What is the integral of 6x^6+3x^5+5x-4 ?

The integral of 6x^6+3x^5+5x-4 is (6x^7)/7+(x^6)/2+(5x^2)/2-4x+C

Popular >

integral of 6x^6+3x^5+5x-4

\int 6 x^{6} + 3 x^{5} + 5 x - 4 d x

\frac{6 x ^{7}}{7} + \frac{x ^{6}}{2} + \frac{5 x ^{2}}{2} - 4 x + C

Solution steps

\int 6 x^{6} + 3 x^{5} + 5 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 6 x^{6} d x + \int 3 x^{5} d x + \int 5 x d x - \int 4 d x

\int 6 x^{6} d x = \frac{6 x ^{7}}{7}

\int 3 x^{5} d x = \frac{x ^{6}}{2}

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 4 d x = 4 x

= \frac{6 x ^{7}}{7} + \frac{x ^{6}}{2} + \frac{5 x ^{2}}{2} - 4 x

Add a constant to the solution

= \frac{6 x ^{7}}{7} + \frac{x ^{6}}{2} + \frac{5 x ^{2}}{2} - 4 x + C

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

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

\int \frac{e ^{x}}{- 8 + e ^{x}} d x

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

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

What is the integral of 6x^6+3x^5+5x-4 ?
The integral of 6x^6+3x^5+5x-4 is (6x^7)/7+(x^6)/2+(5x^2)/2-4x+C