The value of $\smallint {e^x}\left( {{x^5} + \,\,5{x^4} + \,\,1} \right)dx$ is

${e^x}\,\,.\,\,{x^5}\,\, + \,\,c$

${e^{x + 1}}\,\,.\,\,{x^5}\,\, + \,\,c$

$5{x^4}\,\,.\,\,{e^x}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int {e^x}\left( {{x^5} + \,\,5{x^4} + \,\,1} \right)dx

View answer and explanation

Correct option: B

{e^x}\,\,.\,\,{x^5}\,\, + \,\,{e^x} + \,\,c

Option B (

{e^x}\,.\,{x^5}\, + \,{e^x} + \,c

) is the correct result of integrating the given expression using integration by parts.

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