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Question

Question: \(\int_{}^{}{\left( 1 + x + \frac{x^{3}}{\begin{matrix} 3 \end{matrix}} + \frac{x^{4}}{\begin{matrix...

(1+x+x33+x44+.....)dx\int_{}^{}{\left( 1 + x + \frac{x^{3}}{\begin{matrix} 3 \end{matrix}} + \frac{x^{4}}{\begin{matrix} 4 \end{matrix}} + ..... \right)dx} equals to-

A

ex + c

B

12\frac{1}{2}ex + c

C

2ex + c

D

None of these

Answer

None of these

Explanation

Solution

=(exx22)dx\int_{}^{}{\left( e^{x} - \frac{x^{2}}{2} \right)dx} = exx36\frac{x^{3}}{6}+ c