How to integrate hyperbolic function \frac{1-\sin(x)}{1+\sin(x)}

Wanda Kane

Wanda Kane

Answered question

2021-12-31

How to integrate hyperbolic function 1sin(x)1+sin(x)

Answer & Explanation

Ana Robertson

Ana Robertson

Beginner2022-01-01Added 26 answers

1sinx1+sinxdx=(21+sinx1)dx
=21+2t1+t221+t2dtx
=41+2t+t2dtx
=4(t+1)2d(t+1)x
=4t+1x
=4tanx2+1x
Vivian Soares

Vivian Soares

Beginner2022-01-02Added 36 answers

Hint
sinx1sinx+1=12sinx+1
From this evaluate 2sinx+1 using trigonometric/hyperbolic identities
Vasquez

Vasquez

Expert2022-01-09Added 669 answers

Hint.
Multiply the integrand for
1sinx1sinx

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