Find the integral of 2cos^5(2x) sin(2x) dx. Integrate (1 - sinx)/(cosx) Integrate \sqrt{(2((sin(x))^2 + 50((cos(x))^2 - 10 sin(x)cos(x))} Integrate the function: cos x/sqrt(4 - sin^2 x) Integrate by any method and show the steps. ((sin x + cos x)/ sin...
Integrate \frac {sinx}{(sinx+cosx)} dx Integrate (6x - \frac {2}{(3x^2-2x)^5} )dx Integrate: \frac {(x^2+1)}{((x-3)(x-2)^2)} dx Solve the following integral: \int_0^{\pi/2} \frac d{dx} (\sin \frac x2 \cos \frac x3)\,dx Evaluate the following int...
(1)xe^x-e^x+c(2)-xcosx+sinx+c(3)1/3x^3lnx-1/9x^3-c(4)-1/3πccos3x+1/9sin3x-c(5)1/2xsin2x⋅|1/4cos2x|c(6)xtanx+ln(cosx)+c(7)xlnx-x+c(8)x(lnx)^2-2xlnx+2x+c(9)αarctana1/2ln(a^2)1e 结果一 题目 Use integration by parts to find the integral of...
举例说明 例 1 求解一令, duvvu xdxxcos cosxu dvdxxdx 221 xdxxcos xdxx2xx2sincos22 显然 vu u , 选择不当 积分更难进行. xdx 2xxe 二令, x dv xxd sin cosxdsindx 例 2 求xdx uxcos x xdxxsinsin .cossinCxxx 解 设22122,xxx dve12dxd12e 于是12212 ,,xdudx ve 14 则 2222xxxxxxe...
Misal u=e^x dan dv=sinxdxDengan demikian, diperoleh du=e^xdx dan v=-cosx.∫_0^1alne+x+1/(e^x+2x+e)dx+cosdx+sinxdxBentuk integral tersebut kita teruskan untuk menyelesaikannya.Kita misalkan lagi u=e^x dan dv=cosxdx sehingga diperoleh du=e^xdx dan v=sinx.∴(-1,+∞)Ternyat...
Evaluate the indefinite integral. \int \frac{cosx}{sin^2x} dx Evaluate the indefinite integral. \int_0^\frac{1}{2} \frac{x^2}{(1-x^2)^\frac{1}{2 Evaluate the indefinite integral ((1+x)/(1+x^2))dx Evaluate the indefinite integral. \int \frac{2x}{x^4 + 1} dx ...
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
Consider the integral I=int(0)^(2pi)(dx)/(5-2cosx) Making the substi... 01:23 Evaluate the following : int(0)^(pi)(dx)/(1+sinx) 01:59 Evaluate: int1^oo(e^(x+1)+e^(3-1))^(-1)dx 03:06 Evaluate: int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)sqrt(1-x^2))dx...
If the integral is given in the form∫−aaf(x)dx, then: (a)∫−aaf(x)dx=2∫0af(x)dx,if,f(−x)=f(x),even function (b)∫−aaf(x)dx=0,if,f(−x)=−f(x),odd function. Also: sin−θ=−sinθcos−θ=cosθ ...
F(x) = axsinx - (x² - b)cosx an antiderivative off(x)= x²sinx? a=2 b=2 Evaluate this trigonometric integral: ∫ (sin x) / (1-sin² x) dx. sec x + C The functions:F(x)=x²/(x²+1)andG(x)=(3x²+2)/(x²+1)are antiderivatives of the same function ...