$$\int_{ - \frac{\pi }{4}}^{\frac{\pi }{4}} {\frac{{{e^x}.{{\sec }^2}x\,dx}}{{{e^{2x}} - 1}}} $$ is equal to :
A.
0
B.
2
C.
$$e$$
D.
none of these
Answer :
0
Solution :
Clearly, the integrand is an odd function. So, $$I=0.$$
Releted MCQ Question on Calculus >> Application of Integration
Releted Question 1
The area bounded by the curves $$y = f\left( x \right),$$ the $$x$$-axis and the ordinates $$x = 1$$ and $$x = b$$ is $$\left( {b - 1} \right)\sin \left( {3b + 4} \right).$$ Then $$f\left( x \right)$$ is-