NIMCET Definite Integration Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET Definite Integration PYQ

Qus : 1

then x =

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Qus : 2

Not Available

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Qus : 3

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

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Qus : 4

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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Qus : 5

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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Qus : 6

is equal to

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Qus : 7

Let

be defined by

. Find

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Qus : 8

and

, then the value of

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Qus : 9

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

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Qus : 10

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

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Qus : 11

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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Qus : 12

The value of

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Qus : 13

Evaluate

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Using Property

Qus : 14

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

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Qus : 15

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

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Qus : 16

The value of

depends on the

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Qus : 17

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

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Qus : 18

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

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Solution

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NIMCET Previous Year Questions (PYQs)

NIMCET Definite Integration PYQ

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