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Popular >

integral of-3x^2+1x

Solution

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

Solution

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

Solution steps

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

Simplify

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

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

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

= - x^{3} + \frac{x ^{2}}{2}

Add a constant to the solution

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

Popular Examples

integral of 2x+1/x

\int 2 x + \frac{1}{x} d x

integral of x/(x^3-3x+2)

\int \frac{x}{x ^{3} - 3 x + 2} d x

integral of 5^xcos(x)

\int 5^{x} cos (x) d x

integral of tan(-x)

\int tan (- x) d x

integral of (sqrt(16x^2-1))/(x^3)

\int \frac{16 x ^{2} - 1}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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