function, using this property allows the function to get the required result. For the online calculation of antiderivative of function sum, simply type the mathematical expression that contains the sum, specify the variable and apply function .

Evaluate the integral: ∫x^3 log 2x dx - Sarthaks

NettetLet me give another approach, using change of variables in the integral: log ( x y) = ∫ 1 x y 1 t d t = ∫ 1 x 1 t d t + ∫ 1 x y 1 t d t − ∫ 1 x 1 t d t = ∫ 1 x 1 t d t + ∫ x x y 1 t d t. Now, change variables u = t / x in the second integral, and you are done. Share Cite Follow answered Jan 22, 2015 at 19:58 mickep 20.2k 1 28 55 Add a comment 2 Nettet20. jun. 2024 · Explanation: I = ∫ logx x(1 +logx)(2 +logx) dx. Let u = logx so du = 1 x dx. I = ∫ u (u +1)(u + 2) du. Let's examine u (u +1)(u +2) and its partial fraction decomposition: … how to take bp on obese patient

Find the Derivative - d/dx y = log base 2 of x Mathway

NettetThe integration of log x is equal to xlogx - x + C, where C is the integration constant. Here, the function log x is considered with base e which is an exponential number. … Nettet16. mar. 2024 · Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo. Nettet★★ Tamang sagot sa tanong: 9-pangngalang pantangi 9-pangngalang pambalana po galing sa kuwento, pahelp po, Inulit ko lng po walang sumagot sa 1st question q ni2. - studystoph.com ready meals ready 2 heat instructions