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Popular >

integral of x^4+1

Solution

\int x^{4} + 1 d x

Solution

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

Solution steps

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

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of (3x+2)/(sqrt(19-5x+x^2))

\int \frac{3 x + 2}{19 - 5 x + x ^{2}} d x

limit as x approaches c of 2.5(-2)

x \to c lim (2.5 (- 2))

integral of x^2(2x-5)

\int x^{2} (2 x - 5) d x

derivative of Q(x)=x^4+8x^2+16 derivative of

Q (x) = x^{4} + 8 x^{2} + 16

integral of x^2e^{1-x}

\int x^{2} e^{1 - x} d x

Frequently Asked Questions (FAQ)

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