en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)=3x^2+1

Solution

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

Solution

y = x^{3} + x + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x^{2} + 1

If

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

then

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

y = \int 3 x^{2} + 1 d x

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

y = x^{3} + x + c_{1}

Graph

Popular Examples

integral of ((sin(5x))/(cos(5x)))

derivative of 1/6 (e^{3x}+e^{-3x})

(dx)/(dt)=3x(5-x)

normal of f(x)= 1/(x^2),(-1,1)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=3x^2+1 ?
The solution for (dy)/(dx)=3x^2+1 is y=x^3+x+c_{1}