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Problemas populares Cálculo

límite cuando x tiende a 0 de 1/(x+2)-1/2	\lim\:_{x\to\:0}(\frac{1}{x+2}-\frac{1}{2})
derivative y=4x^{-3}	derivative\:y=4x^{-3}
límite cuando (x,y) tiende a (-1,1) de x+y	\lim\:_{(x,y)\to\:(-1,1)}(x+y)
integral de 0 a 1 de (x^3)/(1+x^3)	\int\:_{0}^{1}\frac{x^{3}}{1+x^{3}}dx
d/(dt)(-2cos(t))	\frac{d}{dt}(-2\cos(t))
y^{''}=-ay	y^{\prime\:\prime\:}=-ay
derivada de-2cos(-3x+7)	\frac{d}{dx}(-2\cos(-3x+7))
integral de e^{2x+7}	\int\:e^{2x+7}dx
integral de (2-x)^{1/2}	\int\:(2-x)^{\frac{1}{2}}dx
límite cuando x tiende a 5 de sqrt(6x-4)	\lim\:_{x\to\:5}(\sqrt{6x-4})
integral de 3x^2+2x+1	\int\:3x^{2}+2x+1dx
y^{''}+y=4csc^2(t)	y^{\prime\:\prime\:}+y=4\csc^{2}(t)
límite cuando x tiende a 0 de 1+x	\lim\:_{x\to\:0}(1+x)
derivada de (24/x)	\frac{d}{dx}(\frac{24}{x})
integral de x a x^2 de e^{t^4}	\int\:_{x}^{x^{2}}e^{t^{4}}dt
integral de-1 a 3 de (2x+3)^2	\int\:_{-1}^{3}(2x+3)^{2}dx
derivative (x-y)/x	derivative\:\frac{x-y}{x}
derivada de (x^2(x+3)/(16(x^2-4)))	\frac{d}{dx}(\frac{x^{2}(x+3)}{16(x^{2}-4)})
(dy)/(dx)=y,y(11)=3	\frac{dy}{dx}=y,y(11)=3
integral de 1/(x^2-x-6)	\int\:\frac{1}{x^{2}-x-6}dx
(\partial)/(\partial x)(-y/x)	\frac{\partial\:}{\partial\:x}(-\frac{y}{x})
tangent f(x)=((x))/(x-4)	tangent\:f(x)=\frac{(x)}{x-4}
(\partial)/(\partial x)(sin(x^2+5))	\frac{\partial\:}{\partial\:x}(\sin(x^{2}+5))
(8-r^2)dr=r^3sin(θ)dθ	(8-r^{2})dr=r^{3}\sin(θ)dθ
integral de 0 a 1 de (x-6)/(x^2-6x+8)	\int\:_{0}^{1}\frac{x-6}{x^{2}-6x+8}dx
3x(dy)/(dx)=sqrt(x^2-4)	3x\frac{dy}{dx}=\sqrt{x^{2}-4}
límite cuando x tiende a 4 de 2x^2-2x	\lim\:_{x\to\:4}(2x^{2}-2x)
integral de-infinity a 6 de re^{r/2}	\int\:_{-\infty\:}^{6}re^{\frac{r}{2}}dr
(\partial)/(\partial x)(4y^3)	\frac{\partial\:}{\partial\:x}(4y^{3})
(dy)/(dt)=3y+e^{7t}	\frac{dy}{dt}=3y+e^{7t}
derivative 7(5^x)	derivative\:7(5^{x})
derivada de e^{x+1}-1	\frac{d}{dx}(e^{x+1}-1)
tangent f(x)=5xcos(x),\at x=pi	tangent\:f(x)=5x\cos(x),\at\:x=π
derivative f(x)=(x^x+1)^2	derivative\:f(x)=(x^{x}+1)^{2}
derivada de (2x-1(x^2-6x+3))	\frac{d}{dx}((2x-1)(x^{2}-6x+3))
(dy)/(dt)= 1/(1+y)	\frac{dy}{dt}=\frac{1}{1+y}
integral de sqrt(1+sin(2x))	\int\:\sqrt{1+\sin(2x)}dx
tangent f(x)=x^2,\at x=7	tangent\:f(x)=x^{2},\at\:x=7
límite cuando h tiende a 6 de (4h)/(h-6)	\lim\:_{h\to\:6}(\frac{4h}{h-6})
derivada de-tan(9x)	\frac{d}{dx}(-\tan(9x))
límite cuando x tiende a 0 de [(2x+1)(x-3)]	\lim\:_{x\to\:0}([(2x+1)(x-3)])
derivative y=2x+5/x	derivative\:y=2x+\frac{5}{x}
área f(x)=ln(2x),y=0,y=2	area\:f(x)=\ln(2x),y=0,y=2
límite cuando x tiende a 9-de ca+2	\lim\:_{x\to\:9-}(ca+2)
integral de 3x+6	\int\:3x+6dx
integral de y^2(4-y^3)^{2/3}	\int\:y^{2}(4-y^{3})^{\frac{2}{3}}dy
(\partial)/(\partial x)(x^2 y/(x^4+y^2))	\frac{\partial\:}{\partial\:x}(x^{2}\frac{y}{x^{4}+y^{2}})
área x^4+x^3,x^4+x^2+6x	area\:x^{4}+x^{3},x^{4}+x^{2}+6x
y^{''}-3y^'+2y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=0
derivada de (sqrt(9-x^2)/(8x))	\frac{d}{dx}(\frac{\sqrt{9-x^{2}}}{8x})
serie de n=1 a infinity de ((x^n))/(\sqrt[7]{n)}	\sum\:_{n=1}^{\infty\:}\frac{(x^{n})}{\sqrt[7]{n}}
derivative-2sqrt(x)	derivative\:-2\sqrt{x}
integral de t^2-2cos(t)	\int\:t^{2}-2\cos(t)dt
integral de (14x+6x)	\int\:(14x+6x)dx
y^'+y=yxe^{x+2}	y^{\prime\:}+y=yxe^{x+2}
integral de x/(\sqrt[3]{x+4)}	\int\:\frac{x}{\sqrt[3]{x+4}}dx
límite cuando x tiende a 3 de 1/((x-3)^8)	\lim\:_{x\to\:3}(\frac{1}{(x-3)^{8}})
límite cuando x tiende a-3 de (x^2-9)/(3+x)	\lim\:_{x\to\:-3}(\frac{x^{2}-9}{3+x})
derivada de 2/(3x^{1/3})	\frac{d}{dx}(\frac{2}{3x^{\frac{1}{3}}})
integral de 3 a 5 de x/(x^2-3)	\int\:_{3}^{5}\frac{x}{x^{2}-3}dx
derivative (6x^2-10x)e^x	derivative\:(6x^{2}-10x)e^{x}
y^'=(y-xy)/(x^2)	y^{\prime\:}=\frac{y-xy}{x^{2}}
integral de 10sin^6(x)cos^3(x)	\int\:10\sin^{6}(x)\cos^{3}(x)dx
derivative e^{5sqrt(x)}	derivative\:e^{5\sqrt{x}}
límite cuando x tiende a o de (sin(3x))/x	\lim\:_{x\to\:o}(\frac{\sin(3x)}{x})
límite cuando x tiende a 0 de (tan(11x))/x	\lim\:_{x\to\:0}(\frac{\tan(11x)}{x})
derivada de 4x+x^2cos(1/x)	\frac{d}{dx}(4x+x^{2}\cos(\frac{1}{x}))
límite cuando t tiende a 0 de 2/t-2/(t^2-t)	\lim\:_{t\to\:0}(\frac{2}{t}-\frac{2}{t^{2}-t})
derivative y=sin(pi-x)	derivative\:y=\sin(π-x)
integral de 4 a 8 de y/(y^2-2y-3)	\int\:_{4}^{8}\frac{y}{y^{2}-2y-3}dy
área x^3-2x^2+3,3x^2+5x-22	area\:x^{3}-2x^{2}+3,3x^{2}+5x-22
integral de-e^{6t}	\int\:-e^{6t}dt
inverselaplace 4/(s(5s+1))	inverselaplace\:\frac{4}{s(5s+1)}
xy^'=2y+3x	xy^{\prime\:}=2y+3x
tangent y=5x-x^2(1.4)	tangent\:y=5x-x^{2}(1.4)
tangent y=8x^4,\at x=0	tangent\:y=8x^{4},\at\:x=0
tangent f(x)=3+ln(x)	tangent\:f(x)=3+\ln(x)
derivada de-sin(3x*3)	\frac{d}{dx}(-\sin(3x)\cdot\:3)
integral de (x^3)/(x^2-4)	\int\:\frac{x^{3}}{x^{2}-4}dx
integral de (3x+1)/(sqrt(5x^2+1))	\int\:\frac{3x+1}{\sqrt{5x^{2}+1}}dx
límite cuando x tiende a-1 de-2	\lim\:_{x\to\:-1}(-2)
derivative f(x)=2x^2+3x-9	derivative\:f(x)=2x^{2}+3x-9
integral de (ln(x^8))/x	\int\:\frac{\ln(x^{8})}{x}dx
derivative 1/(3x-1)	derivative\:\frac{1}{3x-1}
integral de (10x)/(2+5x^2)	\int\:\frac{10x}{2+5x^{2}}dx
límite cuando x tiende a-1 de (x+1)/(x-1)	\lim\:_{x\to\:-1}(\frac{x+1}{x-1})
normal y=x^3+1,(1,2)	normal\:y=x^{3}+1,(1,2)
f(x)= 1/(x^4)	f(x)=\frac{1}{x^{4}}
(dy)/(dx)=y(2x^2+6)	\frac{dy}{dx}=y(2x^{2}+6)
maclaurin e^{3x^3}	maclaurin\:e^{3x^{3}}
integral de 1/((4-x^2)^2)	\int\:\frac{1}{(4-x^{2})^{2}}dx
(\partial)/(\partial x)(5ln(1+x^2-y))	\frac{\partial\:}{\partial\:x}(5\ln(1+x^{2}-y))
límite cuando x tiende a 0 de (ln(x))/(x^2)	\lim\:_{x\to\:0}(\frac{\ln(x)}{x^{2}})
integral de 1/(sqrt(1+x+x^2))	\int\:\frac{1}{\sqrt{1+x+x^{2}}}dx
f^'(x)=5(1+e^x)^4e^x	f^{\prime\:}(x)=5(1+e^{x})^{4}e^{x}
derivative h(w)=(5w^3-w)/w	derivative\:h(w)=\frac{5w^{3}-w}{w}
derivada de (x^2-3^4)	\frac{d}{dx}((x^{2}-3)^{4})
derivada de (a+b/(x^2)^3)	\frac{d}{dx}((a+\frac{b}{x^{2}})^{3})
raíces xy^3	roots\:xy^{3}
simplificar (4sqrt(2))/3 x^{3/2}-1	simplify\:\frac{4\sqrt{2}}{3}x^{\frac{3}{2}}-1

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