What is the integral of-sinh(x) ?

The integral of-sinh(x) is -cosh(x)+C

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integral of-sinh(x)

\int - sinh (x) d x

- cosh (x) + C

Solution steps

\int - sinh (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int sinh (x) d x

Use the common integral:

\int sinh (x) d x = cosh (x)

= - cosh (x)

Add a constant to the solution

= - cosh (x) + C

\frac{d}{d x} (7 x + s + 9)

f (x) = \frac{x ^{2} - 1}{x}

\frac{d}{d x} (\frac{1}{4} x^{4} - \frac{2}{3} x^{3} + 2)

\int ln (x^{2} + 3) d x

\int \frac{1}{n ln ( n )}