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List of top Mathematics Questions on integral asked in COMEDK UGET
The integral \( \int \frac{2^x}{\sqrt{1 - 4^x}} \, dx \) is equal to:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
integral
The integral \( \int_{\pi/2}^{-\pi/2} \sin x \, dx \) is:
COMEDK UGET - 2021
COMEDK UGET
Mathematics
integral
If
$\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c , $
then
$a$
=
COMEDK UGET - 2015
COMEDK UGET
Mathematics
integral
$\int\limits \frac{x^3 -1}{x^3 + x} dx = $
COMEDK UGET - 2015
COMEDK UGET
Mathematics
integral
$ \int\limits_1^e \log \, x \, dx = $
COMEDK UGET - 2015
COMEDK UGET
Mathematics
integral
The interval I such that
$\int^1_0\frac{dx}{\sqrt{1+x^4}}\in \,I$
is given by
COMEDK UGET - 2014
COMEDK UGET
Mathematics
integral
The value of
$\int^2_{-2}(ax^3+bx +c)dx$
depends on the
COMEDK UGET - 2014
COMEDK UGET
Mathematics
integral
$\int^{\frac{\pi}{2}}_0 \log(\tan\,x)dx=$
COMEDK UGET - 2014
COMEDK UGET
Mathematics
integral
The solution of $\left(x+y\right)^{2} \left(x \frac{dy}{dx}+y\right)=xy \left(1 +\frac{dy}{dx}\right) $ is
COMEDK UGET - 2014
COMEDK UGET
Mathematics
integral
$\int e^{x}\left(\cos x -\sin x\right)dx $
is equal to
COMEDK UGET - 2014
COMEDK UGET
Mathematics
integral
If
$\int f\left(x\right) dx =\Psi\left(x\right)$
then
$ \int x^{5} f\left(x^{3}\right)dx $
is equal to
COMEDK UGET - 2013
COMEDK UGET
Mathematics
integral
The intercepts on
$x-axis$
made by tangents to the curve,
$y = \displaystyle\int_0^x |t| dt, x \in R$
, which are parallel to the line
$y = 2x$
, are equal to
COMEDK UGET - 2013
COMEDK UGET
Mathematics
integral
If
$ \int \frac{xe^{x}}{\left(1+x\right)^{2}} dx = e^{x} f\left(x\right) +c, $
then
$f(x)$
is equal to
COMEDK UGET - 2012
COMEDK UGET
Mathematics
integral
Let
$f (x)$
and
$g(x)$
be differentiable functions on (0, 2] such that
$f"(x) - g"(x) = 0, f'(1) = 2g'(1) = 4, f(2) = 3g(2) = 9.$
Then
$f (x)- g(x)$
at
$ x = 3/2$
is
COMEDK UGET - 2011
COMEDK UGET
Mathematics
integral
$ \int\limits_0^{\pi /8} \tan^2 (2x) dx = $
COMEDK UGET - 2011
COMEDK UGET
Mathematics
integral
$\int\limits_{-1/2}^{1/2} \cos x\log\left(\frac{1+x}{1-x}\right) dx = $
COMEDK UGET - 2011
COMEDK UGET
Mathematics
integral
$\int\limits_{1}^{e^{\frac{17}{2}}} \frac{\, \pi \cos (\pi \log x)}{x} dx =$
COMEDK UGET - 2010
COMEDK UGET
Mathematics
integral
$\int \frac{x^{2}+1}{x^{4}+1}dx $
COMEDK UGET - 2009
COMEDK UGET
Mathematics
integral
$\int e^{x} \left\{\frac{1+\sin x \cos x}{\cos^{2} x}\right\} dx = $
COMEDK UGET - 2009
COMEDK UGET
Mathematics
integral
$\int \frac{2^{x+1} - 5^{x-1}}{10^{x}}dx = $
COMEDK UGET - 2008
COMEDK UGET
Mathematics
integral
If
$\int \frac{1}{x+x^{5}}dx =f\left(x\right)+c , $
then
$\int \frac{x^{4}}{x+x^{5}} dx = $
COMEDK UGET - 2008
COMEDK UGET
Mathematics
integral
If
$[x]$
denotes the greatest integer function, then
$\int\limits_{1}^{4} \left(\left[x\right] -1\right)\left(\left[x\right] -2\right)\left(\left[x\right] -3\right)\left(\left[x\right] -4\right)dx = $
COMEDK UGET - 2008
COMEDK UGET
Mathematics
integral