NIMCET 2011 Question Paper with solutions

© examsiri.com

Question : 45 of 120

Marks: +1, -0

If

f(x)=∫↙{0}↖{x} t \sin t d t

, then

f^{'}(x)

is

$\cos x+x \sin x$
$x \sin x$
$x \cos x$
$x^{2} / 2$

Solution:

Given,

f(x)=∫↙{0}↖{x} t \sin t d t

On differentiating w.r.t.

x

, we get

f^{'}(x)=x \sin x

(by Leibnitz theorem)

© examsiri.com

Go to Question:

Prev Question

Next Question