What is the solution for f^'(x)=e^{3x+2}-3x^2 ?

The solution for f^'(x)=e^{3x+2}-3x^2 is f(x)= 1/3 e^{3x+2}-x^3+c_{1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f^'(x)=e^{3x+2}-3x^2

f^{^{'}} (x) = e^{3 x + 2} - 3 x^{2}

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

Solution steps

f^{'} (x) = e^{3 x + 2} - 3 x^{2}

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

then

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

f (x) = \int e^{3 x + 2} - 3 x^{2} d x

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

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

\int x y^{2} - x^{2} d x

7 x, 8 x^{2}

\frac{\partial}{\partial y} (4 e^{x} cos (yz))

x \to \infty lim \frac{( ( - 4 ) ^{x + 1} )}{( x + 1 ) \cdot 4 ^{x + 1}}

\frac{d}{d x} (4 sec (\frac{x}{2}))

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