What is (sinh(4x))/(cosh(2x))dx ?

The solution to (sinh(4x))/(cosh(2x))dx is sinh(4x)sech(2x)dx

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simplify (sinh(4x))/(cosh(2x))dx

simplify

\frac{sinh ( 4 x )}{cosh ( 2 x )} d x

sinh (4 x) sech (2 x) d x

Solution steps

\frac{sinh ( 4 x )}{cosh ( 2 x )} d x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sinh ( 4 x ) d x}{cosh ( 2 x )}

Use the Hyperbolic identity:

\frac{1}{cosh ( x )} = sech (x)

= sinh (4 x) d x sech (2 x)

cos (- a t)

sin (- y + π)

tan (\frac{π}{2} - A)

- 4 cos (4 x - \frac{π}{3})

2 sin (2 x - 3 π) + 1

What is (sinh(4x))/(cosh(2x))dx ?
The solution to (sinh(4x))/(cosh(2x))dx is sinh(4x)sech(2x)dx