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Find the integral $\int\frac{e^{2t}-e^{-2t}}{e^{2t}+e^{-2t}}dt$

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Solving: $\int\frac{e^{2t}-e^{-2t}}{e^{2t}+e^{-2t}}dt$

Solve instead: $\int\frac{e^{2t}-e^{-2t}}{e^{2t}+e^{-2t}}dx$

 Solution

 Formulas

 Videos

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Pre-Calculus - Solving trigonometric equations ex 8, cosx + sinx.tanx = 2

https://www.youtube.com/watch?v=LasCSb_b4OY

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

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

Algebra 2 - Finding the vertex of a quadratic function y = 2x^2 + 2x + 1

https://www.youtube.com/watch?v=V2udel2WylU

Definite integral of trig function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ldLdWj6DLTw

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

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

 Function Plot

Plotting: $\frac{1}{2}\ln\left(e^{2t}+e^{-2t}\right)+C_0$

SnapXam A²

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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 (1)

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