Find the given indefinite integral. State whether integration by substitution or integration by parts was used.
-$\int 11 \mathrm{xe}^{\mathrm{x}^{2}+1} \mathrm{dx}$
A) $22 \mathrm{e}^{\mathrm{x}^{2}+1}-\frac{11}{2} \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}$; parts
B) $22 \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}$; substitution
C) $\frac{11}{2} \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}$; substitution
D) $121 \mathrm{e}^{\mathrm{x}^{2}+1}-\frac{11}{2} \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}$; parts

Question

Quizplus · Accepted Answer

The integral can be solved using substitution. Let $ u = x^2 + 1 $, then $ du = 2x \, dx $. The integral becomes $\frac{11}{2} \int e^u \, du = \frac{11}{2} e^{x^2+1} + C$.

Find the Given Indefinite Integral ∫11xex2+1dx\int 11 \mathrm{xe}^{\mathrm{x}^{2}+1} \mathrm{dx}∫11xex2+1dx A) 22ex2+1−112ex2+1+C22 \mathrm{e}^{\mathrm{x}^{2}+1}-\frac{11}{2} \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}22ex2+1−211​ex2+1+C

Find the Given Indefinite Integral $\int 11 \mathrm{xe}^{\mathrm{x}^{2}+1} \mathrm{dx}$ A) $22 \mathrm{e}^{\mathrm{x}^{2}+1}-\frac{11}{2} \mathrm{e}^{\mathrm{x}^{2}+1}+\mathrm{C}$