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Problemas populares de Cálculo

(\partial}{\partial x}(\frac{x+y+z)/3)	\frac{\partial\:}{\partial\:x}(\frac{x+y+z}{3})
límite cuando x tiende a 2-de 1/x	\lim\:_{x\to\:2-}(\frac{1}{x})
derivada de (2-x/(x^2+4))	\frac{d}{dx}(\frac{2-x}{x^{2}+4})
integral de 0 a 3/2 de sqrt(9-x^2)	\int\:_{0}^{\frac{3}{2}}\sqrt{9-x^{2}}dx
integral de x^2(3x^2+9)^2	\int\:x^{2}(3x^{2}+9)^{2}dx
integral de csc^3(x)cot^3(x)	\int\:\csc^{3}(x)\cot^{3}(x)dx
límite cuando x tiende a infinity de 1/(10^{2^x)}	\lim\:_{x\to\:\infty\:}(\frac{1}{10^{2^{x}}})
d/(dj)(-4i+5j)	\frac{d}{dj}(-4i+5j)
taylor cos(x),x=0	taylor\:\cos(x),x=0
límite cuando t tiende a 0 de 1/t	\lim\:_{t\to\:0}(\frac{1}{t})
límite cuando x tiende a 7-de e^{3/(7-x)}	\lim\:_{x\to\:7-}(e^{\frac{3}{7-x}})
derivada de (2-ln(x)/(2xsqrt(x)))	\frac{d}{dx}(\frac{2-\ln(x)}{2x\sqrt{x}})
laplacetransformación cos(2pit)	laplacetransform\:\cos(2πt)
t^2y^{''}-6ty^'+10y=0	t^{2}y^{\prime\:\prime\:}-6ty^{\prime\:}+10y=0
derivada de ln(x^5(x+4^7(x^2+4)^5))	\frac{d}{dx}(\ln(x^{5}(x+4)^{7}(x^{2}+4)^{5}))
integral de 0 a 4 de \|sqrt(x+2)-x\|	\int\:_{0}^{4}\left\|\sqrt{x+2}-x\right\|dx
integral de (y^2+16)/y	\int\:\frac{y^{2}+16}{y}dy
derivada de ln((x^3-2x/(4+x)))	\frac{d}{dx}(\ln(\frac{x^{3}-2x}{4+x}))
derivative f(x)=(2x+1)/(x+2)	derivative\:f(x)=\frac{2x+1}{x+2}
derivada de (sqrt(x)/2)	\frac{d}{dx}(\frac{\sqrt{x}}{2})
11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9	11x-6y\sqrt{x^{2}+1}\frac{dy}{dx}=0,y(0)=9
derivative y=(2/((2x-6) 3/2))	derivative\:y=(\frac{2}{(2x-6)\frac{3}{2}})
tangent-sin(x/2)	tangent\:-\sin(\frac{x}{2})
límite cuando x tiende a-1 de 10x(14x-3)	\lim\:_{x\to\:-1}(10x(14x-3))
integral de ((arctan(x))^5)/(1+x^2)	\int\:\frac{(\arctan(x))^{5}}{1+x^{2}}dx
integral de (x^4+1)/(x^3+x^2)	\int\:\frac{x^{4}+1}{x^{3}+x^{2}}dx
(\partial)/(\partial y)(tan(1+2x^2y^4z^2))	\frac{\partial\:}{\partial\:y}(\tan(1+2x^{2}y^{4}z^{2}))
derivative f(x)=3sin(x)+ln(5x)	derivative\:f(x)=3\sin(x)+\ln(5x)
integral de-2 a 2 de sqrt(4-x^2)	\int\:_{-2}^{2}\sqrt{4-x^{2}}dx
límite cuando x tiende a 2 de e^{1/(2-x)}	\lim\:_{x\to\:2}(e^{\frac{1}{2-x}})
tangent y=2+1/x ,(2,2.5)	tangent\:y=2+\frac{1}{x},(2,2.5)
integral de csc^8(x)	\int\:\csc^{8}(x)dx
integral de sin(x)-1/3 sin^3(x)	\int\:\sin(x)-\frac{1}{3}\sin^{3}(x)dx
integral de 10e^{-30t}sin(40t)	\int\:10e^{-30t}\sin(40t)dt
derivada de 2pisqrt(x/({g(x))})	\frac{d}{dx}(2π\sqrt{\frac{x}{{g}(x)}})
y^'-2y=x	y^{\prime\:}-2y=x
(\partial)/(\partial x)(log_{3}(7^{x^2-4}))	\frac{\partial\:}{\partial\:x}(\log_{3}(7^{x^{2}-4}))
integral de 0 a 5 de (5x^2-x^3)	\int\:_{0}^{5}(5x^{2}-x^{3})dx
integral de 5/(4-3x)	\int\:\frac{5}{4-3x}dx
integral de (ln(x))^2 1/(x^2)	\int\:(\ln(x))^{2}\frac{1}{x^{2}}dx
(\partial)/(\partial x)(sin(5xy+4yz+7xz))	\frac{\partial\:}{\partial\:x}(\sin(5xy+4yz+7xz))
tangent f(x)=(-8x)/(x^2+1),(0,0)	tangent\:f(x)=\frac{-8x}{x^{2}+1},(0,0)
integral de 2 a 5 de sqrt(x)	\int\:_{2}^{5}\sqrt{x}dx
integral de e^{-1/2 z^2}	\int\:e^{-\frac{1}{2}z^{2}}
(dx)/(dt)=0.6-(5x)/(1000+t)	\frac{dx}{dt}=0.6-\frac{5x}{1000+t}
derivative y=ln(sqrt(x+4))	derivative\:y=\ln(\sqrt{x+4})
límite cuando x tiende a 0 de \|e^x-1\|	\lim\:_{x\to\:0}(\left\|e^{x}-1\right\|)
integral de sqrt(1+9x)	\int\:\sqrt{1+9x}dx
xy^{''}+2y^'=16x^2	xy^{\prime\:\prime\:}+2y^{\prime\:}=16x^{2}
integral de 0 a N de e^{(-st)}e^{-5t}	\int\:_{0}^{N}e^{(-st)}e^{-5t}dt
derivative 2000+530(ln(x))	derivative\:2000+530(\ln(x))
integral de 1 a 16 de sqrt(t)ln(t)	\int\:_{1}^{16}\sqrt{t}\ln(t)dt
paridad xtan(x)	parity\:x\tan(x)
límite cuando θ tiende a 0 de (1-cos(θ))/θ	\lim\:_{θ\to\:0}(\frac{1-\cos(θ)}{θ})
área y=x^4,y=8x	area\:y=x^{4},y=8x
integral de 1 a 6 de x^2	\int\:_{1}^{6}x^{2}dx
límite cuando x tiende a 0 de (1-x)/(2+x)	\lim\:_{x\to\:0}(\frac{1-x}{2+x})
y^{''}+y=3x	y^{\prime\:\prime\:}+y=3x
tangent f(x)=sqrt(x+3),(1,2)	tangent\:f(x)=\sqrt{x+3},(1,2)
área f(x)=x^2-3,y=-2x	area\:f(x)=x^{2}-3,y=-2x
integral de cot(36x)	\int\:\cot(36x)dx
área 3(x^3-x),0,0,1	area\:3(x^{3}-x),0,0,1
integral de 1/(x^4-10x^2+9)	\int\:\frac{1}{x^{4}-10x^{2}+9}dx
límite cuando x tiende a 0 de (1-3x)^{4/x}	\lim\:_{x\to\:0}((1-3x)^{\frac{4}{x}})
límite cuando x tiende a infinity de x^2+6x	\lim\:_{x\to\:\infty\:}(x^{2}+6x)
integral de-1 a 1 de \|2x-1\|	\int\:_{-1}^{1}\left\|2x-1\right\|dx
derivada de 2tan(cos(3x))	\frac{d}{dx}(2\tan(\cos(3x)))
integral de sin(29x)	\int\:\sin(29x)dx
integral de 0 a ln(4) de (e^x)/(sqrt(e^{2x)+81)}	\int\:_{0}^{\ln(4)}\frac{e^{x}}{\sqrt{e^{2x}+81}}dx
derivative f(x)=(x^3-6x^2+3)/(x^2)	derivative\:f(x)=\frac{x^{3}-6x^{2}+3}{x^{2}}
integral de tan^3(θ)sec^3(θ)	\int\:\tan^{3}(θ)\sec^{3}(θ)dθ
y^'=-(2x)/((1+x^2))y+1/(x(1+x^2))	y^{\prime\:}=-\frac{2x}{(1+x^{2})}y+\frac{1}{x(1+x^{2})}
integral de-1 a 1 de x^2-x-1	\int\:_{-1}^{1}x^{2}-x-1dx
(4/3)^'	(\frac{4}{3})^{\prime\:}
derivada de ln(5x^2+3y^2)	\frac{d}{dx}(\ln(5x^{2}+3y^{2}))
(1+e^{2x})^'	(1+e^{2x})^{\prime\:}
d/(dy)(y^3+xy^2+y)	\frac{d}{dy}(y^{3}+xy^{2}+y)
límite cuando x tiende a (2pi)/3 de-tan(2x)	\lim\:_{x\to\:\frac{2π}{3}}(-\tan(2x))
derivada de \sqrt[4]{x+1}	\frac{d}{dx}(\sqrt[4]{x+1})
y^'+2/(200+t)y=3	y^{\prime\:}+\frac{2}{200+t}y=3
derivative (x-4)(x+5)(x+4)	derivative\:(x-4)(x+5)(x+4)
(\partial)/(\partial x)(6y^7x^5-5y^6x^4)	\frac{\partial\:}{\partial\:x}(6y^{7}x^{5}-5y^{6}x^{4})
integral de (18)/(sqrt(1-x^2))	\int\:\frac{18}{\sqrt{1-x^{2}}}dx
integral de (cos^3(3x))/(sin^5(3x))	\int\:\frac{\cos^{3}(3x)}{\sin^{5}(3x)}dx
integral de-1/(2-x)	\int\:-\frac{1}{2-x}dx
derivative f(x)=cot^5(x)	derivative\:f(x)=\cot^{5}(x)
(x^2-y^2)dx+xydy=0	(x^{2}-y^{2})dx+xydy=0
integral de 7 a 13 de y/(y^2-3y-4)	\int\:_{7}^{13}\frac{y}{y^{2}-3y-4}dy
f^{'''}(x)=6(x^{-2})	f^{\prime\:\prime\:\prime\:}(x)=6(x^{-2})
inversalaplace (s+10)/(s^2-s-2)	inverselaplace\:\frac{s+10}{s^{2}-s-2}
integral de 2 a 4 de (2/x+3x)^2	\int\:_{2}^{4}(\frac{2}{x}+3x)^{2}dx
integral de e^x-e^{2x}	\int\:e^{x}-e^{2x}dx
inversalaplace 1/(s-2)	inverselaplace\:\frac{1}{s-2}
derivative sin(3x^5+5x^4)	derivative\:\sin(3x^{5}+5x^{4})
x(dy)/(dx)+y/(x+1)=x(x+1)	x\frac{dy}{dx}+\frac{y}{x+1}=x(x+1)
límite cuando x tiende a-1 de (x^{100})/1	\lim\:_{x\to\:-1}(\frac{x^{100}}{1})
integral de sin^2((npix)/L)	\int\:\sin^{2}(\frac{nπx}{L})dx
derivada de 1-(x+1e^{-x})	\frac{d}{dx}(1-(x+1)e^{-x})
integral de (2x^5)/(sqrt(1-6x^6))	\int\:\frac{2x^{5}}{\sqrt{1-6x^{6}}}dx
f(x)=sin(sqrt(x))	f(x)=\sin(\sqrt{x})

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