1. Tardigrade
  2. Question
  3. Mathematics
  4. Find the absolute value of k(k ∈ R) for which f(k)=∫ limits-ππ(x+1+k sin x)2 d x is minimum.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Find the absolute value of $k(k \in R)$ for which $f(k)=\int\limits_{-\pi}^\pi(x+1+k \sin x)^2 d x$ is minimum.

Application of Derivatives

Solution:

Correct answer is '2'