The Gateway to Computer Science Excellence
0 votes
69 views
$\int_{a}^{x} \frac{sint}{t} dt$ (x > 0), then f(x) has _________________.

(A) a maximum at x = $n\pi$ where n is even

(B) a minimum at x = $n\pi$ where n is odd

(C) a maximum at x = $n\pi$ where n is odd

(D) a minimum at x = $\frac{n\pi}{2}$ where n is odd.
in Calculus by Boss (18.8k points) | 69 views
0
0
Recheck the variables once either in terms of X or t... f(x) =?
0

@arvin

No, its fully correct as given in the ACE Full Test.

0
Yes sorry I didn't saw the #tag...
0
it can be solved by laplace transformation, which is not in GATE syllabus

1 Answer

0 votes
You can solve this question using the fundamental theorem of calculus which states tha$d/dx \int_{a}^{x}f(t)dt = f(x)$. . From this you can get f(x) and one of the answers in the options can be obtained after some analysis ofc. Please refer to the fundamental theorem of calculus to understand this.
by (21 points)
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,741 questions
57,251 answers
198,047 comments
104,673 users