Questions asked
\( V= \)
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Evaluate the integral (by interprecing it as the arta between two curves) \[ \int_{0}^{4}|\sqrt{x+2}-x| d x \]
Evaluate the incegral (by interpeting it as the area between two curves) \[ \int_{-8}^{1}\left|x^{x}-x\right| d x \]
Awer \( = \)
Find the area of the region between the curves \( y=x^{2} \) and \( y=2 /\left(x^{2}+1\right) \). Area between curves \( = \)
Find the area of the region between the curves \( y=x^{3}-x \) and \( y=3 x \). Area between curves =
Find the area of the region between the curves \( y=1+\sqrt{x} \) and \( y=(3+x) / 3 \). Area between curves \( = \)
Find the area of the region enclosed between \( y=2 \sin (x) \) and \( y=3 \cos (x) \) from \( x=0 \) to \( x=0.6 \pi \). Hine Notice that this region consiats of two parts.
Find the ane of the repion encloued by the rwo functions \( y=2 z^{2} \) and \( y=a^{2}+2 \). Aces = 1.
