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Problemas populares Cálculo

derivative f(x)=(6x+5)(x^3-2)	derivative\:f(x)=(6x+5)(x^{3}-2)
límite cuando x tiende a 0 de x^3sin(x)	\lim\:_{x\to\:0}(x^{3}\sin(x))
derivative f(x)=x^4-12x^3+3	derivative\:f(x)=x^{4}-12x^{3}+3
integral de 8sin^3(x)cos(x)	\int\:8\sin^{3}(x)\cos(x)dx
(\partial)/(\partial x)(xyln(xy))	\frac{\partial\:}{\partial\:x}(xy\ln(xy))
(xdy)/(dx)=-y+2x^2y,y(1)=1	\frac{xdy}{dx}=-y+2x^{2}y,y(1)=1
límite cuando y tiende a 2 de sqrt(4y^2-2y)	\lim\:_{y\to\:2}(\sqrt{4y^{2}-2y})
integral de 0 a-0.3 de 300x	\int\:_{0}^{-0.3}300xdx
tangent f(x)=e^{2x},\at x= 1/2 ln(3)	tangent\:f(x)=e^{2x},\at\:x=\frac{1}{2}\ln(3)
límite cuando x tiende a 3 de 2x+\|x-3\|	\lim\:_{x\to\:3}(2x+\left\|x-3\right\|)
x^2y^{''}+xy^'+9y=10x	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+9y=10x
pendiente y=x^3+2	slope\:y=x^{3}+2
derivative sqrt(sin(x))	derivative\:\sqrt{\sin(x)}
implicit (dy)/(dx),e^{x/y}=x-y	implicit\:\frac{dy}{dx},e^{\frac{x}{y}}=x-y
integral de 9y	\int\:9ydy
integral de 2/3 x^{-1/3}	\int\:\frac{2}{3}x^{-\frac{1}{3}}dx
volumeabout y=0,y=ln(x),y=0,[1,2]	volumeabout\:y=0,y=\ln(x),y=0,[1,2]
(dy)/(dx)=-9.81+0.00375y^2	\frac{dy}{dx}=-9.81+0.00375y^{2}
laplacetransform e^{-3t}cos(-t)	laplacetransform\:e^{-3t}\cos(-t)
integral de 5u^{3/2}	\int\:5u^{\frac{3}{2}}du
derivada de (2x-6/(4-x))	\frac{d}{dx}(\frac{2x-6}{4-x})
derivada de 9/(sqrt(x+4))	\frac{d}{dx}(\frac{9}{\sqrt{x+4}})
derivada de log_{6}(cot(8x))	\frac{d}{dx}(\log_{6}(\cot(8x)))
límite cuando x tiende a 0 de (tan(3x)-sin(3x))/(x^3)	\lim\:_{x\to\:0}(\frac{\tan(3x)-\sin(3x)}{x^{3}})
derivative (x^3)/(6x-3)	derivative\:\frac{x^{3}}{6x-3}
área 3x^2+4,[1,2]	area\:3x^{2}+4,[1,2]
derivative 160+3.2x-0.03x^2	derivative\:160+3.2x-0.03x^{2}
derivada de (e^{2x}+e^{-2x}/4)	\frac{d}{dx}(\frac{e^{2x}+e^{-2x}}{4})
derivada de 3x^2-8x	\frac{d}{dx}(3x^{2}-8x)
serie de n=0 a infinity de 2/3 n(1/3)^n	\sum\:_{n=0}^{\infty\:}\frac{2}{3}n(\frac{1}{3})^{n}
normal y=x^4+9e^x,(0,5)	normal\:y=x^{4}+9e^{x},(0,5)
límite cuando x tiende a 81 de ((sqrt(x)-9))/(x-81)	\lim\:_{x\to\:81}(\frac{(\sqrt{x}-9)}{x-81})
serie de n=1 a infinity de 2(-1/2)^n	\sum\:_{n=1}^{\infty\:}2(-\frac{1}{2})^{n}
derivada de (27/x)	\frac{d}{dx}(\frac{27}{x})
derivada de 3pix	\frac{d}{dx}(3πx)
integral de tan(4x+1)	\int\:\tan(4x+1)dx
integral de (3t-1)^3	\int\:(3t-1)^{3}dt
integral de (cos^2(y))/(1-sin(y))	\int\:\frac{\cos^{2}(y)}{1-\sin(y)}dy
integral de 3cos(x)	\int\:3\cos(x)dx
integral de ((x^2)/(sqrt(9-x^2)))	\int\:(\frac{x^{2}}{\sqrt{9-x^{2}}})dx
derivada de ((2x^3+ax+a)/(x^2-1))	\frac{d}{dx}(\frac{(2x^{3}+ax+a)}{x^{2}-1})
integral de 4x^2e^{x^3}	\int\:4x^{2}e^{x^{3}}dx
derivada de (x^2/(8-8x))	\frac{d}{dx}(\frac{x^{2}}{8-8x})
límite cuando x tiende a 0 de sin(x)+cos(x)	\lim\:_{x\to\:0}(\sin(x)+\cos(x))
derivative y=(x^3+8)/x	derivative\:y=\frac{x^{3}+8}{x}
f(u)= 1/u	f(u)=\frac{1}{u}
derivative g(x)=tan(2x)*sin(2x)	derivative\:g(x)=\tan(2x)\cdot\:\sin(2x)
derivative y=sqrt(2x-x^2)	derivative\:y=\sqrt{2x-x^{2}}
d/(dθ)(2+2sin(θ))	\frac{d}{dθ}(2+2\sin(θ))
integral de cos^2(pit)sin(pit)	\int\:\cos^{2}(πt)\sin(πt)dt
derivada de (3x/(x+1))	\frac{d}{dx}(\frac{3x}{x+1})
derivative x^2e^{-7x}	derivative\:x^{2}e^{-7x}
área y=5x,y= 5/x ,x=5	area\:y=5x,y=\frac{5}{x},x=5
derivada de cos(tan(6x))	\frac{d}{dx}(\cos(\tan(6x)))
límite cuando x tiende a infinity de csc(1/x)-cot(1/x)	\lim\:_{x\to\:\infty\:}(\csc(\frac{1}{x})-\cot(\frac{1}{x}))
y^{''}-14y^'+74y=0	y^{\prime\:\prime\:}-14y^{\prime\:}+74y=0
integral de 5xln(2x)	\int\:5x\ln(2x)dx
derivada de 2^{x/2}	\frac{d}{dx}(2^{\frac{x}{2}})
tangent-1/x ,\at x=3	tangent\:-\frac{1}{x},\at\:x=3
derivada de 1/(2sqrt(x+4))	\frac{d}{dx}(\frac{1}{2\sqrt{x+4}})
derivative ln(sqrt((4x+1)/(x^2-1)))	derivative\:\ln(\sqrt{\frac{4x+1}{x^{2}-1}})
integral de 0 a 5 de w/(w-2)	\int\:_{0}^{5}\frac{w}{w-2}dw
límite cuando x tiende a 0 de 3xcos(x)	\lim\:_{x\to\:0}(3x\cos(x))
derivada de (1+e^x/(1-e^x))	\frac{d}{dx}(\frac{1+e^{x}}{1-e^{x}})
integral de (x+3)^{-1/2}	\int\:(x+3)^{-\frac{1}{2}}dx
derivative ze^z	derivative\:ze^{z}
(\partial)/(\partial x)((x^2-1)*(y+2))	\frac{\partial\:}{\partial\:x}((x^{2}-1)\cdot\:(y+2))
derivada de-2e^{3x}	\frac{d}{dx}(-2e^{3x})
y^'=(e^{x-y})/(1+e^x)	y^{\prime\:}=\frac{e^{x-y}}{1+e^{x}}
tangent y=x^4-4x^3+2	tangent\:y=x^{4}-4x^{3}+2
integral de (-e^{-st})/s	\int\:\frac{-e^{-st}}{s}dt
integral de ln(9x)	\int\:\ln(9x)dx
integral de x^3(1-x^2)^{1/2}	\int\:x^{3}(1-x^{2})^{\frac{1}{2}}dx
integral de (2x-1)e^{2x}	\int\:(2x-1)e^{2x}dx
(\partial)/(\partial x)(x*e^{x^3y})	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{x^{3}y})
ydy+(1+y^2)sin(t)dt=0	ydy+(1+y^{2})\sin(t)dt=0
derivada de esqrt(x)	\frac{d}{dx}(e\sqrt{x})
tangent y=1+sqrt(x)	tangent\:y=1+\sqrt{x}
integral de 14tan^3(x)sec(x)	\int\:14\tan^{3}(x)\sec(x)dx
límite cuando x tiende a 0+de x^{x^{1/2}}	\lim\:_{x\to\:0+}(x^{x^{\frac{1}{2}}})
integral de xsin(3x)	\int\:x\sin(3x)dx
área y=2cos(x),y=6-4cos(x),0<= x<= 2pi	area\:y=2\cos(x),y=6-4\cos(x),0\le\:x\le\:2π
(\partial)/(\partial x)(4-2x^2-y^2)	\frac{\partial\:}{\partial\:x}(4-2x^{2}-y^{2})
derivada de e^{-bx^2}	\frac{d}{dx}(e^{-bx^{2}})
derivada de cot(4x^2)	\frac{d}{dx}(\cot(4x^{2}))
integral de 1/(100-y)	\int\:\frac{1}{100-y}dy
(\partial)/(\partial x)(e^{x-2}-y/2)	\frac{\partial\:}{\partial\:x}(e^{x-2}-\frac{y}{2})
derivada de (sin(x)/(3x))	\frac{d}{dx}(\frac{\sin(x)}{3x})
integral de 1.5x^2	\int\:1.5x^{2}dx
derivative (pix)/(16)	derivative\:\frac{πx}{16}
integral de t^{-1/2}	\int\:t^{-\frac{1}{2}}dt
integral de 1/(sqrt(x^2-256))	\int\:\frac{1}{\sqrt{x^{2}-256}}dx
derivada de 20	\frac{d}{dx}(20)
y^'=(y^2)/(x^2)+y/x	y^{\prime\:}=\frac{y^{2}}{x^{2}}+\frac{y}{x}
derivative (arctan(9x))^2	derivative\:(\arctan(9x))^{2}
derivada de ln(sinh(x))	\frac{d}{dx}(\ln(\sinh(x)))
maclaurin (1-x)^{-1/2}	maclaurin\:(1-x)^{-\frac{1}{2}}
f(x)=x^2e^{2x}	f(x)=x^{2}e^{2x}
(cos(2x))^'	(\cos(2x))^{\prime\:}
derivada de 2*x	\frac{d}{dx}(2\cdot\:x)

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