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Popular >

integral of 2x^2+5x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (2cos(x)+5sin(x))

\int (2 cos (x) + 5 sin (x)) d x

(dy)/(dx)=(e^x)/(e^y)

\frac{d y}{d x} = \frac{e ^{x}}{e ^{y}}

y^{''}-10y^'+9y=0

y^{^{''}} - 10 y^{^{'}} + 9 y = 0

tangent of y=x^4+4x^2-x,(1,4)tangent of

y = x^{4} + 4 x^{2} - x, (1, 4)

tangent of y= 1/3 x^3-3x^2+5x tangent of

y = \frac{1}{3} x^{3} - 3 x^{2} + 5 x

Frequently Asked Questions (FAQ)

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