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Popular >

integral of (2x^2-1)

Solution

\int (2 x^{2} - 1) d x

Solution

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

Solution steps

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

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of 2cos(x)+7

\int 2 cos (x) + 7 d x

derivative of ax^2+by(x^2+c)

\frac{d}{d x} (a x^{2} + b y (x)^{2} + c)

integral from 0 to y of integral from 0 to x of (x^2+y^2)^{3/2}

\int_{0}^{y} \int_{0}^{x} (x^{2} + y^{2})^{\frac{3}{2}} d y d x

area 3x, 3/4 x,70-x^2 area

3 x, \frac{3}{4} x, 70 - x^{2}

q^{''}+20q^'+500q=12

q^{^{''}} + 20 q^{^{'}} + 500 q = 12

Frequently Asked Questions (FAQ)

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