id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-3842	Mohammed, Maysaa Jalil; Ashoor, Noor Ebadi; Madaki, Umar Yusuf 	New lifetime Shanker Weibull distribution: Structure and Properties	2025	14	.pdf	application/pdf	4620	309	75	⇨ 𝑑𝑢 = 𝛽𝑑𝑥 𝑑𝑣 = (𝛽 + 𝜆𝑥𝜆−1)𝑒−(𝛽𝑥+𝑥𝜆)𝑑𝑥 ⇨ 𝑣 = − 𝑒−(𝛽𝑥+𝑥𝜆) ∫ 𝑓(𝑥) 𝑑𝑥 = 𝐿𝑖𝑚 𝑦→∞ 1 𝛽2 + 1 ((−(𝛽𝑥 + 𝛽2 + 1)𝑒−(𝛽𝑥+𝑥𝜆)) 𝑦 | 0 + ∫ 𝛽 𝑒−(𝛽𝑥+𝑥𝜆) 𝑑𝑥 𝑦 0 ∞ 0 − ∫ 𝛽 𝑒−(𝛽𝑥+𝑥𝜆)𝑑𝑥 𝑦 0 ) dx y 0 − ∫ 𝛽 𝑒−(𝛽𝑥+𝑥𝜆)	cache/iajs-3842.pdf	txt/iajs-3842.txt
