$\mathrm{The} \mathrm{integral} {\int }_1^2{\mathrm{e}}^{\mathrm{x}} . {\mathrm{x}}^2\left(2 + {\log }_{\mathrm{e}}\left(\mathrm{x}\right)\right)d\mathrm{x} = ?$

• e(2e - 1)

• e(4e + 1)

• 4e² - 1

• e(4e - 1)

The common difference of the A.P. b₁,b₂,....,bm is 2 more than common difference of A.P. a₁,a₂,...,a_n. If a₄₀ = –159, a₁₀₀ = – 399 and b₁₀₀ = a₇₀, then b₁is equal to : 

• 127

• 81

• - 127

• - 81