Evaluate the following integral using integration by parts.

Integral from nothing to nothing x squared e Superscript $22$ x Baseline dx$$x$2$e$22$x$$dx

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Part $1$

Use the integration by parts formula. Choose the correct answer.

A$.$StartFraction $1$ Over $22$ EndFraction x e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh e Superscript $22$ x Baseline dx

StartFraction $1$ Over $22$ EndFraction x e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh e Superscript $22$ x Baseline dx$122$xe$22$x$111$e$22$x$$dx

B$.$StartFraction $1$ Over $22$ EndFraction x squared e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh x e Superscript $22$ x Baseline dx

StartFraction $1$ Over $22$ EndFraction x squared e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh x e Superscript $22$ x Baseline dx$122$x$2$e$22$x$111$xe$22$x$$dx

C$.$StartFraction $1$ Over $22$ EndFraction x e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh x e Superscript $22$ x Baseline dx

StartFraction $1$ Over $22$ EndFraction x e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh x e Superscript $22$ x Baseline dx$122$xe$22$x$111$xe$22$x$$dx

D$.$StartFraction $1$ Over $22$ EndFraction x squared e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh e Superscript $22$ x Baseline dx

StartFraction $1$ Over $22$ EndFraction x squared e Superscript $22$ x Baseline minus Integral from nothing to nothing one eleventh e Superscript $22$ x Baseline dx$122$x$2$e$22$x$111$e$22$x$$dx

Part $2$

Evaluate the integral.

Integral from nothing to nothing x squared e Superscript $22$ x Baseline dx$$x$2$e$22$x$$dxequals$=$enter your response here