Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
  • MCA NIMCET
    Previous Year Questions

MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET Definite Integration PYQ

MCA NIMCET PYQ 2022
If $a{\lt}b$ then $\int ^b_a\Bigg{(}|x-a|+|x-b|\Bigg{)}dx$ is equal to





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2022 PYQ

Solution

MCA NIMCET PYQ 2024
Which of the following is TRUE?
A. If $f$ is continuous on $[a,b]$, then $\int ^b_axf(x)\mathrm{d}x=x\int ^b_af(x)\mathrm{d}x$
B. $\int ^3_0{e}^{{x}^2}dx=\int ^5_0e^{{x}^2}dx+{\int ^5_3e}^{{x}^2}dx$
C. If $f$ is continuous on $[a,b]$, then $\frac{d}{\mathrm{d}x}\Bigg{(}\int ^b_af(x)dx\Bigg{)}=f(x)$
D. Both (a) and (b)





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2024 PYQ

Solution

MCA NIMCET PYQ 2024
If for non-zero x, $cf(x)+df\Bigg{(}\frac{1}{x}\Bigg{)}=|\log |x||+3,$ where $c\ne 0$, then $\int ^e_1f(x)dx=$





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2024 PYQ

Solution

MCA NIMCET PYQ 2018
Let be defined by . Find 





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

MCA NIMCET PYQ 2018
If  and , then the value of  is







Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

MCA NIMCET PYQ 2014
The value of $\int_{0}^{\pi/4} log(1+tanx)dx$ is equal to:





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

Solution

MCA NIMCET PYQ 2014
If [x] represents the greatest integer not exceeding x, then $\int_{0}^{9} [x] dx $ is





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

Solution

MCA NIMCET PYQ 2018
Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

MCA NIMCET PYQ 2017
The value of  is





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2017 PYQ

Solution

MCA NIMCET PYQ 2015
The value of $\int_{-\pi/3}^{\pi/3} \frac{x sinx}{cos^{2}x}dx$





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

Solution

MCA NIMCET PYQ 2020
If  where n is a positive integer, then the relation between In and In-1 is





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

Solution

MCA NIMCET PYQ 2020
The value of  depends on the





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

Solution

MCA NIMCET PYQ 2015
$\int_0^\pi [cotx]dx$ where [.] denotes the greatest integer function, is equal to





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

Solution

MCA NIMCET PYQ 2023
The value of $\int ^{\pi/3}_{-\pi/3}\frac{x\sin x}{{\cos }^2x}dx$ is





Go to Discussion
MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2023 PYQ

Solution


MCA NIMCET

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

MCA NIMCET

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More
Ask Your Question or Put Your Review.