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Find the integral $\int x^2\sqrt{\left(x^2+1\right)^{3}}dx$

Used Formulas

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Solution

Formulas

Videos

Basic Integrals

· Sum Rule for Integration
$\int\left(a+b+...\right)dx=\int adx+\int bdx+...$
· Constant factor Rule
$\int cxdx=c\int xdx$

Function Plot

Plotting: $\frac{5}{16}\ln\left(\sqrt{x^2+1}+x\right)+\frac{5}{16}\sqrt{x^2+1}x+\frac{5}{24}\sqrt{\left(x^2+1\right)^{3}}x+\frac{1}{6}\sqrt{\left(x^2+1\right)^{5}}x-\frac{3}{8}\ln\left(\sqrt{x^2+1}+x\right)-\frac{3}{8}\sqrt{x^2+1}x-\frac{1}{4}\sqrt{\left(x^2+1\right)^{3}}x+C_0$

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a
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x
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(◻)
+
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◻/◻
/
÷
◻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: 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

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