JEE PYQ: Area Under Curves Question 8
Question 8 - 2021 (25 Feb Shift 1)
The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area $A$. Then $A^4$ is equal to ____.
Type: Numerical
Show Answer
Answer: 64
Solution
$A = \int_{\pi/4}^{5\pi/4} (\sin x - \cos x),dx = 2\sqrt{2}$. $A^4 = (2\sqrt{2})^4 = 64$.