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Answer:
(1/17) [In |eˣ - 4| - 0.5 In |e²ˣ + 1| - 4 arctan eˣ] + c
Step-by-step explanation:
The solution to the question is provided in the attached image.
The right substitution is y = eˣ
y = eˣ
(dy/dx) = eˣ
dy = eˣ dx
dx = (dy/eˣ)
And x = In y
We then obtain an expression that can be resolved into integrable form by resolving into partial fractions.
After this, the partial fractions is then integrated; giving the final answer obtained.
