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

The integral of x^3+sinh(x) is (x^4)/4+cosh(x)+C

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integral of x^3+sinh(x)

\int x^{3} + sinh (x) d x

\frac{x ^{4}}{4} + cosh (x) + C

Solution steps

\int 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 x^{3} d x + \int sinh (x) d x

\int x^{3} d x = \frac{x ^{4}}{4}

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

= \frac{x ^{4}}{4} + cosh (x)

Add a constant to the solution

= \frac{x ^{4}}{4} + cosh (x) + C

y^{^{''}} + 5 y^{^{'}} + 6 y = t e^{- t}

x \to 3 lim (9 - x^{2})

\frac{d y}{d x} = 2 x y - y, y (0) = 2

\int \frac{1}{sin ^{2} ( t ) - 1} d t

\int 2 cos (x) + sec^{2} (x) d x

What is the integral of x^3+sinh(x) ?
The integral of x^3+sinh(x) is (x^4)/4+cosh(x)+C