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Popular >

integral of e^{x+3y}

Solution

\int e^{x + 3 y} d x

Solution

e^{x + 3 y} + C

Solution steps

\int e^{x + 3 y} d x

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Substitute back

u = x + 3 y

= e^{x + 3 y}

Add a constant to the solution

= e^{x + 3 y} + C

Popular Examples

integral of (sec^4(x))/(tan(x))

\int \frac{sec ^{4} ( x )}{tan ( x )} d x

area y=x^3-6x,(0,3)area

y = x^{3} - 6 x, (0, 3)

integral of (24)/(25+r^2)

\int \frac{24}{25 + r ^{2}} d r

integral of 1-sin(x)

\int 1 - sin (x) d x

integral from 1 to 3 of x^2-4x+3

\int_{1}^{3} x^{2} - 4 x + 3 d x

Frequently Asked Questions (FAQ)

What is the integral of e^{x+3y} ?
The integral of e^{x+3y} is e^{x+3y}+C