Integral Calculus Question 255

Question: $ \int_{{}}^{{}}{( 1+x+\frac{x^{2}}{2\ !}+\frac{x^{3}}{3\ !}+………. )\ dx=} $

Options:

A) $ -e^{x}+c $

B) $ e^{x}+c $

C) $ {e^{-x}}+c $

D) $ -{e^{-x}}+c $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_{{}}^{{}}{( 1+x+\frac{x^{2}}{2,!}+\frac{x^{3}}{3,!}+……. )dx=\int_{{}}^{{}}{e^{x}dx=e^{x}+c.}} $