What is the integral of 2x^4+5x+1 ?

The integral of 2x^4+5x+1 is (2x^5)/5+(5x^2)/2+x+C

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integral of 2x^4+5x+1

\int 2 x^{4} + 5 x + 1 d x

\frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x + C

Solution steps

\int 2 x^{4} + 5 x + 1 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 2 x^{4} d x + \int 5 x d x + \int 1 d x

\int 2 x^{4} d x = \frac{2 x ^{5}}{5}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 1 d x = x

= \frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x

Add a constant to the solution

= \frac{2 x ^{5}}{5} + \frac{5 x ^{2}}{2} + x + C

\frac{y ^{^{'}}}{y} = 5

n = 1 \sum \infty \frac{1}{5 ^{n + 2}}

(\frac{1}{2})^{9}

\int \frac{3 x + 1}{x ( x + 1 )} d x

x \to 0 + lim (cot (8))

What is the integral of 2x^4+5x+1 ?
The integral of 2x^4+5x+1 is (2x^5)/5+(5x^2)/2+x+C