Processing math: 100%

AI Math Handbook Calculator

+ - * / ^ ! ^o

$oo$

$alpha$

$beta$

$gamma$

$Gamma$

$delta$

$theta$

$pi$ and ( )
sin(x) cos(x) tan(x) cot(x) sec(x) csc(x)

$sin^(-1)(x)$

$cos^(-1)(x)$

$tan^(-1)(x)$
sinh(x) cosh(x) tanh(x) coth(x)

$sinh^(-1)(x)$

$cosh^(-1)(x)$

$tanh^(-1)(x)$
f(x)= x

$x^2$

$sqrt(x)$

$root3(x)$

$e^-x$ exp(x) ln(x) log(x)

$log_10 (x)$ |x| W(x)

$((3),(x))$
x! x!!

$Gamma(x)$

$gamma(2,0,x)$

$psi(x)$ erf(x)

$Phi(x)$ Ei(x) li(x) si(x)

$zeta(x)$

$E _0.5 (x^0.5)$

$sum_(x=0)^5$ (x)

$int$

$int$ y(x) dx

$int y(x) (dx)^0.5$

$int_0^1$ sin(x) dx

$d/dx$ y(x)

$(d^(1) y)/dx^(1)$

$y^((1))(x)$ y' y''

Input:
series(sin(x),x,0,5,1.5)

Write:
$series(sin(x),x,0,5,1.5)$

Compute:

$series(sin(x),x,0,5,1.5)$

Output:
$series(sin(x),x,0,5,1.5)== 0.7978845608028653\ \sqrt{x}+0.5319230405352436\ {x}^{1.5}-0.21276921621409742\ {x}^{2.5}-0.06079120463259929\ {x}^{3.5}+0.013509156585022055\ {x}^{4.5}+0.002456210288185832\ {x}^{5.5}$

Result:

$0.7978845608028653\ \sqrt{x}+0.5319230405352436\ {x}^{1.5}-0.21276921621409742\ {x}^{2.5}-0.06079120463259929\ {x}^{3.5}+0.013509156585022055\ {x}^{4.5}+0.002456210288185832\ {x}^{5.5}$

fill zoom graph by mouse wheel.

$dy/dx-(d^0.5y)/dx^0.5-y-1$ =0