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Problemas populares

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Problemas populares de Cálculo

derivative 3pir^2	derivative\:3πr^{2}
derivada de x^2e^{-0.04x}	\frac{d}{dx}(x^{2}e^{-0.04x})
(\partial)/(\partial y)(xe^{-2x})	\frac{\partial\:}{\partial\:y}(xe^{-2x})
(\partial)/(\partial x)(xy^2z)	\frac{\partial\:}{\partial\:x}(xy^{2}z)
integral de (3-x)^3	\int\:(3-x)^{3}dx
normal y=x^4+8e^x,(0,8)	normal\:y=x^{4}+8e^{x},(0,8)
integral de cos(2x+3)	\int\:\cos(2x+3)dx
derivada de 4-x^3	\frac{d}{dx}(4-x^{3})
(dy)/(dt)= t/(t^2y+y),y(0)=7	\frac{dy}{dt}=\frac{t}{t^{2}y+y},y(0)=7
límite cuando x tiende a 7-de \|x-7\|	\lim\:_{x\to\:7-}(\left\|x-7\right\|)
serie de n=1 a infinity de 7/(n8^n)	\sum\:_{n=1}^{\infty\:}\frac{7}{n8^{n}}
integral de-infinity a-1 de 3/(x^2)	\int\:_{-\infty\:}^{-1}\frac{3}{x^{2}}dx
y^{''}+8y^'+32y=-320sin(4x)	y^{\prime\:\prime\:}+8y^{\prime\:}+32y=-320\sin(4x)
(dy)/(dx)+y/(x(x-1))=(x-1)	\frac{dy}{dx}+\frac{y}{x(x-1)}=(x-1)
(\partial)/(\partial x)(e^{x^2}+2xy)	\frac{\partial\:}{\partial\:x}(e^{x^{2}}+2xy)
integral de x^{1/2}ln(x)	\int\:x^{\frac{1}{2}}\ln(x)dx
derivada de a+bx^2	\frac{d}{dx}(a+bx^{2})
límite cuando x tiende a-2 de g(x)	\lim\:_{x\to\:-2}(g(x))
área y=e^{-0.6x},y=1.4x+1,x=0,x=5	area\:y=e^{-0.6x},y=1.4x+1,x=0,x=5
derivada de in(x-1)	\frac{d}{dx}(in(x-1))
y^{''}-y=e^{-x}	y^{\prime\:\prime\:}-y=e^{-x}
simplificar (3x^2)^{2x}(x^2+2x)^2	simplify\:(3x^{2})^{2x}(x^{2}+2x)^{2}
(\partial)/(\partial x)(((3x-y))/(3x+y))	\frac{\partial\:}{\partial\:x}(\frac{(3x-y)}{3x+y})
integral de 0 a (3pi)/2 de cos^3(5x)	\int\:_{0}^{\frac{3π}{2}}\cos^{3}(5x)dx
integral de 0 a 3 de sqrt(x^2+9)	\int\:_{0}^{3}\sqrt{x^{2}+9}dx
tangent y=2x^3+3x^2-12x+2	tangent\:y=2x^{3}+3x^{2}-12x+2
integral de x^2-x-6	\int\:x^{2}-x-6dx
derivada de 4sin(4x)	\frac{d}{dx}(4\sin(4x))
(\partial)/(\partial y)(xy+y^2)	\frac{\partial\:}{\partial\:y}(xy+y^{2})
y^'=y(1000-y)	y^{\prime\:}=y(1000-y)
derivada de ln(cosh(7x))	\frac{d}{dx}(\ln(\cosh(7x)))
integral de x^2+x^2	\int\:x^{2}+x^{2}dx
integral de-ke^{-kx}	\int\:-ke^{-kx}dx
integral de (cos(pi/(x^{33)}))/(x^{34)}	\int\:\frac{\cos(\frac{π}{x^{33}})}{x^{34}}dx
(\partial)/(\partial x)(1/(x-1))	\frac{\partial\:}{\partial\:x}(\frac{1}{x-1})
(\partial}{\partial x}(e^{\frac{xy)/z})	\frac{\partial\:}{\partial\:x}(e^{\frac{xy}{z}})
taylor (e^x)/(cos(x))	taylor\:\frac{e^{x}}{\cos(x)}
derivada de \sqrt[4]{9x}	\frac{d}{dx}(\sqrt[4]{9x})
integral de sin(3z)cos^2(3z)	\int\:\sin(3z)\cos^{2}(3z)dz
integral de xsec^2(x^2)	\int\:x\sec^{2}(x^{2})dx
serie de n=0 a infinity de (1/5)^n	\sum\:_{n=0}^{\infty\:}(\frac{1}{5})^{n}
derivative 12arcsin(e^{x/2})	derivative\:12\arcsin(e^{\frac{x}{2}})
derivative (7sqrt(x))/8	derivative\:\frac{7\sqrt{x}}{8}
(dy)/(dx)+5y=0,y(0)=2	\frac{dy}{dx}+5y=0,y(0)=2
tangent f(x)=x^3-4x+6,\at x=2	tangent\:f(x)=x^{3}-4x+6,\at\:x=2
integral de (x^2+1)/((x-3)(x-2)^2)	\int\:\frac{x^{2}+1}{(x-3)(x-2)^{2}}dx
derivative f(x)=(-x^2+9)^2	derivative\:f(x)=(-x^{2}+9)^{2}
integral de cosh(3x)	\int\:\cosh(3x)dx
x(dy)/(dx)-y=sqrt(x^2-y^2)	x\frac{dy}{dx}-y=\sqrt{x^{2}-y^{2}}
integral de sin^3(x)cos^{3/2}(x)	\int\:\sin^{3}(x)\cos^{\frac{3}{2}}(x)dx
x(dy)/(dx)-3y=xy^4	x\frac{dy}{dx}-3y=xy^{4}
límite cuando x tiende a 0 de (1-3x)^{2/x}	\lim\:_{x\to\:0}((1-3x)^{\frac{2}{x}})
integral de 1/((x^2-4x+5)^2)	\int\:\frac{1}{(x^{2}-4x+5)^{2}}dx
tangent f(x)=3x^2+x-2,\at x=1	tangent\:f(x)=3x^{2}+x-2,\at\:x=1
integral de (x-2)/(x^2-x+1)	\int\:\frac{x-2}{x^{2}-x+1}dx
(\partial)/(\partial x)(7e^{xy}ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(7e^{xy}\ln(x^{2}+y^{2}))
derivada de x^{-5/3}	\frac{d}{dx}(x^{-\frac{5}{3}})
inversalaplace 1/(2s+4)	inverselaplace\:\frac{1}{2s+4}
área f(x)=x^2-3,g(x)=5-x^2	area\:f(x)=x^{2}-3,g(x)=5-x^{2}
derivative f(x)=6+4sqrt(x)	derivative\:f(x)=6+4\sqrt{x}
derivative e^{x+4}+8	derivative\:e^{x+4}+8
derivative (x-y)/(x+y)	derivative\:\frac{x-y}{x+y}
integral de y/(sqrt(1-y^2))	\int\:\frac{y}{\sqrt{1-y^{2}}}dy
(\partial)/(\partial z)(y^2)	\frac{\partial\:}{\partial\:z}(y^{2})
límite cuando x tiende a 0 de ln(-1)	\lim\:_{x\to\:0}(\ln(-1))
integral de (25)/((x-4)(x^2+9))	\int\:\frac{25}{(x-4)(x^{2}+9)}dx
derivative f(x)=sqrt(x)+40	derivative\:f(x)=\sqrt{x}+40
límite cuando n tiende a infinity de 1+1/n	\lim\:_{n\to\:\infty\:}(1+\frac{1}{n})
y^'+2ty=2t	y^{\prime\:}+2ty=2t
tangent y=7+5x^2-2x^3	tangent\:y=7+5x^{2}-2x^{3}
área sqrt(x),x^3	area\:\sqrt{x},x^{3}
derivative-(12x)/((6x^2+5)^2)	derivative\:-\frac{12x}{(6x^{2}+5)^{2}}
derivative 1/x+1/(x^3)-4/(sqrt(x))	derivative\:\frac{1}{x}+\frac{1}{x^{3}}-\frac{4}{\sqrt{x}}
derivada de x/(x^2-x+25)	\frac{d}{dx}(\frac{x}{x^{2}-x+25})
d/(dt)(t^ne^{at})	\frac{d}{dt}(t^{n}e^{at})
integral de (3x+4)^2	\int\:(3x+4)^{2}dx
límite cuando x tiende a 2 de (\|x-2\|)/(2-x)	\lim\:_{x\to\:2}(\frac{\left\|x-2\right\|}{2-x})
límite cuando x tiende a 0 de-2x^2	\lim\:_{x\to\:0}(-2x^{2})
inversalaplace 2/(s(s+2)(s+3))	inverselaplace\:\frac{2}{s(s+2)(s+3)}
serie de n=1 a infinity de (-2/3)^{n-1}	\sum\:_{n=1}^{\infty\:}(-\frac{2}{3})^{n-1}
integral de 3 a 9 de 1/(x^2-1)	\int\:_{3}^{9}\frac{1}{x^{2}-1}dx
(\partial)/(\partial x)(sqrt(4-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4-x^{2}-y^{2}})
integral de (3-cos(x))/(sin^2(x))	\int\:\frac{3-\cos(x)}{\sin^{2}(x)}dx
integral de-8 a 0 de 1/((x-8)^2)	\int\:_{-8}^{0}\frac{1}{(x-8)^{2}}dx
(dy)/(dx)=((y^2+4))/(2xy)	\frac{dy}{dx}=\frac{(y^{2}+4)}{2xy}
(dy)/(dx)=(cos(8x))/(cos(4y))	\frac{dy}{dx}=\frac{\cos(8x)}{\cos(4y)}
inversalaplace (s+3)/(s+5)	inverselaplace\:\frac{s+3}{s+5}
integral de e^{i7x}cos(3x)	\int\:e^{i7x}\cos(3x)dx
integral de-2 a 1 de (2x^2+3)	\int\:_{-2}^{1}(2x^{2}+3)dx
derivada de 1+cos(x)	\frac{d}{dx}(1+\cos(x))
integral de 4x+3	\int\:4x+3dx
derivada de-sin(2x-2cos(x))	\frac{d}{dx}(-\sin(2x)-2\cos(x))
derivada de (4x^2+6x+6/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+6x+6}{\sqrt{x}})
integral de x^3*ln(2x)	\int\:x^{3}\cdot\:\ln(2x)dx
inversalaplace (s+5)/(s(s^2+5s+6))	inverselaplace\:\frac{s+5}{s(s^{2}+5s+6)}
y^{'''}-y^{''}=xe^x	y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}=xe^{x}
tangent (x^2+4)y=8,(-2,1)	tangent\:(x^{2}+4)y=8,(-2,1)
inversalaplace ((s+2))/(s^2+s+1)	inverselaplace\:\frac{(s+2)}{s^{2}+s+1}
derivada de (dy/(dx))+9y=0	\frac{d}{dx}(\frac{dy}{dx})+9y=0
integral de e^x(x+1)cos(xe^x)	\int\:e^{x}(x+1)\cos(xe^{x})dx

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