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中文(简体)

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常见问题

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常见微积分问题

integral of 8/(x-1)	∫ 8`x`−1 `dx`
integral of (10)/(x+1)	∫ 10`x`+1 `dx`
(\partial)/(\partial x)((5x-y)/(y^2+3x^2))	∂ ∂ `x` (5`x`−`yy`²+3`x`² )
面积 y=(x^3+1)^{-1},x=0,x=1	`area` `y`=(`x`³+1)⁻¹,`x`=0,`x`=1
integral of x^2+4x+4	∫ `x`²+4`x`+4`dx`
integral from 0 to 4 of-x+1	∫ ₀⁴−`x`+1`dx`
limit as x approaches infinity of (sqrt(x))/(6+e^x)	lim _{x→ ∞}(√`x`6+`e`^x )
integral of ((4-t+t^2)/(t^2))	∫ (4−`t`+`t`²`t`² )`dt`
derivative of ln(sqrt(x^2+20))	`ddx` (ln(√`x`²+20))
(\partial)/(\partial x)((2y)/(x^2+1))	∂ ∂ `x` (2`yx`²+1 )
limit as x approaches 3 of (x-2)/(x+2)	lim _{x→ 3}(`x`−2`x`+2 )
limit as x approaches 1800 of 28pi^2	lim _{x→ 1800}(28π²)
derivative (x^2-8x+5)/(x^2+8)	`derivative` `x`²−8`x`+5`x`²+8
integral of 1/(4xsqrt(x^2-16))	∫ 14`x`√`x`²−16 `dx`
derivative of 1-cos(5x)	`ddx` (1−cos(5`x`))
limit as x approaches 1 of (x+3)/(x+1)	lim _{x→ 1}(`x`+3`x`+1 )
laplacetransform-6t^2\delta(t-5)	`laplacetransform` −6`t`²`δ`(`t`−5)
derivative 5-5x^3	`derivative` 5−5`x`³
derivative of (2x/(7-cot(x)))	`ddx` (2`x`7−cot(`x`) )
laplacetransform 1(t)	`laplacetransform` 1(`t`)
integral of 26arctan(sqrt(x))	∫ 26arctan(√`x`)`dx`
integral of e^{x^2-4}+5x+6	∫ `e`^x²−4+5`x`+6`dx`
derivative y=(sqrt(x))/(2+x)	`derivative` `y`=√`x`2+`x`
limit as x approaches-2-of sqrt(-x-2)+4	lim _{x→ −2−}(√−`x`−2+4)
limit as t approaches 2 of [e^{-3t}i]	lim _{t→ 2}([`e`^−3t`i`])
integral from-5 to-7 of (-5)^{-3}	∫ ₋₅⁻⁷(−5)⁻³`dx`
derivative of 2/5 x^5-3x^2+8x-5	`ddx` (25 `x`⁵−3`x`²+8`x`−5)
derivative y=csc^2(x)-2	`derivative` `y`=csc²(`x`)−2
5y^{''}+y^'=0	5`y`^{′ ′}+`y`^′=0
y^'=sin(3x)	`y`^′=sin(3`x`)
derivative of ln(cos(0))	`ddx` (ln(cos(0)))
integral of (4x+6)/(x^2+4)	∫ 4`x`+6`x`²+4 `dx`
integral of 2/(3y-4)	∫ 23`y`−4 `dy`
integral from-2 to 3 of \sqrt[3]{x}	∫ ₋₂³³√`xdx`
integral of x^3sqrt(x^2-2)	∫ `x`³√`x`²−2`dx`
y^'+1/2 y=x	`y`^′+12 `y`=`x`
integral from 0 to 1 of sqrt(4x^2+1)	∫ ₀¹√4`x`²+1`dx`
integral of 6/(3sin(x)-4cos(x))	∫ 63sin(`x`)−4cos(`x`) `dx`
integral of 2/(x^2)-(x^2)/2	∫ 2`x`² −`x`²2 `dx`
sum from n=1 to infinity of ne^{-7n}	∑ _n=1^∞`ne`⁻⁷ⁿ
derivative of arctan^{tan(x}(x))	`ddx` (arctan^tan(x)(`x`))
integral of (sqrt(x))/(sqrt(1+x^3))	∫ √`x`√1+`x`³ `dx`
derivative of-8x-cos(x)	`ddx` (−8`x`−cos(`x`))
sum from n=7 to infinity of e^5-2n	∑ _n=7^∞`e`⁵−2`n`
derivative of x^3sqrt(x-4)	`ddx` (`x`³√`x`−4)
integral of cot(z)	∫ cot(`z`)`dz`
derivative pi/4 e^{4x+15}	`derivative` π4 `e`^4x+15
limit as x approaches 0 of 4/((5+x)^2-2)	lim _{x→ 0}(4(5+`x`)²−2 )
derivative y=ln(x^{14})	`derivative` `y`=ln(`x`¹⁴)
derivative of tan^2(x+1)	`ddx` (tan²(`x`)+1)
integral of ((8+3x-x^2))/((2x+3)(x+2)^2)	∫ (8+3`x`−`x`²)(2`x`+3)(`x`+2)² `dx`
(\partial)/(\partial x)(3e^{xy})	∂ ∂ `x` (3`e`^xy)
泰勒-ln(1-x)	`taylor` −ln(1−`x`)
derivative of ln(x^2+5x)	`ddx` (ln(`x`²+5`x`))
integral from 0 to 1 of 1/(sqrt(3-2x))	∫ ₀¹1√3−2`x` `dx`
tangent f(x)=x^2,\at x=4	`tangent` `f`(`x`)=`x`²,at `x`=4
derivative of 2+3e^{-3/x}	`ddx` (2+3`e`^−3x)
derivative of (x^4+3x^2-5^4)	`ddx` ((`x`⁴+3`x`²−5)⁴)
derivative of 3xe^{5x}	`ddx` (3`xe`^5x)
derivative of 5^{-1/x}	`ddx` (5^−1x)
derivative sqrt(3x+1)	`derivative` √3`x`+1
derivative of 6x^2+5x^3y^4-10y^5	`ddx` (6`x`²+5`x`³`y`⁴−10`y`⁵)
integral of tan(3x)sin(3x)	∫ tan(3`x`)sin(3`x`)`dx`
integral of (5x+4)^6	∫ (5`x`+4)⁶`dx`
f(x)=(2x+1)^6	`f`(`x`)=(2`x`+1)⁶
t((dy)/(dt))=t^3+13t^3y	`t`(`dydt` )=`t`³+13`t`³`y`
derivative of 9xe^{-x}	`ddx` (9`xe`^−x)
derivative (14)/((s+7)^2)	`derivative` 14(`s`+7)²
integral of cos(z)	∫ cos(`z`)
(1+x^2)y^{''}-2xy^'+2y=0	(1+`x`²)`y`^{′ ′}−2`xy`^′+2`y`=0
(d^3)/(dx^3)(ln(x+2))	`d`³`dx`³ (ln(`x`+2))
derivative f(t)=sqrt(9t^2-t)	`derivative` `f`(`t`)=√9`t`²−`t`
integral of (8x^2)/(sqrt(9-x^2))	∫ 8`x`²√9−`x`² `dx`
面积-2x^2+3,0x	`area` −2`x`²+3,0`x`
derivative (t^2)/(t-11)	`derivative` `t`²`t`−11
limit as x approaches-4 of x^2+2/(x+4)	lim _{x→ −4}(`x`²+2`x`+4 )
integral of xsqrt(7-x)	∫ `x`√7−`xdx`
integral from 2 to 3 of (13)/(sqrt(3-x))	∫ ₂³13√3−`x` `dx`
integral of (12-12x)/(1-sqrt(x))	∫ 12−12`x`1−√`x` `dx`
(\partial)/(\partial y)(cos(y/x))	∂ ∂ `y` (cos(`yx` ))
斜率 X^2-2X-15	`slope` `X`²−2`X`−15
integral of 7x^4	∫ 7`x`⁴`dx`
tangent f(x)=7x^2+5x-8	`tangent` `f`(`x`)=7`x`²+5`x`−8
limit as x approaches 0 of 3/(sin(3x))	lim _{x→ 0}(3sin(3`x`) )
tangent e^{-x}	`tangent` `e`^−x
y^'=2x+4y	`y`^′=2`x`+4`y`
integral of x/(sqrt(2+3x))	∫ `x`√2+3`x` `dx`
integral of (sqrt(x))/(1-x)	∫ √`x`1−`x` `dx`
integral from-1 to 0 of 2x-e^x	∫ ₋₁⁰2`x`−`e`^x`dx`
derivative t/4	`derivative` `t`4
derivative of 5(x^2+7^4(2x))	`ddx` (5(`x`²+7)⁴(2`x`))
limit as h approaches 0 of ((1+h)^3-1)/h	lim _{h→ 0}((1+`h`)³−1`h` )
integral of 1/(1+cos(x))	∫ 11+cos(`x`) `dx`
derivative of 5xsqrt(64-x^2)	`ddx` (5`x`√64−`x`²)
partialfraction x/(1-x^2)	`partialfraction` `x`1−`x`²
f(x)=8sqrt(x)	`f`(`x`)=8√`x`
derivative of log_{3}(xe^x)	`ddx` (log₃(`xe`^x))
tangent y=(x^3-4x)^8,(2,0)	`tangent` `y`=(`x`³−4`x`)⁸,(2,0)
d/(dt)((e^{tb}-e^{ta})/(t(b-a)))	`ddt` (`e`^tb−`e`^ta`t`(`b`−`a`) )
y^{''}+9y=12sin(3t)	`y`^{′ ′}+9`y`=12sin(3`t`)

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