
Integration by parts
Integration by parts
Last updated at Dec. 16, 2024 by Teachoo
Transcript
Ex7.6, 6 𝑥2 log𝑥 𝑥2 log𝑥 𝑑𝑥 Hence, by ILATE First function :- 𝑓 𝑥= log𝑥 Second function :- g 𝑥= 𝑥2 𝑥2 log 𝑥 𝑑𝑥 = log𝑥 𝑥2𝑑𝑥 = log𝑥 𝑥2𝑑𝑥− 𝑑 log𝑥𝑑𝑥 𝑥2.𝑑𝑥𝑑𝑥 = log𝑥 𝑥33− 1𝑥 . 𝑥33. 𝑑𝑥 = 𝑥33 log𝑥− 𝑥23 𝑑𝑥 = 𝑥33 log𝑥− 13 𝑥2 𝑑𝑥 = 𝑥33 log𝑥− 13 𝑥33+𝐶 = 𝒙𝟑𝟑 𝒍𝒐𝒈𝒙− 𝒙𝟑𝟗 +𝑪