Saturday

February 28, 2015

February 28, 2015

Posted by **Vanessa** on Wednesday, April 9, 2014 at 10:48pm.

(e^(4 x) + e^(-5 x)) dx

- Math -
**Steve**, Thursday, April 10, 2014 at 12:15amrecall that ∫ e^u du = e^u

∫e^(4x) dx

let u = 4x, so du = 4 dx. That means that you have

∫e^(4x) (1/4)(4x dx) = ∫ 1/4 e^u du = 1/4 e^u = 1/4 (e^4x)

similarly, for any constant a,

∫e^(ax) dx = 1/a e^(ax)

and as always, don't forget the +C !

**Answer this Question**

**Related Questions**

Calc BC - 1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2...

Calculus - Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of...

Math - 1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. ...

Calculus II/III - A. Find the integral of the following function. Integral of (x...

math - Evaluate the following indefinite integral by using the given ...

Indefinite Integrals - find the indefinite integral of (1/x)*(e^(-2log[ 3,x])) ...

math - Evaluate the following indefinite integral by using the given ...

Calculus - Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if ...

calculus - Find the indefinite integral and check the result by differentiation...

Calculus - Find the indefinite integral (integral sign) 3te^2tdt