Mister Exam

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Integral of e^(3x)dy dx

You have entered [src]

$$\int\limits_{0}^{1} e^{3 x}\, dy$$

Integral(E^(3*x), (y, 0, 1))

Detail solution

The integral of a constant is the constant times the variable of integration:

$\int e^{3 x}\, dy = y e^{3 x}$
Add the constant of integration:

$y e^{3 x}+ \mathrm{constant}$

The answer is:

$y e^{3 x}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                     
 |  3*x             3*x
 | E    dy = C + y*e   
 |                     
/

$$\int e^{3 x}\, dy = C + y e^{3 x}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

 3*x
e

$$e^{3 x}$$

 3*x
e

$$e^{3 x}$$

exp(3*x)

Use the examples entering the upper and lower limits of integration.

Integral of e^(3*x)*dy dx