What is integration by parts rule? How does ILATE rule come?

What is integration by parts rule how it comes ILATE rule

Statement 1: int(dx)/(x^(3)sqrt(1+x^(4)))=-(1)/(2)sqrt(1+(1)/(x^(4)))+C Statement 2: For integration by parts,we have to follow ILATE rule

Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement 2: For integration by parts, we have to follow ILATE rule. Which of the following Statements is/are correct ?

Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement 2: For integration by parts, we have to follow ILATE rule. Which of the following Statements is/are correct ?

Integration by Substitution and By parts | ILATE Formula

What is octet rule? How do you appreciate role of the 'octet rule' in explaining the chemical properties of elements ?

Integration By parts : ILATE || How to judge u & v || Successive Integration || Important Questions OF IBP