The value of $\cos\, 120^{\circ}$ is .....

$\int\limits_0^{\frac{\pi }{4}} {\sin 2x} \,dx$ is equal to

As $\theta$ increases from $0^{\circ}$ to $90^{\circ}$,the value of $\cos \theta$ :-

$\int \frac{dx}{{(2ax - x^2)}^{1/2}} = a^n \sin^{-1} \left( \frac{x}{a} - 1 \right)$. In this formula,$n =$ . . . . . . .

If $y = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + .....\infty$,then $\frac{dy}{dx} = $

The equation of a curve is given as $y = x^2 - 3x + 2$. The curve intersects the $x$-axis at