Definite Integration Question 158
Question: What is the area bounded by y = tan x, y = 0 and $ x=\frac{\pi }{4} $ -
Options:
A) $ \ell n2 $ square units
B) $ \frac{\ell n2}{2} $ square units
C) $ 2(\ell n2) $ square units
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Required area $ =\int_0^{\frac{\pi }{4}}{\tan xdx} $
$ =ln| \sec 1 |_0^{\frac{\pi }{4}}=ln\sqrt{2}=\frac{ln2}{2} $
BETA
