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עברית

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בעיות פופולריות

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בעיות חשבון אינפיטסימלי פופולריות

integral of 1/(7x+2)	∫ 17`x`+2 `dx`
derivative of-y^2x	`ddx` (−`y`²`x`)
integral of cos(2θ)	∫ cos(2θ)`d`θ
derivative f(x)=3x^2+2ax+b	`derivative` `f`(`x`)=3`x`²+2`ax`+`b`
y^{''}-2y^'+5y=5x+3	`y`^{′ ′}−2`y`^′+5`y`=5`x`+3
limit as x approaches 3 of (3-x)/(\|x-3\|)	lim _{x→ 3}(3−`x`\|`x`−3\| )
integral of (8x+1-9e^x)	∫ (8`x`+1−9`e`^x)`dx`
inverselaplace (e^{-s})/(s^2+3s+2)	`inverselaplace` `e`^−s`s`²+3`s`+2
integral of (e^{-x})/((9e^{-2x)+1)^{3/2}}	∫ `e`^−x(9`e`^−2x+1)³² `dx`
derivative sqrt(1-x^2)	`derivative` √1−`x`²
(\partial)/(\partial x)(x/(x^2+y^2)-y^2)	∂ ∂ `x` (`xx`²+`y`² −`y`²)
integral of sin(13x)	∫ sin(13`x`)`dx`
integral from 0 to 1 of ln(4x)	∫ ₀¹ln(4`x`)`dx`
integral of-4/x	∫ −4`x` `dx`
tangent (x-2)(x^2+4)	`tangent` (`x`−2)(`x`²+4)
derivative 6cos(x)	`derivative` 6cos(`x`)
derivative-2/(9(1+x)^{5/3)}	`derivative` −29(1+`x`)⁵³
derivative of tan((pix/2))	`ddx` (tan(π`x`2 ))
derivative y=3+(12)/(2-x)	`derivative` `y`=3+122−`x`
derivative 10x(x^2+7)^4	`derivative` 10`x`(`x`²+7)⁴
derivative ((x+4)/(x-4))^5	`derivative` (`x`+4`x`−4 )⁵
integral of 1/(2-x^2)	∫ 12−`x`² `dx`
sum from n=4 to infinity of 8/(n^2-1)	∑ _n=4^∞8`n`²−1
area 2x^2,2x+6,-1,0	`area` 2`x`²,2`x`+6,−1,0
implicit xy+4y=10	`implicit` `xy`+4`y`=10
limit as x approaches 2 of (5x^3)/(x+3)	lim _{x→ 2}(5`x`³`x`+3 )
integral of (1/((x+1)^2))	∫ (1(`x`+1)² )`dx`
(\partial)/(\partial y)(xe^{yz})	∂ ∂ `y` (`xe`^yz)
integral of 1/(4sec(y))	∫ 14sec(`y`) `dy`
(dy}{dx}=\frac{xsqrt(x^2-1))/y	`dydx` =`x`√`x`²−1`y`
integral of (3p^2-2)^2e^{-4p}	∫ (3`p`²−2)²`e`^−4p`dp`
derivative 2x^2+2x+3	`derivative` 2`x`²+2`x`+3
derivative of (1+xe^x)	`ddx` ((1+`x`)`e`^x)
(\partial}{\partial z}(ln(\frac{xy)/z))	∂ ∂ `z` (ln(`xyz` ))
area y=x^2,x= y/2	`area` `y`=`x`²,`x`=`y`2
derivative f(x)=-5/(\sqrt[3]{x)}	`derivative` `f`(`x`)=−5³√`x`
limit as t approaches 0 of 3e^{2t}	lim _{t→ 0}(3`e`^2t)
integral of-2sin^2(x)	∫ −2sin²(`x`)`dx`
(dy)/(dx)+2xy=4x	`dydx` +2`xy`=4`x`
integral of (10)/((25x^2+1)^2)	∫ 10(25`x`²+1)² `dx`
integral from 1 to 5 of 7r^2ln(r)	∫ ₁⁵7`r`²ln(`r`)`dr`
limit as x approaches-2 of 3/(x^2-4)	lim _{x→ −2}(3`x`²−4 )
integral of (x-2)/(x^3)	∫ `x`−2`x`³ `dx`
derivative of ((-2x-1/(-4x+2))^5)	`ddx` ((−2`x`−1−4`x`+2 )⁵)
integral from 2 to 4 of 2x^2-3x+1	∫ ₂⁴2`x`²−3`x`+1`dx`
(\partial)/(\partial x)(cos(xln(y)))	∂ ∂ `x` (cos(`x`ln(`y`)))
limit as x approaches+0+of (36-4x^2)/x	lim _{x→ +0+}(36−4`x`²`x` )
integral of 2xsqrt(2x-1)	∫ 2`x`√2`x`−1`dx`
derivative of 1/(6x^{5/6})	`ddx` (16`x`⁵⁶ )
slope (1,1),(4,-1/2)	`slope` (1,1),(4,−12 )
(\partial)/(\partial x)(r)	∂ ∂ `x` (`r`)
tangent y=(-8x)/(x^2+1),(-1,4)	`tangent` `y`=−8`xx`²+1 ,(−1,4)
derivative x^2(240-x/3)	`derivative` `x`²(240−`x`3 )
tangent 1/2 x^4-8	`tangent` 12 `x`⁴−8
xy(dy)/(dx)+4x^2+y^2=0	`xydydx` +4`x`²+`y`²=0
derivative of 5/(2x^2)	`ddx` (52`x`² )
area x=y^2-4y,x=2y-y^2	`area` `x`=`y`²−4`y`,`x`=2`y`−`y`²
integral of 1/(t^2sqrt(400-t^2))	∫ 1`t`²√400−`t`² `dt`
derivative of cos(arctan(3x))	`ddx` (cos(arctan(3`x`)))
integral from 0 to 1/10 of xln(10x)	∫ ₀¹¹⁰`x`ln(10`x`)`dx`
limit as x approaches 0 of sqrt(2)	lim _{x→ 0}(√2)
tangent f(x)=3tan(x),\at x= pi/3	`tangent` `f`(`x`)=3tan(`x`),at `x`=π3
integral from-infinity to 0 of x	∫ _−∞⁰`xdx`
1/2*(dy)/(dx)=(2x)/(3y)	12 · `dydx` =2`x`3`y`
(d^2)/(dx^2)(3e^{x^2})	`d`²`dx`² (3`e`^x²)
integral of (x-1)e^{x^2-2x}	∫ (`x`−1)`e`^x²−2x`dx`
laplacetransform 1/2 t	`laplacetransform` 12 `t`
integral of (3-2x)^3	∫ (3−2`x`)³`dx`
(\partial)/(\partial x)(2x^2y+sin(x^3))	∂ ∂ `x` (2`x`²`y`+sin(`x`³))
tangent y=4e^x+x,(0,4)	`tangent` `y`=4`e`^x+`x`,(0,4)
integral from-pi to pi of xsin(nx)	∫ _−π^π`x`· sin(`n`· `x`)`dx`
integral of-sin(x)sec(x)tan(x)	∫ −sin(`x`)sec(`x`)tan(`x`)`dx`
integral of 4x^3-3/(x^4)	∫ 4`x`³−3`x`⁴ `dx`
derivative sqrt(3-9x)	`derivative` √3−9`x`
derivative of 4x-3/x+1/(x^2)	`ddx` (4`x`−3`x` +1`x`² )
integral of ln(x)(sqrt(1-(ln(x))^2))/x	∫ ln(`x`)√1−(ln(`x`))²`x` `dx`
integral of 1/(sqrt(2x))cos(sqrt(2x))	∫ 1√2`x` cos(√2`x`)`dx`
limit as x approaches 8-of (x-9)/(x-8)	lim _{x→ 8−}(`x`−9`x`−8 )
area 3x,7x^2	`area` 3`x`,7`x`²
derivative of 3^{x^4-2x^2}	`ddx` (3^x⁴−2x²)
limit as x approaches 0 of (5x-3)^2	lim _{x→ 0}((5`x`−3)²)
inverselaplace ((2s+1))/((s+1)^2)	`inverselaplace` (2`s`+1)(`s`+1)²
xyy^'=y^2+xsqrt(4x^2+y^2)	`xyy`^′=`y`²+`x`√4`x`²+`y`²
derivative e^w	`derivative` `e`^w
tangent x^3-2x^2-5x+6,\at x=2	`tangent` `x`³−2`x`²−5`x`+6,at `x`=2
derivative of \sqrt[5]{3x}	`ddx` (⁵√3`x`)
integral of 8x^{-9}	∫ 8`x`⁻⁹`dx`
integral of sin(2θ)	∫ sin(2θ)`d`θ
inverselaplace f(s)= 1/(s(s-3))	`inverselaplace` `f`(`s`)=1`s`(`s`−3)
derivative of arccot(sqrt(2x))	`ddx` (arccot(√2`x`))
limit as x approaches 1+of (x+10)/(x+3)	lim _{x→ 1+}(`x`+10`x`+3 )
derivative (x^8-2x^4-10x)/(x^4)	`derivative` `x`⁸−2`x`⁴−10`xx`⁴
area 6ln(x),xln(x)	`area` 6ln(`x`),`x`ln(`x`)
d/(dt)(-8sin(t))	`ddt` (−8sin(`t`))
derivative-5/(x^4)	`derivative` −5`x`⁴
limit as x approaches-1 of x^2-3x	lim _{x→ −1}(`x`²−3`x`)
integral of (4x)/1	∫ 4`x`1 `dx`
(\partial)/(\partial z)(y+z)	∂ ∂ `z` (`y`+`z`)
derivative f(x)=2x+sqrt(x)	`derivative` `f`(`x`)=2`x`+√`x`
derivative of sin(x^2+3x+1)	`ddx` (sin(`x`²+3`x`+1))

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