JEE Main Maths · Integrals

Quotient Rule Differential Recognition

Quotient Rule Differential Recognition (Integrals) was asked once in the 42 JEE Main shifts Lumi analysed, in 2021. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2021
Usual format: Numerical value; Multi-step
Pattern: Gone quiet; asked once so far

How it is asked

Integral recognised as derivative of quotient

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Integrals. Topic: Integration by Substitution, 22 questions over 15 ideas.

The question

Newest first, each with its options and official answer.

18 Mar 2021, Shift 1 · Q83If $f(x)=\int\dfrac{5x^8+7x^6}{(x^2+1+2x^7)^2}\,dx$ , $(x\ge0)$ , $f(0)=0$ and $f(1)=\dfrac{1}{K}$ , then the value of K is __________.HardNumerical value