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Popular >

integral of x^4+x^3

Solution

\int x^{4} + x^{3} d x

Solution

\frac{x ^{5}}{5} + \frac{x ^{4}}{4} + C

Solution steps

\int x^{4} + x^{3} 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 x^{3} d x

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

\int x^{3} d x = \frac{x ^{4}}{4}

= \frac{x ^{5}}{5} + \frac{x ^{4}}{4}

Add a constant to the solution

= \frac{x ^{5}}{5} + \frac{x ^{4}}{4} + C

Popular Examples

integral of e^{tan(15x)}sec^2(15x)

\int e^{t a n (15 x)} sec^{2} (15 x) d x

integral of (36)/(1+16x^2)

\int \frac{36}{1 + 16 x ^{2}} d x

integral of (3x^2)/(b^{5x^3)}

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

integral of (2x+3)/(sqrt(x^2+3x))

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

integral of (1-3x)^5

\int (1 - 3 x)^{5} d x

Frequently Asked Questions (FAQ)

What is the integral of x^4+x^3 ?
The integral of x^4+x^3 is (x^5)/5+(x^4)/4+C