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Popular Calculus >

integral of 1+x^4

Solution

\int 1 + x^{4} d x

Solution

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

Solution steps

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

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

(\partial)/(\partial x)(3xe^{4xy})

\frac{\partial}{\partial x} (3 x e^{4 x y})

integral of (11x)/(sqrt(x^2+1))

\int \frac{11 x}{x ^{2} + 1} d x

limit as w approaches 0 of (e^{2w}-(1+w))/(w^2)

w \to 0 lim (\frac{e ^{2 w} - ( 1 + w )}{w ^{2}})

integral of 1/(-sqrt(x))

\int \frac{1}{- x} d x

derivative of (\sqrt[3]{x})/(x^3+1)

d er i v a t i v e \frac{3 x}{x ^{3} + 1}

Frequently Asked Questions (FAQ)

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