What is the integral of [5x^4+10cos(x)] ?

The integral of [5x^4+10cos(x)] is x^5+10sin(x)+C

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integral of [5x^4+10cos(x)]

\int [5 x^{4} + 10 cos (x)] d x

x^{5} + 10 sin (x) + C

Solution steps

\int 5 x^{4} + 10 cos (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 5 x^{4} d x + \int 10 cos (x) d x

\int 5 x^{4} d x = x^{5}

\int 10 cos (x) d x = 10 sin (x)

= x^{5} + 10 sin (x)

Add a constant to the solution

= x^{5} + 10 sin (x) + C

\int \frac{5 + x ^{3} + 2 x}{x} d x

\frac{\partial}{\partial x} (3 (x - 6)^{3})

3 - 11 x^{5}

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

n = 1 \sum \infty \frac{n}{8 ^{n}}

What is the integral of [5x^4+10cos(x)] ?
The integral of [5x^4+10cos(x)] is x^5+10sin(x)+C