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Integrate the function $\frac{11+9x+15x^3-18x^4}{3x^2+2}$

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Solution

Formulas

Videos

Tutorial - Learn how evaluate the an absolute value function, f(x) = |3x - 1| + 2

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

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

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

Pre-Calculus - Adding two functions f(x) = 2x+1 , g(x) = 3x^2 + 11x - 4

https://www.youtube.com/watch?v=s9bdqr0vZA4

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

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

Line integral example 2 (part 2) | Multivariable Calculus | Khan Academy

https://www.youtube.com/watch?v=Qqanbd3gLhw

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

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

Function Plot

Plotting: $-2x^{3}+\frac{5}{2}x^2+4x+\frac{\sqrt{6}}{2}\arctan\left(\frac{\sqrt{6}}{2}x\right)+\frac{1}{3}\ln\left(\frac{\sqrt{2}}{\sqrt{3x^2+2}}\right)+C_0$

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0
a
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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

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Similar Problems Solved

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Compute the integral

$\int x\left(x^2-3\right)dx$

Compute the integral

$\int x^2\sin\left(x\right)dx$

Compute the integral

$\int x^2\cos\left(2x\right)dx$

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 (7)

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