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Popular Calculus >

integral of 3x^2-2x-1

Solution

\int 3 x^{2} - 2 x - 1 d x

Solution

x^{3} - x^{2} - x + C

Solution steps

\int 3 x^{2} - 2 x - 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 3 x^{2} d x - \int 2 x d x - \int 1 d x

\int 3 x^{2} d x = x^{3}

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

\int 1 d x = x

= x^{3} - x^{2} - x

Add a constant to the solution

= x^{3} - x^{2} - x + C

Graph

Popular Examples

integral of sec^2(x)*tan^3(x)

\int sec^{2} (x) \cdot tan^{3} (x) d x

integral of (3x^2+5)sqrt(x^3+5x)

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

integral of (x)^3

\int (x)^{3} d x

integral of 1/(sqrt(x^2+4x+53))

\int \frac{1}{x ^{2} + 4 x + 53} d x

integral of x^4sqrt(14+x^5)

\int x^{4} 14 + x^{5} d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^2-2x-1 ?
The integral of 3x^2-2x-1 is x^3-x^2-x+C