# Math

posted by .

Find the indefinite integral.
(e^(4 x) + e^(-5 x)) dx

• Math -

recall 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 !

## Similar Questions

1. ### Calculus

Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of (sin(3*pi*t))dt For this one, I got -1/3pi cos (9 pi^2) + 1/3pi 2. indefinite integral of sinxcos(cosx)dx I got sin(cosx) + C 3. Indefinite integral of x over (root …
2. ### Calculus II/III

A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part …
3. ### Math

1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. Answer = + C 2. Evaluate the indefinite integral (12sin x+4tan x)dx. Answer = + C 3. Evaluate the indefinite integral. (x^7)e^(x^8)dx. Answer = + C Thank you …
4. ### Calc BC

1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite …
5. ### Calculus

Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.
6. ### Indefinite Integrals

find the indefinite integral of (1/x)*(e^(-2log[ 3,x])) dx where 3 is base of the log i cannot even figure out where to start :( please help. thank you
7. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6
8. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x
9. ### Math

good day please help with this indefinite integral,especially what formula i can use to solve it-2x+1/(3x^2+3x+5)dx.Find the indefinite integral.
10. ### Math (Integrals)

Find the indefinite integral in two ways. ∫(2x-1)^2 dx The first way I used was using the power rule and chain rule with substitution. Let u = 2x - 1 du = 2 dx (1/2)∫ u^2 du (Applying power rule) (1/2) * (u^3/3) + C =(2x-1)^3/6 …

More Similar Questions