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Integrate $\int x^2\sqrt{7+x^2}dx$

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Solution

Formulas

Videos

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Power Series Representation With Natural Logarithms - Calculus 2

https://www.youtube.com/watch?v=A6JdlY52NFg

Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=-ejyeII0i5c

Tutorial How to find the difference between two rational expressions, ((x-2)/(x^2 -8x+12))-(3/(x-2))

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

Tutorial - Factoring using difference of two squares, x^2 - 9, 16x^4 - 100y^2, 4(4x^4 - 25y^2)

https://www.youtube.com/watch?v=IMsgq-Nye6Y

Algebra 2 - Dividing two rational expressions by factoring, ((x + y)/6) / ((x^2 - y^2)/3)

https://www.youtube.com/watch?v=mAn_OHWNj2c

Function Plot

Plotting: $-\frac{49}{8}\ln\left(\sqrt{7+x^2}+x\right)+C_1-\frac{7}{8}\sqrt{7+x^2}x+\frac{1}{4}\sqrt{\left(7+x^2\right)^{3}}x$

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a
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d
f
g
m
n
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v
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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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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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