en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(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}

Popular Examples

limit as x approaches 0-of 1/(sqrt(x))

x \to 0 - lim (\frac{1}{x})

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

\int (\frac{sin ( 5 x )}{cos ( 5 x )}) d x

derivative of tan(3t)derivative of

tan (3 t)

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

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

integral of x^5e^{x^6+1}

\int x^{5} e^{x^{6} + 1} d x

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}