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

Used Formulas

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Solution

Formulas

Videos

Basic Integrals

· Constant factor Rule
$\int cxdx=c\int xdx$
· Power Rule of Integration
$\int xdx=\frac{1}{2}x^2+C$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$

Function Plot

Plotting: $\frac{147}{8}\ln\left(\sqrt{7+x^2}+x\right)+\frac{21}{8}x\sqrt{7+x^2}+\frac{1}{4}\sqrt{\left(7+x^2\right)^{3}}x-\frac{49}{2}\ln\left(\frac{w+\sqrt{w^{2}-7}}{\sqrt{7}}\right)-\frac{7}{2}w\sqrt{w^{2}-7}+C_1$

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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

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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

See formulas (3)

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