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العربية

قم بتحديث التقنيّة

مسائل مشهورة

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مسائل حساب التفاضل والتكامل مشهورة

sum from n=1 to infinity of (n!)/(2n-1)	∑ _n=1^∞`n`!2`n`−1
y^'= 5/(y+2)	`y`^′=5`y`+2
derivative of (5x^6+8x^3^4)	`ddx` ((5`x`⁶+8`x`³)⁴)
integral of csc(3x)cot(3x)	∫ csc(3`x`)cot(3`x`)`dx`
integral of (3y^2)	∫ (3`y`²)`dy`
tangent y=x+sqrt(x),(49,56)	`tangent` `y`=`x`+√`x`,(49,56)
integral from 1 to 25 of 2/x	∫ ₁²⁵2`x` `dx`
limit as x approaches+0 of (x^2)/(1-cos(x))	lim _{x→ +0}(`x`²1−cos(`x`) )
(dy)/(dx)=(5x)/(7y)	`dydx` =5`x`7`y`
integral of 1/2 xcos(4x^2)	∫ 12 `x`cos(4`x`²)`dx`
integral of-2x+6x^2-4x^3+C	∫ −2`x`+6`x`²−4`x`³+`Cdx`
(\partial)/(\partial y)(ln(1+xy))	∂ ∂ `y` (ln(1+`xy`))
sum from n=1 to infinity of 1/n-1/(2n+1)	∑ _n=1^∞1`n` −12`n`+1
taylor sqrt(1-x^2),0	`taylor` √1−`x`²,0
derivative of sqrt(2-3x^2)	`ddx` (√2−3`x`²)
derivative f(x)=(x^2)/(1+4x)	`derivative` `f`(`x`)=`x`²1+4`x`
integral of 1/((arcsin(x))^3sqrt(1-x^2))	∫ 1(arcsin(`x`))³√1−`x`² `dx`
laplacetransform e^{4(t-3)}	`laplacetransform` `e`^4(t−3)
limit as x approaches 1-of (-1)/(x^2-1)	lim _{x→ 1−}(−1`x`²−1 )
integral of 1/(1-5x)	∫ 11−5`x` `dx`
(dr)/(dθ)r=(7+sec(θ))sin(θ)	`drd`θ `r`=(7+sec(θ))sin(θ)
derivative x^2sqrt(3x+5)	`derivative` `x`²√3`x`+5
integral of x/((x^2+7)^2)	∫ `x`(`x`²+7)² `dx`
derivative f(x)=(-3x^3+3x^2)^3	`derivative` `f`(`x`)=(−3`x`³+3`x`²)³
limit as x approaches-1 of arccos(x)	lim _{x→ −1}(arccos(`x`))
integral from 0 to pi of 3sin^2(xco)s^4x	∫ ₀^π3sin²(`xco`)`s`⁴`xdx`
limit as x approaches 7 of ((1/x-1/7))/(x-7)	lim _{x→ 7}((1`x` −17 )`x`−7 )
integral of (x^3)/(x^8+16)	∫ `x`³`x`⁸+16 `dx`
derivative of x^2(1-x^2)	`ddx` (`x`²(1−`x`)²)
derivative 4sin(θ)-θ	`derivative` 4sin(θ)−θ
integral from-1 to 2 of xe^{6x}	∫ ₋₁²`xe`^6x`dx`
derivative 3x^{5/2}+8x^2	`derivative` 3`x`⁵²+8`x`²
integral of 1/(sqrt(2pi))e^{(x^2)/2}	∫ 1√2π `e`^x²2`dx`
limit as x approaches 3-of ln(x^2-9)	lim _{x→ 3−}(ln(`x`²−9))
derivative of sin(x+x*cos(x))	`ddx` (sin(`x`)+`x`· cos(`x`))
derivative of x^2y-x	`ddx` (`x`²`y`−`x`)
integral of (cos(5x)cos(3x))	∫ (cos(5`x`)cos(3`x`))`dx`
integral from 0 to 1 of x-x^3	∫ ₀¹`x`−`x`³`dx`
(\partial)/(\partial x)(e^{-x^3-y^3})	∂ ∂ `x` (`e`^−x³−y³)
derivative 5^t	`derivative` 5^t
f(x)=sin(x^5)	`f`(`x`)=sin(`x`⁵)
derivative of (-5/(x^2))	`ddx` (−5`x`² )
integral of (2x-4)/((x^2-4x+20)^2)	∫ 2`x`−4(`x`²−4`x`+20)² `dx`
integral of x^2sqrt(ax^3-b)	∫ `x`²√`ax`³−`bdx`
laplacetransform sin(5pit)	`laplacetransform` sin(5π`t`)
integral of (7x^2+9x+7)/((x^2+1)^2)	∫ 7`x`²+9`x`+7(`x`²+1)² `dx`
integral from 4 to 5 of x/(x^2+4x+20)	∫ ₄⁵`xx`²+4`x`+20 `dx`
integral of (-5csc^2(x))	∫ (−5csc²(`x`))`dx`
taylor xcos(2x),1	`taylor` `x`cos(2`x`),1
limit as x approaches+1 of e^{4x^3-4x}	lim _{x→ +1}(`e`^4x³−4x)
derivative of (3x^4-x/x)	`ddx` (3`x`⁴−`xx` )
integral of 30sin^3(x)cos^2(x)	∫ 30sin³(`x`)cos²(`x`)`dx`
integral of 5x*e^{10x}	∫ 5`x`· `e`^10x`dx`
integral from 2 to 3 of (x-4)sqrt(5-x)	∫ ₂³(`x`−4)√5−`xdx`
derivative (x^2-49)/(x+7)	`derivative` `x`²−49`x`+7
integral of (3x)/(sqrt(9-25x^4))	∫ 3`x`√9−25`x`⁴ `dx`
derivative f(x)=(x^2+3)^3(x^3+3)^2	`derivative` `f`(`x`)=(`x`²+3)³(`x`³+3)²
derivative of 5x^2cos(7x)	`ddx` (5`x`²cos(7`x`))
f^{''}(x)=x^3-4x+1,f^'(0)=2,f(1)=-2	`f`^{′ ′}(`x`)=`x`³−4`x`+1,`f`^′(0)=2,`f`(1)=−2
limit as x approaches 2 of x^2-5x+6x^2-4	lim _{x→ 2}(`x`²−5`x`+6`x`²−4)
limit as x approaches 7 of (x+7)/(x-7)	lim _{x→ 7}(`x`+7`x`−7 )
integral of cos(8x)cos(3x)	∫ cos(8`x`)cos(3`x`)`dx`
integral of 3/(sqrt(t))	∫ 3√`t` `dt`
derivative of ln(3x+x^2)	`ddx` (ln(3`x`+`x`²))
derivative of-(4x/y)	`ddx` (−4`xy` )
(\partial)/(\partial z)(xsin(yz))	∂ ∂ `z` (`x`sin(`yz`))
integral of xarcsin(6x)	∫ `x`arcsin(6`x`)`dx`
derivative of e^{(3x/2})	`ddx` (`e`^3x2)
limit as x approaches pi of ln(sin(x))	lim _{x→ π}(ln(sin(`x`)))
integral of (sec(z)tan(z))/(sqrt(sec(z)))	∫ sec(`z`)tan(`z`)√sec(`z`) `dz`
derivative (1-25x^2)^2arcsin(5x)	`derivative` (1−25`x`²)²arcsin(5`x`)
tangent (64)/(x^2+16),\at x=3	`tangent` 64`x`²+16 ,at `x`=3
integral from 2 to 3 of (x^2-4)	∫ ₂³(`x`²−4)`dx`
tangent f(x)=(6x)/(2+x^2),(2,2)	`tangent` `f`(`x`)=6`x`2+`x`² ,(2,2)
integral of (sqrt(3x+2))	∫ (√3`x`+2)`dx`
derivative y=19cos(x/b-2.5)+19	`derivative` `y`=19cos(`xb` −2.5)+19
(\partial)/(\partial x)(sin^2(2x+3y))	∂ ∂ `x` (sin²(2`x`+3`y`))
integral from 0 to 1 of x^2(x^3-2)^3	∫ ₀¹`x`²(`x`³−2)³`dx`
(\partial)/(\partial x)(t/x)	∂ ∂ `x` (`tx` )
(dy)/(dx)+(3/x)y=-4x-10	`dydx` +(3`x` )`y`=−4`x`−10
integral of 1/(sqrt(x^2-4))	∫ 1√`x`²−4 `dx`
(dy)/(dx)= 2/x	`dydx` =2`x`
derivative of a/(1+\frac{b{x+c}})	`ddx` (`a`1+`bx`+`c` )
integral of 6x^2	∫ 6`x`²`dx`
limit as x approaches 0 of x-1/(ln\|x\|)	lim _{x→ 0}(`x`−1ln\|`x`\| )
x^2y^'+2xy=ln(x),y(1)=6	`x`²`y`^′+2`xy`=ln(`x`),`y`(1)=6
limit as x approaches-2-of x/(x^2-4)	lim _{x→ −2−}(`xx`²−4 )
derivative sqrt(y/2)	`derivative` √`y`2
derivative of-(48x/((x^2+12)^2))	`ddx` (−48`x`(`x`²+12)² )
integral of e^{ix}	∫ `e`^ix`dx`
derivative 1/(sin(x))	`derivative` 1sin(`x`)
integral of sin(2θ)sin(6θ)	∫ sin(2θ)sin(6θ)`d`θ
laplacetransform 2sin(3t)cos(3t)	`laplacetransform` 2sin(3`t`)cos(3`t`)
integral of (z+3)^4	∫ (`z`+3)⁴`dz`
derivative (3x-2)^3(8x^2+7)^3	`derivative` (3`x`−2)³(8`x`²+7)³
area-1/2 x^3+2x^2+15/2 x-9,[1,6]	`area` −12 `x`³+2`x`²+152 `x`−9,[1,6]
integral from-1 to 1 of 4-4x^2	∫ ₋₁¹4−4`x`²`dx`
derivative of (4-2x-x^2/(x^2-6))	`ddx` (4−2`x`−`x`²`x`²−6 )
xv'+v=((1+2v))/(1-v)	`xv`′ +`v`=(1+2`v`)1−`v`
derivative x^4ln(x)	`derivative` `x`⁴ln(`x`)

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