Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The number of elements in the set
\( S = \{ x : x \in [0,100], \int_{0}^{x} t^2 \sin(x-t)\,dt = x^2 \} \)
is ______.
Solution
$\int_0^x t^2 \sin(x - t),dt = x^2$
Use integration by parts
$-x^2\cos x + x^2 + 2x\cos x - 2x\sin x - x^2\cos x + 2x\sin x + 2\cos x - 2 = x$
$\Rightarrow \cos x = 1$
$\Rightarrow x = 0, 2\pi, 4\pi, \ldots, 30\pi$
Total elements $= 16$
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
