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Find the integral $\int\frac{\left(3-e^{5x}\right)e^{5x}}{1+e^{5x}}dx$

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 Solution

 Formulas

 Videos

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

How to find the integral of an exponential function using u sub

https://www.youtube.com/watch?v=Sp6tUzUoSps

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

229. Integral de dx entre raíz cuadrada de 2x^2 + 3, aplicando fórmula

https://www.youtube.com/watch?v=hdcEwjwNdI0

Calculus - Find the Derivative of inverse of a function given values, f(3)=7; f'(3)= -10; Find g'(7)

https://www.youtube.com/watch?v=cHkbAHFOn2w

Calculus - How to find the limit of continuous functions, lim(x tends to -3) (x^2 - 8)

https://www.youtube.com/watch?v=RbT5vQajMio

 Function Plot

Plotting: $\frac{4}{5}\ln\left(1+e^{5x}\right)-\frac{1}{5}e^{5x}+C_1$

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1

2

3

4

5

6

7

8

9

0



a

b

c

d

f

g

m

n

u

v

w

x

y

z

.

(◻)

+

-

×

◻/◻

/

÷

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

e

π

ln

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

θ

=

>

<

>=

<=

sin

cos

tan

cot

sec

csc

asin

acos

atan

acot

asec

acsc

sinh

cosh

tanh

coth

sech

csch

asinh

acosh

atanh

acoth

asech

acsch

 How to improve your answer:

 Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

 Used Formulas

See formulas (4)

 Related Topics