Need a hint to evaluate the indefinite integral int (e^x(2-x^2))/((1-x)sqrt(1-x^2))dx ?

Jamie Medina

Jamie Medina

Answered question

2022-11-22

Need a hint to evaluate the indefinite integral e x ( 2 x 2 ) ( 1 x ) 1 x 2 d x

Answer & Explanation

Kendrick Lamb

Kendrick Lamb

Beginner2022-11-23Added 6 answers

Your trick does work.
e x 2 x 2 ( 1 x ) 1 x 2 = e x 1 ( 1 x ) 1 x 2 + e x 1 + x 1 x
And,
d 1 + x 1 x d x = 1 x 2 1 + x 2 ( 1 x ) 2 = 1 ( 1 x ) 1 x 2
So the antiderivative is,
e x 1 + x 1 x + C

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