Math, asked by mayankjain8379, 1 year ago

Integration of e^2x in the limits -infinity to zero

Answers

Answered by MarkAsBrainliest
0
Answer :

Now,

∫ e^(2x) dx

= 1/2 e^(2x), since ∫ e^(mx) dx = 1/m e^(mx)

Now, using the limits (- ∞ to 0), we get the integral value as

= 1/2 [ e^(2 × 0) - e^{2 × ( -∞)} ]

= 1/2 [ e^0 - e^( - ∞ ) ]

= 1/2 (1 - 0), since e^(- ∞) = 0

= 1/2

#MarkAsBrainliest
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