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العربية

قم بتحديث التقنيّة

مسائل مشهورة

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مسائل حساب التفاضل والتكامل مشهورة

area x=2+sqrt(y+3),x=2-sqrt(y+3),x=y-1	`area` `x`=2+√`y`+3,`x`=2−√`y`+3,`x`=`y`−1
derivative of (-3x^5+1^3)	`ddx` ((−3`x`⁵+1)³)
integral of x/((sin(x^2))^2)	∫ `x`(sin(`x`²))² `dx`
(\partial)/(\partial x)(y+xcos(t))	∂ ∂ `x` (`y`+`x`cos(`t`))
(\partial)/(\partial x)(tan(2x+y))	∂ ∂ `x` (tan(2`x`+`y`))
derivative y=(sqrt(x)-6)/(sqrt(x)+6)	`derivative` `y`=√`x`−6√`x`+6
derivative of 8/(x^5)	`ddx` (8`x`⁵ )
slope (0,1),(5,-2)	`slope` (0,1),(5,−2)
integral of sqrt((8-x)/(8+x))	∫ √8−`x`8+`x` `dx`
derivative 4x+6/(7x)	`derivative` 4`x`+67`x`
limit as t approaches 0 of 1/(t+1)	lim _{t→ 0}(1`t`+1 )
integral of (x^3+3x)/(x^2+1)	∫ `x`³+3`xx`²+1 `dx`
integral of ((ln(x^6)))/x	∫ (ln(`x`⁶))`x` `dx`
derivative f(x)=(2-3x^3)^{-2}	`derivative` `f`(`x`)=(2−3`x`³)⁻²
integral from 0 to pi of 9sin^4(3t)	∫ ₀^π9sin⁴(3`t`)`dt`
tangent 6-2e^x	`tangent` 6−2`e`^x
limit as x approaches 0 of 2cos(pi/x)	lim _{x→ 0}(2cos(π`x` ))
integral from 1 to infinity of 1/(x^5)	∫ ₁^∞1`x`⁵ `dx`
integral of (ln(8x))/x	∫ ln(8`x`)`x` `dx`
derivative of 1/((1+x^2sqrt(1+x^2)))	`ddx` (1(1+`x`²)√1+`x`² )
derivative of sin(x+4/9 cot(x))	`ddx` (sin(`x`)+49 cot(`x`))
limit as x approaches 1 of F(x)	lim _{x→ 1}(`F`(`x`))
integral of \sqrt[3]{(csc(x))^2cot^3(x)}	∫ ³√(csc(`x`))²cot³(`x`)`dx`
integral of 2cos(4x)e^{sin(4x)}	∫ 2cos(4`x`)`e`^sin(4x)`dx`
derivative 2nd	`derivative` 2`nd`
tangent f(x)=(1+2x)/(3+x),\at x=2	`tangent` `f`(`x`)=1+2`x`3+`x` ,at `x`=2
(\partial)/(\partial x)(5sqrt(2x)+2y)	∂ ∂ `x` (5√2`x`+2`y`)
derivative of y=(5-x)^{63}	`ddx` `y`=(5−`x`)⁶³
tangent y=3x^3-x^2+4,(2,24)	`tangent` `y`=3`x`³−`x`²+4,(2,24)
limit as h approaches+0 of (8^h-1)/h	lim _{h→ +0}(8^h−1`h` )
derivative (x^2e^x)/(x^2+e^x)	`derivative` `x`²`e`^x`x`²+`e`^x
y^{''}+25y=0	`y`^{′ ′}+25`y`=0
derivative of sqrt(x)sec(1/(sqrt(x)))	`ddx` (√`x`sec(1√`x` ))
integral of (x^3)/(sqrt(4x^2+16))	∫ `x`³√4`x`²+16 `dx`
integral of (e^{-3x})/(1-e^{-3x)}	∫ `e`^−3x1−`e`^−3x `dx`
inverselaplace 9	`inverselaplace` 9
limit as x approaches infinity of 3/0	lim _{x→ ∞}(30 )
y^'-xy=1	`y`^′−`xy`=1
limit as x approaches 9 of sqrt(x)-1	lim _{x→ 9}(√`x`−1)
area x^2-2,6-x^2	`area` `x`²−2,6−`x`²
(dx)/(dt)=2+sqrt(x-2t+3)	`dxdt` =2+√`x`−2`t`+3
derivative of e^{0.2}	`ddx` (`e`^0.2)
(\partial)/(\partial t)(e^{rt})	∂ ∂ `t` (`e`^rt)
(dy)/(dx)=((4sec(y)))/((x+5)^2)	`dydx` =(4sec(`y`))(`x`+5)²
limit as x approaches 4 of 5/(4-x)	lim _{x→ 4}(54−`x` )
integral of e^{1/t}	∫ `e`^1t`dt`
derivative of (x^2+3x-2^4)	`ddx` ((`x`²+3`x`−2)⁴)
limit as x approaches 0 of (tan(6x))/(sin(5x))	lim _{x→ 0}(tan(6`x`)sin(5`x`) )
(\partial)/(\partial x)(x^2+16xw+64w^2)	∂ ∂ `x` (`x`²+16`xw`+64`w`²)
limit as x approaches 3-of (2x+1)/(x-3)	lim _{x→ 3−}(2`x`+1`x`−3 )
limit as x approaches 0-of 4/(5x^{1/3)}	lim _{x→ 0−}(45`x`¹³ )
integral of 5/2	∫ 52 `dx`
integral from 1 to infinity of 12e^{-4x}	∫ ₁^∞12`e`^−4x`dx`
derivative ((t^3)/(t^8+7))^2	`derivative` (`t`³`t`⁸+7 )²
integral of (x+1)ln(2x+4)	∫ (`x`+1)ln(2`x`+4)`dx`
derivative of (1/(x^2-3/(x^4))(x+7x^3))	`ddx` ((1`x`² −3`x`⁴ )(`x`+7`x`³))
(dy)/(dx)=x(9-y)	`dydx` =`x`(9−`y`)
derivative of (1+sqrt(3x)/(1-sqrt(3x)))	`ddx` (1+√3`x`1−√3`x` )
limit as x approaches infinity of 9	lim _{x→ ∞}(9)
derivative-3cos(x)+2sin(x)	`derivative` −3cos(`x`)+2sin(`x`)
derivative of-2sin(xcos(x))	`ddx` (−2sin(`x`)cos(`x`))
sum from n=0 to infinity of n*x^n	∑ _n=0^∞`n`· `x`ⁿ
derivative y=sqrt(2x+1)	`derivative` `y`=√2`x`+1
integral of-2x^{-2}	∫ −2`x`⁻²`dx`
d/(dθ)(sin^3(θ))	`dd`θ (sin³(θ))
derivative of 10(1-e^{x/2})	`ddx` (10(1−`e`^x2))
derivative of (x^3-2/((x-1)^2))	`ddx` (`x`³−2(`x`−1)² )
integral of 1/(xsqrt(ln(x)))	∫ 1`x`√ln(`x`) `dx`
derivative of xy^'	`ddx` (`xy`^′)
tangent y=x^4+7x^2-x,(1,7)	`tangent` `y`=`x`⁴+7`x`²−`x`,(1,7)
integral from 0 to 2 of 2sec((pix)/6)	∫ ₀²2sec(π`x`6 )`dx`
taylor 2^x,1	`taylor` 2^x,1
integral of 1/(θ^2)sin(1/θ)cos(1/θ)	∫ 1θ² sin(1θ )cos(1θ )`d`θ
d/(dt)(e^{5t})	`ddt` (`e`^5t)
derivative y=e^{9x}	`derivative` `y`=`e`^9x
d/(dt)(e^tcos(2t))	`ddt` (`e`^tcos(2`t`))
derivative x^2ln(x^2)	`derivative` `x`²ln(`x`²)
limit as x approaches 0 of \sqrt[2x]{a}	lim _{x→ 0}(^2x√`a`)
derivative y=(5x+4)^3	`derivative` `y`=(5`x`+4)³
1-y^'=cos(y)	1−`y`^′=cos(`y`)
integral from 2 to 3 of 3/(sqrt(3-x))	∫ ₂³3√3−`x` `dx`
area x=0,y=-1+(x^2)/4 ,y=2+x/4	`area` `x`=0,`y`=−1+`x`²4 ,`y`=2+`x`4
(\partial)/(\partial x)(-45xy-5x^2y-5xy^2)	∂ ∂ `x` (−45`xy`−5`x`²`y`−5`xy`²)
derivative sqrt(-x^2+12x-32)	`derivative` √−`x`²+12`x`−32
limit as x approaches-2 of \|x-2\|	lim _{x→ −2}(\|`x`−2\|)
integral of (4)	∫ (4)`dx`
derivative of ((x^2-4^{3/2})/6)	`ddx` ((`x`²−4)³²6 )
sum from n=0 to infinity of pi	∑ _n=0^∞π
limit as x approaches infinity of 1-5/x	lim _{x→ ∞}(1−5`x` )
limit as x approaches 3 of 5x	lim _{x→ 3}(5`x`)
sum from n=0 to infinity of (-1)^nn	∑ _n=0^∞(−1)ⁿ`n`
integral of 1/((1-6x)^{7/2)}	∫ 1(1−6`x`)⁷² `dx`
limit as x approaches 0+of cos(1/x)	lim _{x→ 0+}(cos(1`x` ))
limit as x approaches 2+of x/(x-2)	lim _{x→ 2+}(`xx`−2 )
derivative x^2-4x+24	`derivative` `x`²−4`x`+24
integral of-(4x+10)/(f^2(x)*x^3)	∫ −4`x`+10`f`²(`x`)· `x`³
integral of sin(7x)sin(12x)	∫ sin(7`x`)sin(12`x`)`dx`
derivative of (x^3/(24)+2/x)	`ddx` (`x`³24 +2`x` )
derivative of cos(xy-3y^4+3)	`ddx` (cos(`xy`)−3`y`⁴+3)
(\partial)/(\partial x)(A/(x+sqrt(5)x))	∂ ∂ `x` (`Ax`+√5`x` )

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