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Integrate $\int t^2\sqrt{3+5t^2}dt$

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Function Plot

Plotting: $-\frac{97}{241}\ln\left(\sqrt{v^{2}+3}+v\right)+C_1+0.3018692\ln\left(\frac{\sqrt{3+5t^2}}{\sqrt{3}}+\frac{\sqrt{5t^2}}{\sqrt{3}}\right)+\frac{16}{159}\sqrt{5t^2}\sqrt{3+5t^2}+\frac{7}{313}\sqrt{\left(3+5t^2\right)^{3}}\sqrt{5t^2}-\frac{3}{5\sqrt{20}}\sqrt{v^{2}+3}v$

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x
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.
(◻)
+
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◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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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