Question

If $\frac{d}{{dx}}\,\,f\left( x \right) = g\left( x \right)$ for $a \le x \le b$ then, $\mathop \smallint \limits_a^b \,f\left( x \right)\,\,g\,\,\left( x \right)\,\,dx$ equals

Accepted Answer

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

Answer

$f\left( b \right)\,\, - \,\,f\left( a \right)$

Answer

$g\left( b \right)\,\, - \,\,g\left( a \right)$

Answer

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

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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