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Popular >

integral of 2x^2-5

Solution

\int 2 x^{2} - 5 d x

Solution

\frac{2 x ^{3}}{3} - 5 x + C

Solution steps

\int 2 x^{2} - 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{2 x ^{3}}{3} - 5 x

Add a constant to the solution

= \frac{2 x ^{3}}{3} - 5 x + C

Popular Examples

integral of x*\sqrt[3]{x^{10}}

derivative of sqrt((x^2*6^x)^3)derivative of

(x^{2} \cdot 6^{x})^{3}

derivative of ln(3x^2+5y^2)

\frac{d}{d x} (ln (3 x^{2} + 5 y^{2}))

derivative of (sqrt(x+5)/(sqrt(x+2)))

\frac{d}{d x} (\frac{x + 5}{x + 2})

xy^'+2y=e^{(2x^2)}

x y^{^{'}} + 2 y = e^{(2 x^{2})}

Frequently Asked Questions (FAQ)

What is the integral of 2x^2-5 ?
The integral of 2x^2-5 is (2x^3)/3-5x+C