MCA NIMCET Definite Integration Previous Year Question Paper and Solution with PDF

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Previous Year Questions
MCA NIMCET

MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET Definite Integration PYQ

Qus : 1MCA NIMCET PYQ

If

then x =

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2019 PYQ

Solution

Qus : 2MCA NIMCET PYQ

Not Available

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2019 PYQ

Solution

Qus : 3MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2022 PYQ

Solution

Qus : 4MCA NIMCET PYQ

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)

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2024 PYQ

Solution

Qus : 5MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2024 PYQ

Solution

Qus : 6MCA NIMCET PYQ

is equal to

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

Qus : 7MCA NIMCET PYQ

Let

be defined by

. Find

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

Qus : 8MCA NIMCET PYQ

If

and

, then the value of

is

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

Qus : 9MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 10MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2014 PYQ

Solution

Qus : 11MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

Qus : 12MCA NIMCET PYQ

The value of

is

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2017 PYQ

Solution

Qus : 13MCA NIMCET PYQ

Evaluate

dx

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2017 PYQ

Solution

Using Property

Qus : 14MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

Solution

Qus : 15MCA NIMCET PYQ

If

where n is a positive integer, then the relation between I_n and I_n-1 is

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

Solution

Qus : 16MCA NIMCET PYQ

The value of

depends on the

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

Solution

Qus : 17MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

Solution

Qus : 18MCA NIMCET PYQ

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

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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2023 PYQ

Solution

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