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Popular >

integral of (4x^3-2)

Solution

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

Solution

x^{4} - 2 x + C

Solution steps

\int 4 x^{3} - 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 4 x^{3} d x - \int 2 d x

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

\int 2 d x = 2 x

= x^{4} - 2 x

Add a constant to the solution

= x^{4} - 2 x + C

Popular Examples

integral of (8x+4)/(sqrt(4x-1))

\int \frac{8 x + 4}{4 x - 1} d x

integral of (x^3-4)/(sqrt(x^2-25))

\int \frac{x ^{3} - 4}{x ^{2} - 25} d x

integral of (3x^2+13x+17)/((x+3)(x+2)^2)

\int \frac{3 x ^{2} + 13 x + 17}{( x + 3 ) ( x + 2 ) ^{2}} d x

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

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

integral of (2x+4)/(x^2-5x+6)

\int \frac{2 x + 4}{x ^{2} - 5 x + 6} d x

Frequently Asked Questions (FAQ)

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