∫ ((sin(2x))/((1 − x)^3 )) dx


Question and Answers Forum

All Questions Topic List
Integration Questions
Previous in All Question Next in All Question
Previous in Integration Next in Integration
Question Number 128073 by I want to learn more last updated on 04/Jan/21

$\int \frac{\sin (2 x)}{{(1 - x)}^{3}} dx$
	Answered by mindispower last updated on 04/Jan/21

	$\Leftrightarrow I m \int \frac{e^{2 i x}}{a - x} d x$ $a - x = y$ $\Leftrightarrow I m - \int \frac{e^{2 i (a - y)}}{y} d y$ $= - I m e^{2 i a} \int \frac{e^{- 2 i y}}{y} d y$ $= - I m . e^{2 i a} \int \frac{e^{- 2 i y}}{- 2 i . y} . d (- 2 i y)$ $= - I m . e^{2 i a} . E_{i} (- 2 i y)$ $E_{i} (- 2 i y)$ $t a c k \partial_{a}^{2} ∣_{a = 1}$ $E_{i} = e x p i n t e g r a l : \int \frac{e^{x}}{x} d x = E_{i} (x) + c$
	Commented by I want to learn more last updated on 04/Jan/21

	$Thanks sir .$
	Commented by mindispower last updated on 04/Jan/21

	$w i t h e p l e a s u r s i r$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum