WebMar 30, 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. WebTany is a joy to work with, highly creative and strategic and a master at building effective presentations. Thank you, Tany, for your generous donation of time, expertise and creativity. Christina ...
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WebFree math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math … WebSolve the integration of (tan x)2 Solution: To find the integral of (tan x) 2 (tan x) 2 = tan 2 x = sec 2 x - 1 (by the known trigonometric identity) ∫ tan 2 x. dx= ∫ [sec 2 x - 1] dx = ∫ (sec 2 x). dx - ∫ ∫ dx Using the standard integration formula, we get = tan x -x + c Answer: The integration of (tan x)2 = tan x -x + c Example 2. targobank abheben
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WebJun 13, 2016 · It's a good habit to have a thin space in front of “dx”, which emphasizes the fact that the “d” is attached to the variable “x”, forming a single unit (which is, mathematically, what really happens). So a savvy typist will input your formula as \ [ \int k\,dx = kx+C \] and, similarly, \ [ \iint\limits_ {\mathbb {R}^2} e^ {-x^2-y^2}\,dx\,dy \] WebThe integration of sec x tan x is sec x + C, where C is the integration constant. We know that the derivative of the trigonometric function sec x is sec x tan x, i.e., d (sec x)/dx = sec x tan x. So, if we integrate both sides of this equation we have ∫d (sec x)/dx dx = ∫sec x tan x dx ⇒ sec x + C = ∫sec x tan x dx. WebFeb 10, 2015 · Integral = ∫du/ (u 2 + 2) + ∫dv/ (v 2 - 2) = (1/√2) tan -1 (u/√2) + (1/2√2) log (v -√2)/ (v + √2)l + c = (1/√2) tan -1 [ (t 2 - 1)/t√2] + (1/2√2) log (t 2 + 1 - t√2) / t 2 + 1 + t√2) + c = (1/√2) tan -1 [ (tanx - 1)/ (√2tan x)] + (1/2√2) log [tanx + 1 - √ (2tan x)] / [tan x + 1 + √ (2tan x)] + c Recommend (14) Comment (0) person Syeda Answer. 願いたいです