Question

To evaluate the double integral \(\int_0^8\left(\int\limits_{y/2}^{(y/2)+1}\left(\frac{2x-y}{2}\right)dx\right)dy\), we make the substitution \(u=\frac{2x-y}{2}\)and \(v=\frac{y}{2}\). The integral will reduce to

• A. \(\int_0^4(\int_0^22udu)dv\)
• B. \(\int_0^4(\int_0^12udu)dv\)
• C. \(\int_0^4(\int_0^1udu)dv\)
• D. \(\int_0^4(\int_0^{21}2udu)dv\)

Answer 1

The Correct Option is B

The correct answer is(B): \(\int_0^4(\int_0^12udu)dv\)