Evaluate the integral \int [0.3-0.8] cosx-ln(9sinx)dx Evaluate the integral. (Use C for the constant of integration.) integral of (x^2 + 6 x) cos x dx Evaluate the integral: 0 pi sin(x) e cos(x) dx Evaluate the integral. \int_{0}^{5}3e^x+4 \cos...
Use integration by parts to find the integral of:[Hint: In (7) write lnx as 1lnx and in (9) write arctanxdn as 1arctanax.](1)xe^x(2)xsinx(3)x^2lnx(4)xsin3x(5)xcos2x(6)xsec^2x(7)lnx(8)(lnx)^2(9)arctanxdn ...
For example, the integral of {eq}\sin{x} {/eq} is {eq}-\cos{x}+C {/eq}, where {eq}C {/eq} is the integral constant.Answer and Explanation: Given: $$y=\cos\left(2\pi\right) $$ The above expression can be simplified as below: $$\begin{align} y &=\cos\left(2\pi-...
We will use u substitution, and some formula of integrals to evaluate the given integral .Answer and Explanation: ∫cos(x)sin2(x)dx sinx=u=>cosxdx=du Substituting these values ∫duu2 {eq...Become a member and unlock all Study Answers Start today. Try it now Create an...
求不定积分Integral of (a*sinx + b*cosx)/(c*sinx + d*cosx) dx(sinx)'=cosx (cosx)'=-sinx,在导数里,是2个非常友好的函数,本题的分子分母结构一样,只是系数不同,可以利用这个条件,用待定系数的方法,将被积函数分解成2个容易积分的函数,求解出答案。, 视频播放量
Also, we will be using the derivative of the tangent trig function. d(tanx)dx=sec2x Answer and Explanation:1 ∫tan(3x)sec2(3x)etan2(3x)dx. First we will perform ausubstitution. {eq}\displaystyle{ u = \tan^23x\du... ...
55. f(x)=sinx,a=0,b=2πf(x)=sinx,a=0,b=2π56. f(x)=cosx,a=0,b=2πf(x)=cosx,a=0,b=2π Show Solution In the following exercises, approximate the average value using Riemann sums L100L100 and R100R100. How does your answer compare with the exact given answer?
2x+3dxAns: 1 10 (2x+3) 5/2 − 1 2 (2x+3) 3/2 +C B−2 Productsofsinesandcosines B39. 2cosxsinxdxAns:sin 2 x+C B40. 2sin3xcos2xdxAns:− 1 5 cos5x−cosx+C B41. 14cos3xcos4xdxAns:sin7x+7sinx+C B42. 8sin3xsinxdxAns:−sin4x+2sin2x+C B43. 4sin 2 xdx...
WhatisthesmallestvalueofNforwhich 1 10 NN UL− Sketchtheareaboundedbythecurvescosyx=,cos2yx= 0=andxπ= Wheredothe2curvesintersect?(Hint: 2 cos22cos1xx=− Findtheboundedarea. Sketchtheareainthexy-planeboundedbythecurvesyx between1x=and2x= ...
An antiderivative of a function f(x) is a function whose derivative is equal to f(x). ... An indefinite integral is an integral written without terminals;