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Phrases Definite Integration PYQ

Phrases PYQ
If  then x =





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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

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





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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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Phrases 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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Phrases 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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Phrases PYQ
Let be defined by . Find 





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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

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Phrases PYQ
If  and , then the value of  is







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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

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Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

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Phrases PYQ
The value of  is





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Phrases Previous Year PYQPhrases NIMCET 2017 PYQ

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





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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

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Phrases PYQ
The value of  depends on the





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





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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