Hitunglah integral dari ∫_0^1▒ e^(2x+3) dx

Posted by andi telaumbanua on Jul 29, 2018 in Matematika |
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Hitunglah integral dari ∫_0^1▒ e^(2x+3) dx

Jawab:

Misalkan:
u= 2x +3
dx = du/2

maka:
∫_0^1▒ e^(2x+3) dx = ∫_0^1▒ e^u du/2

=1/2 ∫_0^1▒e ^u du

=1/2 ( e^u |_0^1 )

=1/2 ( e^(2x+3) |_0^1 )

= 1/2 ( e^5-e^3 )

=1/2 e^3 ( e^2-1)

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