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sin-2x-1-x-3-dx-




Question Number 128073 by I want to learn more last updated on 04/Jan/21
∫ ((sin(2x))/((1  −  x)^3 ))  dx
sin(2x)(1x)3dx
Answered by mindispower last updated on 04/Jan/21
⇔Im∫(e^(2ix) /(a−x))dx  a−x=y  ⇔Im−∫(e^(2i(a−y)) /y)dy  =−Im e^(2ia) ∫(e^(−2iy) /y)dy  =−Im.e^(2ia) ∫(e^(−2iy) /(−2i.y)).d(−2iy)  =−Im.e^(2ia) .E_i (−2iy)  E_i (−2iy)  tack  ∂_a ^2 ∣_(a=1)   E_i  =exp integral :∫(e^x /x)dx=E_i (x)+c
Ime2ixaxdxax=yIme2i(ay)ydy=Ime2iae2iyydy=Im.e2iae2iy2i.y.d(2iy)=Im.e2ia.Ei(2iy)Ei(2iy)tacka2a=1Ei=expintegral:exxdx=Ei(x)+c
Commented by I want to learn more last updated on 04/Jan/21
Thanks sir.
Thankssir.
Commented by mindispower last updated on 04/Jan/21
withe pleasur sir
withepleasursir

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