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fläche f(x)=x-1,1,2	`area` `f`(`x`)=`x`−1,1,2
laplacetransform sin(5t-10)	`laplacetransform` sin(5`t`−10)
integral from 2 to 5 of x^4	∫ ₂⁵`x`⁴`dx`
derivative (2x^2+5)(4x-1)	`derivative` (2`x`²+5)(4`x`−1)
y^'+4y=xe^{-4x}	`y`^′+4`y`=`xe`^−4x
integral from-1 to 2 of xe^{xy}	∫ ₋₁²`xe`^xy`dy`
derivative of 1+2e^x-3x	`ddx` (1+2`e`^x−3`x`)
integral of 5x^7	∫ 5`x`⁷`dx`
derivative of x^2+{z}(x(x)^2)	`ddx` (`x`²+`z`(`x`)(`x`)²)
derivative of csc^2(3x)	`ddx` (csc²(3`x`))
integral of cos(x)(3+4sin^2(x))	∫ cos(`x`)(3+4sin²(`x`))`dx`
derivative of (3x-2y^2-(2x-3y)^2)	`ddx` ((3`x`−2`y`)²−(2`x`−3`y`)²)
derivative (7(1-sin(x)))/(2cos(x))	`derivative` 7(1−sin(`x`))2cos(`x`)
integral from 0 to 2pi of sin(2x)	∫ ₀^2πsin(2`x`)`dx`
integral of (e^{2x+1})/2	∫ `e`^2x+12 `dx`
derivative ln(x^2+y^2)	`derivative` ln(`x`²+`y`²)
derivative of e^{7-x}	`ddx` (`e`^7−x)
(d^2)/(dx^2)(9t^2-6t+3)	`d`²`dx`² (9`t`²−6`t`+3)
derivative of ln(tanh(x))	`ddx` (ln(tanh(`x`)))
integral of 4cos^3(5x)	∫ 4cos³(5`x`)`dx`
(\partial)/(\partial y)(2sin(y^2))	∂ ∂ `y` (2sin(`y`²))
limit as x approaches 5 of (sin(x))/x	lim _{x→ 5}(sin(`x`)`x` )
integral from 0 to 3 of (x+2)sqrt(x+1)	∫ ₀³(`x`+2)√`x`+1`dx`
integral of (x^{14})/(x^5-1)	∫ `x`¹⁴`x`⁵−1 `dx`
(\partial)/(\partial z)(e^{xyz})	∂ ∂ `z` (`e`^xyz)
integral of (e^{3x}-4)^2	∫ (`e`^3x−4)²`dx`
derivative x/(x^2+64)	`derivative` `xx`²+64
tangent y=3x^3-x^2+9,(2,29)	`tangent` `y`=3`x`³−`x`²+9,(2,29)
integral of (x-1)sin(pix)	∫ (`x`−1)sin(π`x`)`dx`
integral of x^3sin(x^4)	∫ `x`³sin(`x`⁴)`dx`
integral of 9x^5e^{8x^2}	∫ 9`x`⁵`e`^8x²`dx`
(\partial)/(\partial y)(x^3y^2)	∂ ∂ `y` (`x`³`y`²)
integral of cos(3θ)	∫ cos(3θ)`d`θ
limit as x approaches-2 of (3x-6)/(x+2)	lim _{x→ −2}(3`x`−6`x`+2 )
derivative of (x^3/(2(x+1)^2))	`ddx` (`x`³2(`x`+1)² )
steigung e^x	`slope` `e`^x
integral of (2x^3-6x^2-10x-6)/(x^2-1)	∫ 2`x`³−6`x`²−10`x`−6`x`²−1 `dx`
3y^{''}-y^'+2y=0,y(0)=2,y^'(0)=0	3`y`^{′ ′}−`y`^′+2`y`=0,`y`(0)=2,`y`^′(0)=0
integral of (tan^3(4/z))/(z^2)	∫ tan³(4`z` )`z`² `dz`
integral of 1/(e^{x/2)}	∫ 1`e`^x2 `dx`
integral of (sin^5(2x))/(cos^2(2x))	∫ sin⁵(2`x`)cos²(2`x`) `dx`
d/(dy)(e^{2xy})	`ddy` (`e`^2xy)
integral of (x^3)/(sqrt(1-x^8))	∫ `x`³√1−`x`⁸ `dx`
derivative f(x)=3-4x	`derivative` `f`(`x`)=3−4`x`
derivative y=4cos(x)	`derivative` `y`=4cos(`x`)
(dy)/(dx)=(2x(y-1))/(x^2+1)	`dydx` =2`x`(`y`−1)`x`²+1
integral from 1 to 10 of xln(x)	∫ ₁¹⁰`x`ln(`x`)`dx`
limit as x approaches infinity of 3x-sqrt(9x^2+x)	lim _{x→ ∞}(3`x`−√9`x`²+`x`)
integral of (3x-1)/(x^2+10x+28)	∫ 3`x`−1`x`²+10`x`+28 `dx`
derivative x^2sin^6(x)+xcos^{-3}(x)	`derivative` `x`²sin⁶(`x`)+`x`cos⁻³(`x`)
derivative of (e^{2x}/(e^{2x)+1})	`ddx` (`e`^2x`e`^2x+1 )
d/(d{y)}(({y})/({y)+c/({y)}})	`ddy` (`yy`+`cy` )
integral of-7/(sqrt(x^2+16))	∫ −7√`x`²+16 `dx`
tangent f(x)= 1/(2sqrt(x)),\at x=64	`tangent` `f`(`x`)=12√`x` ,at `x`=64
derivative of cos(x+pi)	`ddx` (cos(`x`+π))
derivative of x^2+4x-5	`ddx` (`x`²+4`x`−5)
integral of sec^3(4x)tan(4x)	∫ sec³(4`x`)tan(4`x`)`dx`
integral of 1/(sqrt(5x))	∫ 1√5`x` `dx`
integral from 0 to 2 of 2x^2e^{-2x}	∫ ₀²2`x`²`e`^−2x`dx`
derivative of ((2x^2+1^3)/(sqrt(x^2-1)))	`ddx` ((2`x`²+1)³√`x`²−1 )
integral of 1/((1+9x^2)^{3/2)}	∫ 1(1+9`x`²)³² `dx`
integral from 1 to 4 of-3e^{sqrt(x)}	∫ ₁⁴−3`e`^√x`dx`
integral of 20sec(4x)tan(4x)	∫ 20sec(4`x`)tan(4`x`)`dx`
integral of (3x^2)/(sqrt(25-x^2))	∫ 3`x`²√25−`x`² `dx`
limit as x approaches 7 of cos((pix)/3)	lim _{x→ 7}(cos(π`x`3 ))
derivative y=sqrt(3x)	`derivative` `y`=√3`x`
limit as x approaches 3 of 2x^3+4x-2	lim _{x→ 3}(2`x`³+4`x`−2)
derivative of 2ax	`ddx` (2`ax`)
integral of (x+2y)	∫ (`x`+2`y`)`dy`
θ^{''}=3θ	θ^{′ ′}=3θ
integral of (2u+1)^2	∫ (2`u`+1)²`du`
tangent f(x)= x/(1+x^2),\at x=3	`tangent` `f`(`x`)=`x`1+`x`² ,at `x`=3
taylor 5x^2+3x^4	`taylor` 5`x`²+3`x`⁴
inverselaplace ((2))/((s-1)^2)	`inverselaplace` (2)(`s`−1)²
inverselaplace 2cos(5t)	`inverselaplace` 2cos(5`t`)
inverselaplace (s+2)^2	`inverselaplace` (`s`+2)²
steigung y=5+5x^2-2x^3	`slope` `y`=5+5`x`²−2`x`³
(\partial)/(\partial x)(sqrt(x^2+y^2+2z^2))	∂ ∂ `x` (√`x`²+`y`²+2`z`²)
(\partial)/(\partial x)(2xy+x)	∂ ∂ `x` (2`xy`+`x`)
(\partial)/(\partial x)(((1x,3y,4z))*(1,2,3))	∂ ∂ `x` (((1`x`,3`y`,4`z`))· (1,2,3))
integral of sin^3(xco)s^{12}x	∫ sin³(`xco`)`s`¹²`xdx`
derivative of arcsin(2^x)	`ddx` (arcsin(2^x))
y^{''}-4y^'+4y=1	`y`^{′ ′}−4`y`^′+4`y`=1
integral from 0 to infinity of e^{-st}	∫ ₀^∞`e`^−st`dt`
derivative y=(((3x^2))/(2x+4))^3	`derivative` `y`=((3`x`²)2`x`+4 )³
xdy-ydx=(xy)^{1/2}dx	`xdy`−`ydx`=(`xy`)¹²`dx`
tangent f(x)=7cos(x),\at ((2pi)/3)	`tangent` `f`(`x`)=7cos(`x`),at (2π3 )
limit as x approaches 1 of (2-x)/(x-1)	lim _{x→ 1}(2−`xx`−1 )
derivative of x*2	`ddx` (`x`· 2)
steigung (10.1)(5.2)	`slope` (10.1)(5.2)
integral of 1/(x^2-x)	∫ 1`x`²−`x` `dx`
derivative 4s	`derivative` 4`s`
(\partial ^2)/(\partial x\partial y)(xye^{-6y})	∂ ²∂ `x`∂ `y` (`xye`^−6y)
sum from n=1 to infinity of 2/(n^2+n)	∑ _n=1^∞2`n`²+`n`
limit as x approaches 0 of ((x-1)^3+1)/(h(x))	lim _{x→ 0}((`x`−1)³+1`h`(`x`) )
limit as x approaches+1 of xsin(1/x)	lim _{x→ +1}(`x`sin(1`x` ))
(\partial)/(\partial y)(y/(y+x))	∂ ∂ `y` (`yy`+`x` )
integral from-2 to 0 of x+2	∫ ₋₂⁰`x`+2`dx`
derivative f(x)=2e^{2x}	`derivative` `f`(`x`)=2`e`^2x
x(dy)/(dx)=y+sqrt(x^2-y^2),x>0	`xdydx` =`y`+√`x`²−`y`²,`x`>0

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