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Find the integral $\int\frac{27e^{\left(\sqrt{x+1}\right)}}{2\sqrt{x+1}}dx$

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 Solution

 Videos

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

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

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

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

Algebra 2 - converting between logarithmic and exponential form 15^3 = 3375, log125 (5) = 1/3

https://www.youtube.com/watch?v=u-vlkoXUrFg

Algebra 2 How to find quotient of two functions with constraint f(x)=x^2; g(x)=-x+1. Find (f/g)(x)

https://www.youtube.com/watch?v=xTTzTX5IJwU

Finding specific antiderivatives: rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=bjdOWH43-9s

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

 Function Plot

Plotting: $\frac{27}{2}Ei\left(\sqrt{x+1}\right)+C_0$

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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.

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