اختبار اختيار من متعدد تفاعلي: الأسئلة الموضوعية

أ

$\frac{1408}{15}\pi$

ب

$\frac{512}{15}\pi$

ج

$\frac{384}{5}\pi$

د

$\frac{32}{5}\pi$

أ

$v = \int_0^3 (\frac{6-y}{2})^2 dy$

ب

$v = \int_0^6 \pi(\frac{6-y}{2})^2 dy$

ج

$v = \int_0^3 \pi(\frac{6-y}{2})^2 dy$

د

$v = \int_0^6 (\frac{6-y}{2})^2 dy$

أ

$\frac{1}{5}\pi$

ب

$\frac{1}{2}\pi$

ج

$\frac{1}{6}\pi$

د

$\frac{32}{5}$

أ

$v = \int_2^9 \pi(9 - y)^2 dy$

ب

$v = \int_2^9 \pi\sqrt{9 - y} dy$

ج

$v = \int_2^9 (9 - y)^2 dy$

د

$v = \int_2^9 \pi(9 - y) dy$

أ

$V = \int_0^2 \pi(3) dx - \int_0^2 \pi(3 - (2 - x))^2 dx$

ب

$V = \int_0^2 \pi(3 - (2 - x))^2 dx$

ج

$V = \int_0^2 \pi(3)^2 dx - \int_0^2 \pi(2 - x)^2 dx$

د

$V = \int_0^2 \pi(3)^2 dx - \int_0^2 \pi(3 - (2 - x))^2 dx$

أ

$V = \frac{5\pi}{32}$

ب

$V = \frac{64\sqrt{2}\pi}{3}$

ج

$V = \frac{64\sqrt{3}\pi}{2}$

د

$V = \frac{224\pi}{5}$

أ

$V = \frac{5\pi}{32}$

ب

$V = \frac{64\sqrt{2}\pi}{3}$

ج

$V = \frac{64\sqrt{3}\pi}{2}$

د

$V = \frac{224\pi}{5}$

أ

$V = \frac{5\pi}{32}$

ب

$V = \frac{32\pi}{5}$

ج

$V = \frac{224\pi}{15}$

د

$V = \frac{224\pi}{5}$

أ

$V = \frac{5\pi}{32}$

ب

$V = \frac{32\pi}{5}$

ج

$V = \frac{224\pi}{15}$

د

$V = \frac{224\pi}{5}$

أ

$V = \pi \int_0^1 (y) dy - \pi \int_0^1 y^4 dy$

ب

$V = \pi \int_0^1 (y - y^2)^2 dy$

ج

$V = \pi \int_0^1 (1 - y^2)^2 dy - \pi \int_0^1 (1 - \sqrt{y})^2 dy$

د

$V = \pi \int_0^1 (1 - x^2)^2 dx - \pi \int_0^1 (1 - \sqrt{x})^2 dx$

أ

$V = \pi \int_0^1 (y) dy - \pi \int_0^1 y^4 dy$

ب

$V = \pi \int_0^1 (y - y^2)^2 dy$

ج

$V = \pi \int_0^1 (1 - y^2)^2 dy - \pi \int_0^1 (1 - \sqrt{y})^2 dy$

د

$V = \pi \int_0^1 (1 - x^2)^2 dx - \pi \int_0^1 (1 - \sqrt{x})^2 dx$

أ

$s = \int_0^{\pi/4} \sqrt{1 + \sec^4 x} dx$

ب

$s = \int_0^{\pi/4} (1 + \sec^4 x) dx$

ج

$s = \int_0^{\pi/4} \sqrt{1 + \sec^2 x} dx$

د

$s = \pi \int_0^{\pi/4} \sqrt{1 + \tan^2 x} dx$

أ

$s = \int_0^\pi \sqrt{1 + 4\sin^2(x)} dx$

ب

$s = \int_0^\pi \sqrt{1 + 4\sin(x)} dx$

ج

$s = \int_0^\pi \sqrt{1 + \sin(x)} dx$

د

$s = \int_0^\pi \sqrt{1 + \sin^2(x)} dx$

أ

$s = \int_1^3 (1 + x^2) dx$

ب

$s = \int_1^3 \frac{\sqrt{1 - x^2}}{x} dx$

ج

$s = \pi \int_1^3 \frac{\sqrt{1 + x^2}}{x} dx$

د

$s = \int_1^3 \frac{\sqrt{1 + x^2}}{x} dx$

أ

$s = \int_0^\pi \sqrt{1 + 4\cos^2(2x)} dx$

ب

$s = \int_0^\pi \sqrt{1 + 4\cos(2x)} dx$

ج

$s = \int_0^\pi \sqrt{1 + 4\sin(2x)} dx$

د

$s = \int_0^\pi \sqrt{1 + 4\sin^2(2x)} dx$

أ

$s = \sqrt{26}$

ب

$s = 2\sqrt{26}$

ج

$s = \sqrt{26}\pi$

د

$s = 2\sqrt{26}\pi$

أ

$s = \int_1^3 \sqrt{1 + \ln x^2} dx$

ب

$s = \int_1^3 \sqrt{1 + \frac{1}{x^2}} dx$

ج

$s = \int_1^3 \sqrt{1 + \frac{1}{x}} dx$

د

$s = \int_1^3 (1 + \frac{1}{x^2}) dx$

أ

$\sqrt{10}$

ب

$2\sqrt{10}$

ج

$\sqrt{5}$

د

$2\sqrt{5}$