Level:
Project ID:
1103068303
Accepted:
1
Clonable:
0
Easy:
1
Which of the following formulas will not give the volume of the solid created by the rotation of the red area about the \( x \)-axis (see the picture)?
\( \pi\cdot\int\limits_{\frac{\pi}4}^{\frac{3\pi}4}\sin x\,\mathrm{d}x \)
\( \pi\cdot\int\limits_{\frac{\pi}4}^{\frac{3\pi}4}\sin^2x\,\mathrm{d}x \)
\( 2\pi\cdot\int\limits_{\frac{\pi}2}^{\frac{3\pi}4}\sin^2x\,\mathrm{d}x \)
\( \pi\cdot\int\limits_{\frac{9\pi}4}^{\frac{11\pi}4}\sin^2x\,\mathrm{d}x \)