Integral of e secx
Nettet∫ e x [ sec x + log ( sec x + tan x)] d x Advertisement Remove all ads Solution Let I log Let I = ∫ e x [ sec x + log ( sec x + tan x)] d x Here, log Here, f ( x) = log ( sec x + tan x) P u t e x f ( x) = t ⇒ f ′ ( x) = sec x let e log let e x log ( sec x + tan x) = t Diff both sides w . r . t x Diff both sides w . r . t x NettetThe Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common …
Integral of e secx
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Nettet8. feb. 2024 · What I tried: Let sec x = u. So. d u = sec x tan x d x = sec x sec 2 x − 1 d x = u u 2 − 1 d x. ⇒ d x = d u u u 2 − 1. Hence, I = ∫ u u u 2 − 1 d u = ∫ 1 u ( u 2 − 1) d u. From this point on I couldn't find any good substitutions. So I tried doing it by parts. Nettet∫e −x(1−tanx)secxdx is equal to A e −xsecx+c B e −xtanx+c C −e −xtanx+c D none of these Medium Solution Verified by Toppr Correct option is D) ∫e −x(secx−secxtanx) =secx∫e −x−∫(secxtanx∫e −x)−∫secxtanx.e −x =−secx.e −x+∫(secxtanx.e −x)−∫(secxtanx.e −x) =−secx.e −x Solve any question of Integrals with:- Patterns of problems >
NettetTo integrate 1/cosx, also written as ∫ 1/cosx dx, 1 divided by cosx, (cosx)^-1, we start by using standard trig identities to to change the form. We recall the standard trig identity for secx. Therefore the integral of secx is the same thing, or identical in other words. NettetOne Shot Class 12 Math Chapter7 Ex7.1One Shot Chapter7 Class12 Nexa Classes Class 12 Math Ex 7.1 in One ShotClass-12 Ex 7.1 Math's NCERT CBSE One Shot Video ...
NettetHello, I was solving a differential equation... and I got stuck where I need to integrate... x.e^[-sec^2[x]] Any ideas? NettetAnswer (1 of 6): This adjustment may work: sec x = sec x * [ (sec x + tan x) / (sec x + tan x)] = g(x) ln (sec x + tan x) = integral of g(x)dx So, let u = ln (sec x + tan x) du = sec x * [sec x + tan x] / [sec x + tan x] dx integrating u du = u^2/2 = [ln (sec x + tan x)]^2 / 2 + C
Nettet∫ sec x d x = ∫ 1 cos x d x ; Now substituting u = cos x then it follows d u = − sin x d x = − 1 − u 2 d x. Hence: ∫ sec x d x = − ∫ 1 u ( 1 − u 2) d u This integral is an elliptic integral. Share Cite Follow edited Mar 1, 2015 at 17:59 Michael Hardy 1 answered Mar 1, 2015 at 17:56 kryomaxim 2,824 1 12 26 Add a comment
Nettet∫ sec x d x = log sec x + tan x + C. (Here the absolute value signs simply account for the possibility that you're integrating over an interval on which sec x + tan x < 0, and you can justify this formula by using the identities sec ( x + π) = − sec x and tan ( x + π) = tan x .) Share Cite Follow edited Oct 15, 2014 at 6:53 spray grease in a canNettet-, 视频播放量 56、弹幕量 0、点赞数 1、投硬币枚数 0、收藏人数 0、转发人数 0, 视频作者 四十大盗2765, 作者简介 这个人懒死了,什么都没有写,相关视频:裴礼文例1.1.1反函数,自用函数图像对称性,x前加负号,y前加负号,SAS自用12,proc sql生成数据集,自用,数分〔coskx 和sinkx n项求和的化法〕积 ... spray-grease-ycNettet17. jan. 2024 · I attempted this integral, and I got a wildly different answer from wolframalpha, so I couldn't get a proper confirmation whether or not the answer I got is correct. To simplify this integral, first I recalled somewhere from the back of my head that: $$\sec x-\tan x=\tan {x\over 2}$$ spray grass seed service near meNettetHere are some examples illustrating how to ask for an integral using plain English. integrate x/ (x-1) integrate x sin (x^2) integrate x sqrt (1-sqrt (x)) integrate x/ (x+1)^3 from 0 to infinity. integrate 1/ (cos (x)+2) from 0 to 2pi. integrate x^2 sin y dx dy, x=0 to 1, y=0 to pi. View more examples ». shenzhen samkoon technology corporation ltdNettet7. sep. 2024 · In this section we look at how to integrate a variety of products of trigonometric functions. These integrals are called trigonometric integrals. They are an important part of the integration technique called trigonometric substitution, which is featured in Trigonometric Substitution. shenzhen samgle technology co. ltdNettetVerified by Toppr. Correct option is D) ∫e secx(secxtanxf(x)+(secxtanx+sec 2x)dx=e secxf(x)+C. Differentiating both sides w,r.t x. e secx(secxtanxf(x)+(secxtanx+sec 2x)=e secx.secxtanxf(x)+e secx.f(x) f(x)=sec 2x+tanxsecx⇒f(x)=tanx+secx+c. Solve any question of Integrals with:-. Patterns of problems. >. shenzhen salubris pharmaceuticals co. ltdNettetAnswer: ∫xe -x dx = -e -x (x + 1) + C, where C is the constant of integration. Example 2: Evaluate the integral of xe^ (x^2), that is, xe x2. Solution: To find the integral of xe x2, we will use the substitution method of integration. Assume x 2 = u, then differentiating both sides, we have 2x dx = du ⇒ xdx = du/2. shenzhen salubris pharmaceuticals co ltd