-->

Vector Algebra

Question
CBSEENMA12036083

For x ∈, (0, 5π/2) define f(x). Then f (x) = integral subscript 0 superscript straight x space square root of straight t space sin space straight t space dt has

  • local maximum at π and 2π.

  • local minimum at π and 2π

  • local minimum at π and the local maximum at 2π.

  • local maximum at π and local minimum at 2π.

Solution

D.

local maximum at π and local minimum at 2π.

straight f left parenthesis straight x right parenthesis space equals space integral subscript 0 superscript straight x square root of straight t space sin space straight t space dt
straight f apostrophe left parenthesis straight x right parenthesis space equals space square root of straight x space sin space straight x

local maximum at π
and local minimum at 2π

Some More Questions From Vector Algebra Chapter