Integrating with trig. substitution Homework Statement Integral of dx/[(x2 - 2x + 2)2]Homework Equations Trig substitution rules: for expression sqrt(a2 - x2) make x = asin(t) with -(pi/2) < t < (pi/2) for sqrt(x2 - a2) make x = asec(t) with 0< t < (pi/2) and for...
第一类换元积分法举例(1)(Examples of Integrating by Substitution I(1)) 193 -- 16:07 App 数学归纳法证明不等式(Prove inequalities by mathematical induction) 162 -- 15:08 App 利用双曲三角换元求解积分举例(substition by hyperbolic trig to treat with the integrals) 1517 3 16:17 App 棣莫弗定理...
Homework Statement integrate the following:Homework Equations ∫(x/(x-1)^3The Attempt at a Solution i've tried u-substitution, finding an inverse trig function that matched the formula, and still can't figure out how to solve this problem. u-subtitution for u=x gives the same problem.....
Related Lessons Related Courses Integral of Trig Functions | Sine, Cosine & Examples Inverse Trig Integrals | Formulas, Graphs & Examples Integral & Antiderivative of Cos(2x) | Overview & Examples How to Use Trigonometric Substitution to Solve Integrals Start...
This integration can be done using substitution. The secant & cosecant functions can be integrated using integration by parts.Aug 29, 2012 #9 voko 6,054 391 When you do a definite integral, you get I=[1]ab+I=1−1+I=I Aug
I need to know how to integrate this function: sin(sqrt(x)) I did this: u = sqrt(x) du/dx = 1/(2sqrt(x)) S(sin(sqrt(x))dx) = S(sin(u)*dx*du/dx/(2sqrt(x)) = S(Sin(u)/u du) But then I got stuck: integration by parts won't work, trig substitution is out......
The attempt at a solution involves using a trig substitution or integrating by parts, but the student is unsure of how to proceed due to a lack of familiarity with integrating two variables. Suggestions for further study are also requested. ...
Integrating Trig functions (Namely tan^{2}x) I know that \int \tan^{2}x dx= \int \sec^{2}x-1\ dx = \tan x - x + C but i don't completely understand how this is derived. Because of this lack of comprehension, I have no idea what to do with \int \sec^{4}5x\ dx. I...
Integrating [itex]\frac{\partial f(x,y)}{\partial y(x)}[/itex] with respect to x I don't know how to apply Leibniz's rule for this integrand. I believe there is a substitution to allow me to express this integral differently, but the partial being a function of what we're int...
Integrating e^(-3x) with u-Substitution Homework Statement before we start, i don't know how to do the integral sign, so we'll use [ I need to integrate [ e^(-3x) / 1 + e^(-3x) Homework Equations I've always had trouble with doing integration with e The Attempt at a Solutio...