Let t=sin(2x). Then, we need to find dt:dt=2cos(2x)dx⇒dt2=cos(2x)dx Step 2: Rewrite the IntegralNow, we can rewrite the integral in terms of t:∫√sin(2x)cos(2x)dx=∫√t⋅dt2This simplifies to:12∫√tdt Step 3: IntegrateNow we can integrate √t:∫√tdt=∫t1/2dt=t3...
Evaluate the indefinite integral of ( x^4 + 3x^3 + sqrt(2x+6) ) dx Evaluate the indefinite integral of sin^3(2x)(cos^4(2x)) dx Evaluate the indefinite integral. \int \tan^3 (x) \sec^4 (x) dx Evaluate the indefinite integral. \int x(2 - x^2) dx Evaluate the indefinite in...
2elpha2 第一个注意到分母可以变成【3+cos(2x)】/2而正好sin(2x)dx=-dcos(2x)/2题目就转化为-∫dcos(2x)/【3+cos(2x)】 2022-01-23 12:134回复 晓之车高山老师 其实up表达的意思就是,被积函数某个地方稍有改动,对应不定积分表达式就可能有很大的变化,甚至完全不同 2022-01-24 03:072回复 QNのstar...
Answer to: Evaluate the integral. Integral of cos^2 x sin 2x dx. By signing up, you'll get thousands of step-by-step solutions to your homework...
View Solution Integrate the functionssinxsin2xsin3x View Solution Integrate the functionxlog2x View Solution Integrate the functionsx3√1−x8 Integrate the functionx2logx View Solution Integrate the functionx2ex View Solution Integrate the functionssin3xcot4x ...
cos³x略掉一个cosx,把cosx翻上去:∫(sec²x─1)secxdx直接写出答案;1/2 secx tanx+1/2 ln(sex+tanx)─ln(secx+tanx) +c再化解:略。 CLEVELAND37 实数 1 茹翊神谕者 幂级数 7 简单计算一下即可,答案如图所示 你的眼神唯美 L积分 15 ...,敬请摆渡一下integralCalculator。,ic比symbolab和...
7.1. INDEFINITE INTEGRAL 283are evaluated using the formulassin α cos β =12[sin(α + β)+sin(α–β)],cos α cos β =12[cos(α + β)+cos(α–β)],sin α ... sin(α β)sin(α–β) 被引量: 0发表: 0年 Math 220 February 5 I. Determine the values of a for which lim...
＝（1/4）［2x/√（1＋x^2）］/［（1＋x^2－x^2）/（1＋x^2）］＋（1/4）ln［｜1＋x/√（1＋x^2）｜/｜1－x/√（1＋x^2）｜］＋C ＝（1/2）x√（1＋x^2）＋（1/4）ln｜［√（1＋x^2）＋x］/［√（1＋x^2）－x］｜＋C ＝（1/2）x√（1＋x^2）＋（1/...
Add a constant to the solution=−x1cos(xt)+C Graph Plotting:y=−x1cos(xt)+Cassumingt=1C=2 Sorry, your browser does not support this application Enter your problem Popular Examples d/(d{x)}(sqrt({x)+{y}+{z}})dxd(x+y+z)integral of (2x^3+6x^2+7x+4)/(x...
$\int\frac{a^2\sin^2x+b^2\cos^2x}{a^4\sin^2x+b^4\cos^2x}dx$ $\int\frac{a^2\tan^2x+b^2}{a^4\tan^2x+b^4}dx$ $\int\frac{1}{b^2}\frac{\frac{a^2}{b^2}\tan^2x+1}{\frac{a^4}{b^4}\tan^2x+1}dx$ I do not know how to solve it further. integration Sh...