If ∫011+tetdt=a, then find the value of ∫01(1+t)2etdt in terms of a .

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If {_{{0}}^{{1}}}{{{e}^{{t}}}}{{{1}+{t}}}{.{d}{t}.}={a}, then

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If $\int_{0}^{1} \frac{e ^{t}}{1 + t} d t = a,$ then find the value of $\int_{0}^{1} \frac{e ^{t}}{( 1 + t ) ^{2}} d t$ in terms of $a$ .

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\int_{0}^{1} \frac{e ^{t}}{1 + t} d t = a,

then find the value of

\int_{0}^{1} \frac{e ^{t}}{( 1 + t ) ^{2}} d t

in terms of

a

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Question Text

\int_{0}^{1} \frac{e ^{t}}{1 + t} d t = a,

then find the value of

\int_{0}^{1} \frac{e ^{t}}{( 1 + t ) ^{2}} d t

in terms of

a