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Problemas populares de Cálculo

(dx)/(dt)+2t^5x^7+x/t =0	\frac{dx}{dt}+2t^{5}x^{7}+\frac{x}{t}=0
serie de n=0 a infinity de e^{-6n}	\sum\:_{n=0}^{\infty\:}e^{-6n}
pendiente (7,-4),(8,8)	slope\:(7,-4),(8,8)
derivada de (-ln(1+6x)/x)	\frac{d}{dx}(\frac{-\ln(1+6x)}{x})
integral de 1-2y	\int\:1-2ydy
derivada de arctan({g}(x)(x))	\frac{d}{dx}(\arctan({g}(x))(x))
(\partial}{\partial x}(3sin(\frac{6x)/y))	\frac{\partial\:}{\partial\:x}(3\sin(\frac{6x}{y}))
límite cuando x tiende a-infinity de (5+2x)/(sqrt(9+4x^2))	\lim\:_{x\to\:-\infty\:}(\frac{5+2x}{\sqrt{9+4x^{2}}})
integral de (x+3)/(sqrt(4-x^2))	\int\:\frac{x+3}{\sqrt{4-x^{2}}}dx
tangent 2sqrt(x)+1,\at x= 1/4	tangent\:2\sqrt{x}+1,\at\:x=\frac{1}{4}
serie de n=1 a infinity}e^{-n de n!	\sum\:_{n=1}^{\infty\:}e^{-n}n!
f(x)=8^x	f(x)=8^{x}
límite cuando x tiende a 8-de 2/(x-8)	\lim\:_{x\to\:8-}(\frac{2}{x-8})
y^{''}+25y=sec(5t)	y^{\prime\:\prime\:}+25y=\sec(5t)
derivative x^9e^x	derivative\:x^{9}e^{x}
límite cuando x tiende a 2+de (3+x)/(2-x)	\lim\:_{x\to\:2+}(\frac{3+x}{2-x})
derivada de ln(10^{-x}-1)	\frac{d}{dx}(\ln(10^{-x}-1))
integral de e^{x^2}*x^3	\int\:e^{x^{2}}\cdot\:x^{3}dx
derivada de (x^2-3x+1^4)	\frac{d}{dx}((x^{2}-3x+1)^{4})
área 5x, 5/3 x,14-x^2	area\:5x,\frac{5}{3}x,14-x^{2}
derivative 9e^x	derivative\:9e^{x}
derivative y(X)= 1/(2cos^2(X))	derivative\:y(X)=\frac{1}{2\cos^{2}(X)}
derivative y=4xln(x)+(3^x)-(x^3)	derivative\:y=4x\ln(x)+(3^{x})-(x^{3})
integral de 1/((256+x^2)^{3/2)}	\int\:\frac{1}{(256+x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de (3x^2-2)^5	\lim\:_{x\to\:0}((3x^{2}-2)^{5})
integral de e^xln(x)	\int\:e^{x}\ln(x)dx
tangent 4x^3+8x^2+3x+2	tangent\:4x^{3}+8x^{2}+3x+2
maclaurin e^{x^3}	maclaurin\:e^{x^{3}}
integral de 1/((1+x))	\int\:\frac{1}{(1+x)}dx
y^{''}=y^'+2y+9e^{2x}	y^{\prime\:\prime\:}=y^{\prime\:}+2y+9e^{2x}
integral de 11sin^2(xco)s^2x	\int\:11\sin^{2}(xco)s^{2}xdx
integral de 2x^3e^{-x^2}	\int\:2x^{3}e^{-x^{2}}dx
(x^2-2y^2)dy-2xydx=0	(x^{2}-2y^{2})dy-2xydx=0
integral de (3/(x^5)-2/(x^2)-6/x)	\int\:(\frac{3}{x^{5}}-\frac{2}{x^{2}}-\frac{6}{x})dx
derivada de 8x-x^2	\frac{d}{dx}(8x-x^{2})
serie de n=0 a infinity de cos(n)	\sum\:_{n=0}^{\infty\:}\cos(n)
límite cuando x tiende a 0 de e^{sin(x^2)}	\lim\:_{x\to\:0}(e^{\sin(x^{2})})
integral de (x-1)^2(sin(x))^2	\int\:(x-1)^{2}(\sin(x))^{2}dx
derivative f(t)=1.3e^{0.7t}	derivative\:f(t)=1.3e^{0.7t}
integral de x*e^{1-x}	\int\:x\cdot\:e^{1-x}dx
simplificar (2x-5)^4(8x^2-5)^{-3}	simplify\:(2x-5)^{4}(8x^{2}-5)^{-3}
(\partial)/(\partial y)(ye^{-xy})	\frac{\partial\:}{\partial\:y}(ye^{-xy})
derivada de ln((e^x/(1+e^x)))	\frac{d}{dx}(\ln(\frac{e^{x}}{1+e^{x}}))
(\partial)/(\partial x)(ln((cos(x)y)^z))	\frac{\partial\:}{\partial\:x}(\ln((\cos(x)y)^{z}))
límite cuando x tiende a 3 de sqrt(3x+7)	\lim\:_{x\to\:3}(\sqrt{3x+7})
integral de 0 a 2pi de cos(t)	\int\:_{0}^{2π}\cos(t)dt
límite cuando x tiende a 5 de sqrt(5-x)	\lim\:_{x\to\:5}(\sqrt{5-x})
límite cuando x tiende a-infinity de 2/x	\lim\:_{x\to\:-\infty\:}(\frac{2}{x})
integral de (x^2)/(sqrt(49+81x^2))	\int\:\frac{x^{2}}{\sqrt{49+81x^{2}}}dx
tangent f(x)=3x^2-5x+7,(-1,15)	tangent\:f(x)=3x^{2}-5x+7,(-1,15)
integral de 3x^2+sqrt(2)	\int\:3x^{2}+\sqrt{2}dx
integral de 2 a infinity de 8/(x^3)	\int\:_{2}^{\infty\:}\frac{8}{x^{3}}dx
derivative 1/(sqrt(x-1))	derivative\:\frac{1}{\sqrt{x-1}}
integral de (10)/x+2/(x^2)+7/(x^3)	\int\:\frac{10}{x}+\frac{2}{x^{2}}+\frac{7}{x^{3}}dx
integral de sqrt(1+1/(4x))	\int\:\sqrt{1+\frac{1}{4x}}dx
derivada de cot(3x^4-2x^3-3)	\frac{d}{dx}(\cot(3x^{4}-2x^{3}-3))
límite cuando x tiende a 4 de (6x-1)/(2x-9)	\lim\:_{x\to\:4}(\frac{6x-1}{2x-9})
integral de-2.1x	\int\:-2.1xdx
integral de 0 a 4 de (4x+7)	\int\:_{0}^{4}(4x+7)dx
(\partial)/(\partial y)(2ye^{2z})	\frac{\partial\:}{\partial\:y}(2ye^{2z})
derivative f(4)=4x^{5/4}+10x^{3/2}+3x	derivative\:f(4)=4x^{\frac{5}{4}}+10x^{\frac{3}{2}}+3x
integral de sqrt(1+(x/2-1/(2x))^2)	\int\:\sqrt{1+(\frac{x}{2}-\frac{1}{2x})^{2}}dx
derivative (1+1/x)^3	derivative\:(1+\frac{1}{x})^{3}
7ty^'+y=t^2	7ty^{\prime\:}+y=t^{2}
derivative 2t^2-3t-1	derivative\:2t^{2}-3t-1
integral de 1/(x^2+2^2)	\int\:\frac{1}{x^{2}+2^{2}}dx
derivative 1/((4x+1)^4)	derivative\:\frac{1}{(4x+1)^{4}}
derivative 4e^{3x}(3cos(4x)-4sin(4x))	derivative\:4e^{3x}(3\cos(4x)-4\sin(4x))
límite cuando x tiende a 3-de (x-2)/(x^2-9)	\lim\:_{x\to\:3-}(\frac{x-2}{x^{2}-9})
derivada de arccsc(-3x)	\frac{d}{dx}(\arccsc(-3x))
derivada de arctan(t/x)	\frac{d}{dx}(\arctan(\frac{t}{x}))
derivada de (2x-4/(3e^x))	\frac{d}{dx}(\frac{2x-4}{3e^{x}})
límite cuando x tiende a 3 de 1/((x^2-9))	\lim\:_{x\to\:3}(\frac{1}{(x^{2}-9)})
integral de 2xe^{-2x^2}	\int\:2xe^{-2x^{2}}dx
derivative f(x)=x^5*e^x	derivative\:f(x)=x^{5}\cdot\:e^{x}
serie de n=1 a infinity de ((x+3)^n)/n	\sum\:_{n=1}^{\infty\:}\frac{(x+3)^{n}}{n}
integral de 20+0.6sqrt(x)	\int\:20+0.6\sqrt{x}dx
derivative (e/(16))^x	derivative\:(\frac{e}{16})^{x}
integral de 0 a 1/2 de y^2(8y)	\int\:_{0}^{\frac{1}{2}}y^{2}(8y)dy
tangent y=(x^2-1)	tangent\:y=(x^{2}-1)
tangent f(x)=5+4x^2-2x^3,\at x=a	tangent\:f(x)=5+4x^{2}-2x^{3},\at\:x=a
límite cuando x tiende a infinity de-x+2	\lim\:_{x\to\:\infty\:}(-x+2)
integral de 0 a pi de 3sin^2(4x)	\int\:_{0}^{π}3\sin^{2}(4x)dx
integral de e^x	\int\:e^{x}dx
derivative f(x)=(ln(x))/(sqrt(x))	derivative\:f(x)=\frac{\ln(x)}{\sqrt{x}}
derivative y=5arctan(x-sqrt(1+x^2))	derivative\:y=5\arctan(x-\sqrt{1+x^{2}})
derivada de (1+sin(x)sin(x))	\frac{d}{dx}((1+\sin(x))\sin(x))
y^'=(x-1)e^x	y^{\prime\:}=(x-1)e^{x}
derivative (0.3(9^x))/(x^3)	derivative\:\frac{0.3(9^{x})}{x^{3}}
integral de (cos(x)+1/2 x)	\int\:(\cos(x)+\frac{1}{2}x)dx
derivative tan(2x)	derivative\:\tan(2x)
derivative g(t)=(t-sqrt(t))/(t^{1/6)}	derivative\:g(t)=\frac{t-\sqrt{t}}{t^{\frac{1}{6}}}
(dy}{dx}-y=\frac{e^x)/y	\frac{dy}{dx}-y=\frac{e^{x}}{y}
(\partial)/(\partial x)((x^2)^{-1/2})	\frac{\partial\:}{\partial\:x}((x^{2})^{-\frac{1}{2}})
derivative u(x)=3x^2-x+6	derivative\:u(x)=3x^{2}-x+6
área 2cos(2x),2-2cos(2x),[0, pi/2 ]	area\:2\cos(2x),2-2\cos(2x),[0,\frac{π}{2}]
derivative (6x+1)^2	derivative\:(6x+1)^{2}
derivative f(x)= 5/(\sqrt[4]{x)},x=2	derivative\:f(x)=\frac{5}{\sqrt[4]{x}},x=2
derivative (-x^2-3)/((x^2-3)^2)	derivative\:\frac{-x^{2}-3}{(x^{2}-3)^{2}}
(d^2)/(dx^2)(3x^{-3}+5x^2)	\frac{d^{2}}{dx^{2}}(3x^{-3}+5x^{2})

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