### Related

##### asinh

0.7922*(asinh(0.9912*...

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##### asinh

40000/(300 * asinh(25...

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asinh(4.8995);

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##### asinh

(40000/X)/(asinh(725)...

Calculate

##### asinh-sinh

asinh(2.828)+asinh(0....

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##### asinh

0.7922*(asinh(0.9912*...

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##### asinh

0.7922*asinh(5.99/0.7...

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##### asinh-float-sqrt

float((sqrt(2)*%pi*sq...

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##### asinh-solve-sqrt

eq1:(2*a*xl*sqrt(4*a^...

solve(eq1,xl);

Calculate

##### asinh-float-integrate-sqrt

f: sqrt(1+((2*x)^2));

integrate (f, x, 0, 2);

float ((asinh(4)+4*sq...

Calculate

### asinh

Run Example
```(%i1)expr:asinh((L/2-z)/sqrt(x^2+y^2));
L
- - z
2
(%o1)                        asinh(-------------)
2    2
sqrt(y  + x )
(%i2) ee:x^2;
2
(%o2)                                 x
(%i3) diff(expr,x);
L
x (- - z)
2
(%o3)                  - -------------------------------
L     2
(- - z)
2    2 3/2       2
(y  + x )    sqrt(-------- + 1)
2    2
y  + x
(%i4) ```
Run Example
```display2d:false;

(%o1) false
(%i2)
I1:((4*a^2*x^2+1)^(3/2)/(12*a^2))/(E*I);

(%o2) (4*a^2*x^2+1)^(3/2)/(12*a^2*E*I)
(%i3)
I2:(a*(-asinh(2*abs(a)*x)/(64*a^2*abs(a)) +x*(4*a^2*x^2+1)^(3/2)/(16*a^2)-x*sqrt(4*a^2*x^2+1)/(32*a^2)))/(E*I);

(%o3) a*(-asinh(2*abs(a)*x)/(64*a^2*abs(a))
+x*(4*a^2*x^2+1)^(3/2)/(16*a^2)-x*sqrt(4*a^2*x^2+1)/(32*a^2))
/(E*I)
(%i4)
I3:(-asinh(2*abs(a)*x)/(64*a^2*abs(a))+x*(4*a^2*x^2+1)^(3/2)/(16*a^2)-x*sqrt(4*a^2*x^2+1)/(32*a^2))/(E*I);

(%o4) (-asinh(2*abs(a)*x)/(64*a^2*abs(a))+x*(4*a^2*x^2+1)^(3/2)/(16*a^2)
-x*sqrt(4*a^2*x^2+1)/(32*a^2))
/(E*I)
(%i5)
I4:(a^2*(asinh(2*abs(a)*x)/(512*a^4*abs(a))+x^3*(4*a^2*x^2+1)^(3/2)/(24*a^2)-x*(4*a^2*x^2+1)^(3/2)/(128*a^4)+x*sqrt(4*a^2*x^2+1)/(256*a^4)))/(E*I);

(%o5) a^2*(asinh(2*abs(a)*x)/(512*a^4*abs(a))
+x^3*(4*a^2*x^2+1)^(3/2)/(24*a^2)-x*(4*a^2*x^2+1)^(3/2)/(128*a^4)
+x*sqrt(4*a^2*x^2+1)/(256*a^4))
/(E*I)
(%i6)
I5:(a*(x^2*(4*a^2*x^2+1)^(3/2)/(20*a^2)-(4*a^2*x^2+1)^(3/2)/(120*a^4)))/(E*I);

(%o6) a*(x^2*(4*a^2*x^2+1)^(3/2)/(20*a^2)-(4*a^2*x^2+1)^(3/2)/(120*a^4))/(E*I)
(%i7)
I0:((asinh(2*abs(a)*x)/(4*abs(a))+x*sqrt(4*a^2*x^2+1)/2))/(E*I);

(%o7) (asinh(2*abs(a)*x)/(4*abs(a))+x*sqrt(4*a^2*x^2+1)/2)/(E*I)
(%i8)
I0:subst(X,x,I0);

(%o8) (asinh(2*abs(a)*X)/(4*abs(a))+X*sqrt(4*a^2*X^2+1)/2)/(E*I)
(%i9)
I1:subst(X,x,I1);

(%o9) (4*a^2*X^2+1)^(3/2)/(12*a^2*E*I)
(%i10)
I2:subst(X,x,I2);

(%o10) a*(-asinh(2*abs(a)*X)/(64*a^2*abs(a))
+X*(4*a^2*X^2+1)^(3/2)/(16*a^2)-X*sqrt(4*a^2*X^2+1)/(32*a^2))
/(E*I)
(%i11)
I3:subst(X,x,I3);

(%o11) (-asinh(2*abs(a)*X)/(64*a^2*abs(a))+X*(4*a^2*X^2+1)^(3/2)/(16*a^2)
-X*sqrt(4*a^2*X^2+1)/(32*a^2))
/(E*I)
(%i12)
I4:subst(X,x,I4);

(%o12) a^2*(asinh(2*abs(a)*X)/(512*a^4*abs(a))
+X^3*(4*a^2*X^2+1)^(3/2)/(24*a^2)-X*(4*a^2*X^2+1)^(3/2)/(128*a^4)
+X*sqrt(4*a^2*X^2+1)/(256*a^4))
/(E*I)
(%i13)
I5:subst(X,x,I5);

(%o13) a*(X^2*(4*a^2*X^2+1)^(3/2)/(20*a^2)-(4*a^2*X^2+1)^(3/2)/(120*a^4))
/(E*I)
(%i14)
```
Run Example
```(40000/X)/(asinh(725)^2);
40000
(%o1)                            -------------
2
asinh (725) X
(%i2) ```

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