The value of the integral $\displaystyle \int_{0}^{1} x\cot^{-1}\left(1 - x^{2} + x^{4}\right),dx$ is:
Next 10 Questions — JEE Main 2019 (9 April Evening Shift)
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The value of $\sin 10^{\circ},\sin 30^{\circ},\sin 50^{\circ},\sin 70^{\circ}$ is:
Topic: JEE Main 2019 (9 April Evening Shift)
Let $z\in\mathbb{C}$ be such that $|z|
Topic: JEE Main 2019 (9 April Evening Shift)
If $\cos x{{dy} \over {dx}} - y\sin x = 6x$, (0 < x < ${\pi \over 2}$)
and $y\left( {{\pi \over 3}} \right)$ = …
Topic: JEE Main 2019 (9 April Evening Shift)
If the sum and product of the first three terms in an A.P. are $33$ and $1155$, respectively, then a value of its $11^{…
Topic: JEE Main 2019 (9 April Evening Shift)
If the function $f(x) = \left\{ {\matrix{
{a|\pi - x| + 1,x \le 5} \cr
{b|x - \pi | + 3,x > 5} \cr
} } …
Topic: JEE Main 2019 (9 April Evening Shift)
The area (in sq. units) of the region
$A={(x,y):\dfrac{y^{2}}{2}\le x\le y+4}$ is:
Topic: JEE Main 2019 (9 April Evening Shift)
The mean and the median of the following ten numbers in increasing order $10,22,26,29,34,x,42,67,70,y$ are $42$ and $35…
Topic: JEE Main 2019 (9 April Evening Shift)
A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
