A) \[a-1+{{(a-1)}^{-2}}\]
B) \[a+{{a}^{-2}}\]
C) \[a-{{a}^{-2}}\]
D) \[{{a}^{2}}+\frac{1}{{{a}^{2}}}\]
Correct Answer: A
Solution :
\[3a\int_{0}^{1}{{{\left( \frac{ax-1}{a-1} \right)}^{2}}\,dx=\frac{3a}{{{(a-1)}^{2}}}}\left[ \frac{{{(ax-1)}^{3}}}{3}\times \frac{1}{a} \right]_{0}^{1}\] \[=\frac{1}{{{(a-1)}^{2}}}[{{(a-1)}^{3}}+1]\] \[=(a-1)+{{(a-1)}^{-2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
