List of top Mathematics Questions on Area under Simple Curves asked in COMEDK UGET

If the area under the curve \( y=\sqrt{a^2-x^2} \) included between the lines \( x=0 \) and \( x=a \) is 4 sq units. Then the value of \( a \) is

Area of the region bounded by the curve \( y = \cos x \) between \( x = -\frac{\pi}{2} \) and \( x = \pi \) is ----------------

Area of the region bounded by the curve \( y = \sin\left(\frac{x}{2}\right) \) between \( -4\pi \) and \( 0 \) is