engineering recuitment GATE EE 2023-24 Test Series Mathematics Integral Calculus Application of Integrals
Find the area of the region (in sq. units) bounded by the curve y = e-2x and x-axis for x ∈ (-1, 1)
1
\(\frac{{{e^{2x}}}}{2}\)
2
\( \frac{{{{\rm{e}}^{2{}}}{\rm{\;}} + {\rm{\;}}{{\rm{e}}^{ - 2{}}}}}{2}\)
3
\(\frac{{{e^{2x}} + {e^{ - 2x}}}}{2}\)
4
\( \frac{{{{\rm{e}}^{2{}}}{\rm{\;}} - {\rm{\;}}{{\rm{e}}^{ - 2{}}}}}{2}\)