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Popular >

integral of (4x^3-1)

Solution

\int (4 x^{3} - 1) d x

Solution

x^{4} - x + C

Solution steps

\int 4 x^{3} - 1 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 1 d x

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

\int 1 d x = x

= x^{4} - x

Add a constant to the solution

= x^{4} - x + C

Graph

Popular Examples

integral of 2^{3x+5}

\int 2^{3 x + 5} d x

integral of x/(sqrt(x^4-4))

\int \frac{x}{x ^{4} - 4} d x

integral of (4x^2+x)/((16x^3+6x^2)^2)

\int \frac{4 x ^{2} + x}{( 16 x ^{3} + 6 x ^{2} ) ^{2}} d x

integral of 1/(sqrt(x^2+4x+7))

\int \frac{1}{x ^{2} + 4 x + 7} d x

integral of ((e^{3x}))/(1+e^{6x)}

\int \frac{( e ^{3 x} )}{1 + e ^{6 x}} d x

Frequently Asked Questions (FAQ)

What is the integral of (4x^3-1) ?
The integral of (4x^3-1) is x^4-x+C