Inverse is Integral in Maths!
Calculus
Level
3
\(\displaystyle a = \int_0^{1} \arctan (1- x + x^2) \, dx \)
Find the other root of a quadratic polynomial which has one of its roots as \( a \) and has its minimum at \( \ln \sqrt{2} \).
Details and Clarifications:
A number \(p\) is said to be a root of a polynomial \(f(x)\) if \(f(p) = 0\).
\(\displaystyle \arctan p \) is the same as \( \tan^{-1} p \).
\(\displaystyle \ln p \) is the same as \( \log_e p \).
by
Prakkash Manohar