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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

derivative of f(x)=2x^3+4x^2+6x derivative of

f (x) = 2 x^{3} + 4 x^{2} + 6 x

limit as x approaches 0+of sin((5pi)/6 e^{sqrt(x)})

x \to 0 + lim (sin (\frac{5 π}{6} e^{x}))

integral of (x+1)[ln(x+1)+c]

\int (x + 1) [ln (x + 1) + c] d x

y^{2} y^{^{'}} = y^{2}

tangent of f(x)=x^2-2x tangent of

f (x) = x^{2} - 2 x

Frequently Asked Questions (FAQ)

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