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Popular >

f^'(x)=2+5x^2

Solution

f^{^{'}} (x) = 2 + 5 x^{2}

Solution

f (x) = 2 x + \frac{5 x ^{3}}{3} + c_{1}

Solution steps

f^{'} (x) = 2 + 5 x^{2}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int 2 + 5 x^{2} d x

\int 2 + 5 x^{2} d x = 2 x + \frac{5 x ^{3}}{3} + c_{1}

f (x) = 2 x + \frac{5 x ^{3}}{3} + c_{1}

Graph

Popular Examples

integral from 0 to 15 of 25-(8x)/(15)

\int_{0}^{15} 25 - \frac{8 x}{15} d x

slope of y=x^2-5x-2,(3,-8)slope

y = x^{2} - 5 x - 2, (3, - 8)

integral of (4x^3+3x^2+2x+1)/(x^2)

\int \frac{4 x ^{3} + 3 x ^{2} + 2 x + 1}{x ^{2}} d x

(dy)/(dx)+x(y^2+y)=0,y(2)=1

\frac{d y}{d x} + x (y^{2} + y) = 0, y (2) = 1

derivative of 2e^{-3t}derivative of

2 e^{- 3 t}

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=2+5x^2 ?
The solution for f^'(x)=2+5x^2 is f(x)=2x+(5x^3)/3+c_{1}