nimcet Definite Integration Previous Year Question Paper and Solution with PDF

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Previous Year Questions
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nimcet Previous Year Questions (PYQs)

nimcet Definite Integration PYQ

Qus : 1nimcet PYQ

If

then x =

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

Solution

Qus : 2nimcet PYQ

Not Available

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

Solution

Qus : 3nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2022 PYQ

Solution

Qus : 4nimcet 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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nimcet Previous Year PYQnimcet NIMCET 2024 PYQ

Solution

Qus : 5nimcet 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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nimcet Previous Year PYQnimcet NIMCET 2024 PYQ

Solution

Qus : 6nimcet PYQ

is equal to

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nimcet Previous Year PYQnimcet NIMCET 2018 PYQ

Solution

Qus : 7nimcet PYQ

Let

be defined by

. Find

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nimcet Previous Year PYQnimcet NIMCET 2018 PYQ

Solution

Qus : 8nimcet PYQ

If

and

, then the value of

is

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nimcet Previous Year PYQnimcet NIMCET 2018 PYQ

Solution

Qus : 9nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2014 PYQ

Solution

Qus : 10nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2014 PYQ

Solution

Qus : 11nimcet 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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nimcet Previous Year PYQnimcet NIMCET 2018 PYQ

Solution

Qus : 12nimcet PYQ

The value of

is

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nimcet Previous Year PYQnimcet NIMCET 2017 PYQ

Solution

Qus : 13nimcet PYQ

Evaluate

dx

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nimcet Previous Year PYQnimcet NIMCET 2017 PYQ

Solution

Using Property

Qus : 14nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2015 PYQ

Solution

Qus : 15nimcet PYQ

If

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

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nimcet Previous Year PYQnimcet NIMCET 2020 PYQ

Solution

Qus : 16nimcet PYQ

The value of

depends on the

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nimcet Previous Year PYQnimcet NIMCET 2020 PYQ

Solution

Qus : 17nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2015 PYQ

Solution

Qus : 18nimcet PYQ

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

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nimcet Previous Year PYQnimcet NIMCET 2023 PYQ

Solution

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