What is the integral of (6sin(x)+3sinh(x)) ?

The integral of (6sin(x)+3sinh(x)) is -6cos(x)+3cosh(x)+C

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integral of (6sin(x)+3sinh(x))

\int (6 sin (x) + 3 sinh (x)) d x

- 6 cos (x) + 3 cosh (x) + C

Solution steps

\int 6 sin (x) + 3 sinh (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 sin (x) d x + \int 3 sinh (x) d x

\int 6 sin (x) d x = - 6 cos (x)

\int 3 sinh (x) d x = 3 cosh (x)

= - 6 cos (x) + 3 cosh (x)

Add a constant to the solution

= - 6 cos (x) + 3 cosh (x) + C

\int \frac{2 x + 1}{x ^{2} + 1} d x

\int \frac{x}{x ^{2} + 4 x + 8} d x

\int_{- 2}^{2} ∣ x ∣ d x

\frac{6}{s ( 2 s ^{2} + 7 s + 3 )}

\frac{( s ^{2} - 1 )}{( s ^{2} + 1 ) ^{2}}

What is the integral of (6sin(x)+3sinh(x)) ?
The integral of (6sin(x)+3sinh(x)) is -6cos(x)+3cosh(x)+C