Question

If a function $f\left( x ight)$ satisfies $f'\left( x ight) = g\left( x ight)$ Then, the value of $\mathop \smallint 
olimits_a^b \,\,f\left( x ight)\,\,g\,\,\left( x ight)\,\,dx$ is

Accepted Answer

$\frac{1}{2}\,\,\left[ {{{\left( {\,f\left( b \right)} \right)}^2}\,\, - \,\,{{\left( {\,F\left( a \right)} \right)}^2}} \right]$

Answer

$\frac{1}{2}\,\,\left[ {{{\left( {\,f\left( b \right)} \right)}^2}\,\, + \,\,{{\left( {\,f\left( a \right)} \right)}^2}} \right]$

Answer

$\frac{1}{2}\,\,{\left[ {\,f\left( b \right)\,\, - \,\,f\left( a \right)} \right]^2}$

Answer

None of these

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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