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Popular >

integral of 5x^2+3

Solution

\int 5 x^{2} + 3 d x

Solution

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

Solution steps

\int 5 x^{2} + 3 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 5 x^{2} d x + \int 3 d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 3 d x = 3 x

= \frac{5 x ^{3}}{3} + 3 x

Add a constant to the solution

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

Popular Examples

derivative of-3e^{x^5}derivative of

- 3 e^{x^{5}}

(\partial)/(\partial x)((5y)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{5 y}{x ^{2} + y ^{2}})

integral of ((x-1))/((x+1))

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

integral of e^{-tx}

\int e^{- t x} d x

integral of 2/(sqrt(25-2x^2))

\int \frac{2}{25 - 2 x ^{2}} d x

Frequently Asked Questions (FAQ)

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