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Popular >

integral of 3x^2-1

Solution

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

Solution

x^{3} - x + C

Solution steps

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

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

\int 1 d x = x

= x^{3} - x

Add a constant to the solution

= x^{3} - x + C

Popular Examples

y^{''}-2y^'-8y=0

y^{^{''}} - 2 y^{^{'}} - 8 y = 0

derivative of (3/2 ^xln(3/2))

\frac{d}{d x} ((\frac{3}{2})^{x} ln (\frac{3}{2}))

integral of x^3sqrt(2+x^4)

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

(\partial)/(\partial y)(x^2+3x-4xy)

\frac{\partial}{\partial y} (x^{2} + 3 x - 4 x y)

integral of-(1/x)

\int - (\frac{1}{x}) d x

Frequently Asked Questions (FAQ)

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