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Popular >

integral of 5x^4+1

Solution

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

Solution

x^{5} + x + C

Solution steps

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

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

\int 1 d x = x

= x^{5} + x

Add a constant to the solution

= x^{5} + x + C

Graph

Popular Examples

integral of (x+8)e^{9x}

\int (x + 8) e^{9 x} d x

integral of 1/(2z^2+3)

\int \frac{1}{2 z ^{2} + 3} d z

integral of ((sqrt(x)+ln(x))/x)

\int (\frac{x + ln ( x )}{x}) d x

integral of (sin(x)-\sqrt[4]{x}-e^x+18)

\int (sin (x) - 4 x - e^{x} + 18) d x

integral of (-1)/(x^2+x+1)

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

Frequently Asked Questions (FAQ)

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