Question

Evaluate ${\int }_0^1{e}^{3x+2}$ dx.

Answer 1

${\int }_0^1{e}^{3x+2}dx=\frac{e^{3x+2}}{3}{]}_0^1$

$=\frac{1}{3}[e^{3\times 1+2}-e^{3\times 0+2}]=\frac{1}{3}(e^5-e^2)$