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NIMCET Previous Year Questions (PYQs)

NIMCET Definite Integration PYQ

NIMCET PYQ
If  then x =





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

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NIMCET 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

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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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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ
Let be defined by . Find 





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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ
If  and , then the value of  is







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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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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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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ
The value of  is





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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NIMCET PYQ
Evaluate  dx





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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Using Property





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





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

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NIMCET PYQ
The value of  depends on the





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

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NIMCET 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

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