What is the integral of (x^{10}+x^4+4x^3) ?

The integral of (x^{10}+x^4+4x^3) is (x^{11}}{11}+\frac{x^5)/5+x^4+C

Popular >

integral of (x^{10}+x^4+4x^3)

\int (x^{10} + x^{4} + 4 x^{3}) d x

\frac{x ^{11}}{11} + \frac{x ^{5}}{5} + x^{4} + C

Solution steps

\int x^{10} + x^{4} + 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^{10} d x + \int x^{4} d x + \int 4 x^{3} d x

\int x^{10} d x = \frac{x ^{11}}{11}

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

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

= \frac{x ^{11}}{11} + \frac{x ^{5}}{5} + x^{4}

Add a constant to the solution

= \frac{x ^{11}}{11} + \frac{x ^{5}}{5} + x^{4} + C

\int \frac{x}{( 3 x ^{2} - 5 ) ^{4}} d x

\int e^{x} - 2 d x

\int (sec (x) - 1)^{2} d x

\int \frac{3 x ^{2} + x - 2}{( x - 1 ) ( x ^{2} + 1 )} d x

\int \frac{1}{sec ^{3} ( 2 x )} d x

What is the integral of (x^{10}+x^4+4x^3) ?
The integral of (x^{10}+x^4+4x^3) is (x^{11}}{11}+\frac{x^5)/5+x^4+C