JEE PYQ: Area Under Curves Question 26
Question 26 - 2019 (10 Apr Shift 2)
The area (in sq. units) of the region bounded by the curves $y = 2^x$ and $y = |x+1|$, in the first quadrant is:
(1) $\log_e 2 + \frac{3}{2}$
(2) $\frac{3}{2}$
(3) $\frac{1}{2}$
(4) $\frac{3}{2} - \frac{1}{\log_e 2}$
Show Answer
Answer: (4) $\frac{3}{2} - \frac{1}{\log_e 2}$
Solution
Area $= \int_0^1 [(x+1) - 2^x],dx = \frac{3}{2} - \frac{1}{\ln 2}$.
BETA
