Volume of solid formed by rotating y=exy = e^xy=ex, 0≤x≤10 \le x \le 10≤x≤1, about the xxx-axis:Aπ(e2−1)/2\pi (e^2 - 1)/2π(e2−1)/2check_circleB2π2\pi2πCπ(e−1)\pi (e - 1)π(e−1)Dπe2\pi e^2πe2ExplanationV=π∫01e2x dx=π(e2x/2)∣01=π(e2−1)/2V = \pi\int_0^1 e^{2x}\,dx = \pi(e^{2x}/2)\big|_0^1 = \pi(e^2 - 1)/2V=π∫01e2xdx=π(e2x/2)01=π(e2−1)/2.