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Problemas populares de Cálculo

y^'-ty^3=0,y(0)=2	y^{\prime\:}-ty^{3}=0,y(0)=2
integral de sin(t)tan(t)	\int\:\sin(t)\tan(t)dt
derivative 14x(x^2+4)^6	derivative\:14x(x^{2}+4)^{6}
derivative 5x^2cos(x)cot(x)	derivative\:5x^{2}\cos(x)\cot(x)
integral de (\sqrt[5]{2x+1})	\int\:(\sqrt[5]{2x+1})dx
y^{''}=9t^2	y^{\prime\:\prime\:}=9t^{2}
integral de cos(n)pix	\int\:\cos(n)πxdx
integral de (pi-x)	\int\:(π-x)dx
integral de x+9	\int\:x+9dx
integral de e^{-3x+2}	\int\:e^{-3x+2}dx
(\partial)/(\partial x)((x^2)(y^3))	\frac{\partial\:}{\partial\:x}((x^{2})(y^{3}))
derivative ln(\sqrt[3]{x})	derivative\:\ln(\sqrt[3]{x})
integral de (x^2+3x-2)	\int\:(x^{2}+3x-2)dx
f(u)=sqrt(u)	f(u)=\sqrt{u}
derivada de (sqrt(25-x^2)/(8x))	\frac{d}{dx}(\frac{\sqrt{25-x^{2}}}{8x})
integral de (30)/(1-cos(6x))	\int\:\frac{30}{1-\cos(6x)}dx
integral de (18)/(1-cos(3x))	\int\:\frac{18}{1-\cos(3x)}dx
derivative-7x^3e^x-21x^2e^x	derivative\:-7x^{3}e^{x}-21x^{2}e^{x}
límite cuando x tiende a 2+de (x-2)^2	\lim\:_{x\to\:2+}((x-2)^{2})
derivative 3x^2+6x+4	derivative\:3x^{2}+6x+4
derivada de sqrt((2x/(4x-3)))	\frac{d}{dx}(\sqrt{\frac{2x}{4x-3}})
integral de \sqrt[13]{x^3}	\int\:\sqrt[13]{x^{3}}dx
laplacetransformación 14t-sin(7t)	laplacetransform\:14t-\sin(7t)
integral de (e^xcos(x))	\int\:(e^{x}\cos(x))dx
límite cuando x tiende a 2 de sqrt(x(x-1))	\lim\:_{x\to\:2}(\sqrt{x(x-1)})
simplificar ln(\sqrt[5]{x})	simplify\:\ln(\sqrt[5]{x})
taylor sqrt(x),2	taylor\:\sqrt{x},2
integral de cos(2ln(x))	\int\:\cos(2\ln(x))dx
integral de (-2/(sqrt(11-11x^2)))	\int\:(-\frac{2}{\sqrt{11-11x^{2}}})dx
derivada de ln(x^3+7/(sqrt(x)))	\frac{d}{dx}(\ln(x^{3})+\frac{7}{\sqrt{x}})
integral de 5/(x^2+6x+10)	\int\:\frac{5}{x^{2}+6x+10}dx
derivada de (4cos(2x)/(3-sin(2x)))	\frac{d}{dx}(\frac{4\cos(2x)}{3-\sin(2x)})
derivada de (x-4/(x^2-2x+8))	\frac{d}{dx}(\frac{x-4}{x^{2}-2x+8})
(\partial)/(\partial x)((x^2-y^2)ln(xy))	\frac{\partial\:}{\partial\:x}((x^{2}-y^{2})\ln(xy))
derivada de 9sin^2(x)	\frac{d}{dx}(9\sin^{2}(x))
área y=x^2-14,y=13x	area\:y=x^{2}-14,y=13x
derivada de-(x^3+x-1/2)	\frac{d}{dx}(-\frac{x^{3}+x-1}{2})
inversalaplace (10)/((s(s+1)))	inverselaplace\:\frac{10}{(s(s+1))}
sin^2(y)dx+xsin(2y)dy=0	\sin^{2}(y)dx+x\sin(2y)dy=0
integral de sin^3(7x)	\int\:\sin^{3}(7x)dx
integral de 8e^{4x}	\int\:8e^{4x}dx
derivative y=6sqrt(x)	derivative\:y=6\sqrt{x}
integral de-1 a 1 de 2/(x^2+1)	\int\:_{-1}^{1}\frac{2}{x^{2}+1}dx
(d^2)/(dx^2)((x^3+8x)^{12})	\frac{d^{2}}{dx^{2}}((x^{3}+8x)^{12})
f(x)=-cos(5x)	f(x)=-\cos(5x)
integral de-(x^2)/x	\int\:-\frac{x^{2}}{x}dx
derivative (1-5x-x^2)/(x^2-3)	derivative\:\frac{1-5x-x^{2}}{x^{2}-3}
(e^{2x}+4)y^'=y	(e^{2x}+4)y^{\prime\:}=y
integral de (2x+1)^5	\int\:(2x+1)^{5}dx
y^{''}-2y^'-3y=3x^2-5	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=3x^{2}-5
(dy)/(dx)=(y^2)/(e^x)	\frac{dy}{dx}=\frac{y^{2}}{e^{x}}
derivative y=14^{-8/x}	derivative\:y=14^{-\frac{8}{x}}
derivada de sqrt(20+x)	\frac{d}{dx}(\sqrt{20+x})
(\partial)/(\partial x)((xy-3)e^{-xy})	\frac{\partial\:}{\partial\:x}((xy-3)e^{-xy})
y^{''}-4y^'+3y=3x^2-5x+1	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=3x^{2}-5x+1
integral de (4x^2+2)/(1+x^2)	\int\:\frac{4x^{2}+2}{1+x^{2}}dx
integral de 1 a 5 de 3/(x^2)	\int\:_{1}^{5}\frac{3}{x^{2}}dx
x^2y^{''}-4xy^'+6y=0	x^{2}y^{\prime\:\prime\:}-4xy^{\prime\:}+6y=0
t^2(dy)/(dt)-t=1+y+ty,y(1)=3	t^{2}\frac{dy}{dt}-t=1+y+ty,y(1)=3
(\partial)/(\partial x)(2(x-y)e^{2y+x^2})	\frac{\partial\:}{\partial\:x}(2(x-y)e^{2y+x^{2}})
integral de 8xcos^2(x)	\int\:8x\cos^{2}(x)dx
(\partial)/(\partial x)((x-7)^2+(y-1)^2+29)	\frac{\partial\:}{\partial\:x}((x-7)^{2}+(y-1)^{2}+29)
límite cuando x tiende a 4 de 3/(x-4)	\lim\:_{x\to\:4}(\frac{3}{x-4})
límite cuando n tiende a infinity de \sum_{i=3}^8(i+1)^2	\lim\:_{n\to\:\infty\:}(\sum\:_{i=3}^{8}(i+1)^{2})
integral de 1/(sqrt(11-x^2))	\int\:\frac{1}{\sqrt{11-x^{2}}}dx
integral de (3/(x^7))	\int\:(\frac{3}{x^{7}})dx
integral de ((x^5+2))/(x^2-1)	\int\:\frac{(x^{5}+2)}{x^{2}-1}dx
integral de sin(16x)cos(13x)	\int\:\sin(16x)\cos(13x)dx
integral de 0 a 1 de 13e^{x^2}	\int\:_{0}^{1}13e^{x^{2}}dx
límite cuando x tiende a 4 de-x+4	\lim\:_{x\to\:4}(-x+4)
integral de (4e^x+12x^{3/2}+4x^{1/2})	\int\:(4e^{x}+12x^{\frac{3}{2}}+4x^{\frac{1}{2}})dx
tangent x^2-4,\at x=3	tangent\:x^{2}-4,\at\:x=3
derivative (ln(x))/(10x)	derivative\:\frac{\ln(x)}{10x}
derivada de (2x+cos(2x)/(x^2+sin(2x)))	\frac{d}{dx}(\frac{2x+\cos(2x)}{x^{2}+\sin(2x)})
(\partial)/(\partial x)((x^2+y^2)e^{-x})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})e^{-x})
límite cuando x tiende a 1 de 4/(x^2-1)	\lim\:_{x\to\:1}(\frac{4}{x^{2}-1})
derivada de (3x+1^4)	\frac{d}{dx}((3x+1)^{4})
derivada de cos(y(dy)/(dx))	\frac{d}{dx}(\cos(y)\frac{dy}{dx})
derivative 5x^{-4}	derivative\:5x^{-4}
integral de (sqrt(x)+1)*(x-sqrt(x)+1)	\int\:(\sqrt{x}+1)\cdot\:(x-\sqrt{x}+1)dx
e^{x+y}dx+dy=0	e^{x+y}dx+dy=0
(\partial)/(\partial z)(4y(z+1)^2)	\frac{\partial\:}{\partial\:z}(4y(z+1)^{2})
integral de (10x)	\int\:(10x)dx
derivada de (2x^2+6x+2/(sqrt(x)))	\frac{d}{dx}(\frac{2x^{2}+6x+2}{\sqrt{x}})
límite cuando x tiende a 3-de k(x)(x-5)	\lim\:_{x\to\:3-}(k(x)(x-5))
(\partial)/(\partial z)(e^{xy}+ln(2xz)+sin(x^2y^2))	\frac{\partial\:}{\partial\:z}(e^{xy}+\ln(2xz)+\sin(x^{2}y^{2}))
derivada de (x{g}(x(x)^{x-1})/(x^2+1))	\frac{d}{dx}(\frac{x{g}(x)(x)^{x-1}}{x^{2}+1})
derivative 3x^2+3x	derivative\:3x^{2}+3x
derivada de 2ln(x-(x^2)/(16))	\frac{d}{dx}(2\ln(x)-\frac{x^{2}}{16})
integral de x/(sqrt(9x^2-4))	\int\:\frac{x}{\sqrt{9x^{2}-4}}dx
y^{''}+6y^'+34y=68,y(0)=5,y^'(0)=7	y^{\prime\:\prime\:}+6y^{\prime\:}+34y=68,y(0)=5,y^{\prime\:}(0)=7
integral de x^{0.813}	\int\:x^{0.813}dx
xy+y^'=18x	xy+y^{\prime\:}=18x
derivada de (({g}(x)^2)/(h(x)))	\frac{d}{dx}(\frac{({g}(x))^{2}}{h(x)})
derivada de ln((2-x/(2+x)))	\frac{d}{dx}(\ln(\frac{2-x}{2+x}))
integral de (arctan^4(x))/(1+x^2)	\int\:\frac{\arctan^{4}(x)}{1+x^{2}}dx
límite cuando x tiende a 0 de ln((1/x)^x)	\lim\:_{x\to\:0}(\ln((\frac{1}{x})^{x}))
integral de ((ln(x))/(sqrt(x^3)))	\int\:(\frac{\ln(x)}{\sqrt{x^{3}}})dx
derivada de (10/((x-2)^3))	\frac{d}{dx}(\frac{10}{(x-2)^{3}})
(\partial)/(\partial y)(sqrt(4x^2+6xy+y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{4x^{2}+6xy+y^{2}})

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