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Find the integral $\int\left(2x+3\right)\left(x^2+3x\right)^2dx$

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 Solution

 Formulas

 Videos

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Calculus - Mulitiplying Rational Expressions, ((x^2 - 2x - 3)/(x^2 - 1)) . ((3x - 3)/(x^2 - 4x + 3))

https://www.youtube.com/watch?v=eB9q_okoWFA

Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

https://www.youtube.com/watch?v=fG2HAWBNVNE

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

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

Integral of 1/sqrt(1-x^2)

https://www.youtube.com/watch?v=9AvyXgfNN9E

Pre-Calculus - Completing the square of two functions f(x) = x^2+6x+8, f(x) = -x^2+2x+5

https://www.youtube.com/watch?v=DXWE_0LLkvk

 Function Plot

Plotting: $\frac{\left(x^2+3x\right)^{3}}{3}+C_0$

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1

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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: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

 Used Formulas

See formulas (2)

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