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Popular >

integral of 8x^5-2

Solution

\int 8 x^{5} - 2 d x

Solution

\frac{4 x ^{6}}{3} - 2 x + C

Solution steps

\int 8 x^{5} - 2 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 8 x^{5} d x - \int 2 d x

\int 8 x^{5} d x = \frac{4 x ^{6}}{3}

\int 2 d x = 2 x

= \frac{4 x ^{6}}{3} - 2 x

Add a constant to the solution

= \frac{4 x ^{6}}{3} - 2 x + C

Popular Examples

integral of zarctan(z)

\int z arctan (z) d z

integral of (9t^2)/2

\int \frac{9 t ^{2}}{2} d t

integral of (14x)/((9+x^2)^3)

\int \frac{14 x}{( 9 + x ^{2} ) ^{3}} d x

integral of 2^x+2x

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

integral of e^{1/(3x)}

\int e^{\frac{1}{3 x}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^5-2 ?
The integral of 8x^5-2 is (4x^6)/3-2x+C