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Problemas populares de Cálculo

x^2dx+2ydy=0,y(0)=2	x^{2}dx+2ydy=0,y(0)=2
tangent y= 7/(sqrt(x))(1.7)	tangent\:y=\frac{7}{\sqrt{x}}(1.7)
derivative ((sqrt(x))/3+9)^{3/2}	derivative\:(\frac{\sqrt{x}}{3}+9)^{\frac{3}{2}}
integral de 0 a-1 de (x^3+8)/(x+2)	\int\:_{0}^{-1}\frac{x^{3}+8}{x+2}dx
(dy)/(dx)+y/x =x^3y^2	\frac{dy}{dx}+\frac{y}{x}=x^{3}y^{2}
derivada de ln\|sqrt(e^{1+x^2)+3x^4}+cot^2(pix\|)	\frac{d}{dx}(\ln\left\|\sqrt{e^{1+x^{2}}+3x^{4}}+\cot^{2}(πx)\right\|)
(1/(1+e^{-x)})^'	(\frac{1}{1+e^{-x}})^{\prime\:}
tangent 6x^{3/5}	tangent\:6x^{\frac{3}{5}}
paridad (tan(x))/x	parity\:\frac{\tan(x)}{x}
derivada de sqrt(ln(6x))	\frac{d}{dx}(\sqrt{\ln(6x)})
integral de 2/v	\int\:\frac{2}{v}dv
(dy)/(dx)=2*cos(9pix-1) derivada de cos(9pix-1)	\frac{dy}{dx}=2\cdot\:\cos(9πx-1)\frac{d}{dx}(\cos(9πx-1))
integral de sqrt(x)-x+2	\int\:\sqrt{x}-x+2dx
(\partial)/(\partial y)(12y-5xcos(y))	\frac{\partial\:}{\partial\:y}(12y-5x\cos(y))
inversalaplace 3x+2	inverselaplace\:3x+2
integral de cos^4(xsi)n^2x	\int\:\cos^{4}(xsi)n^{2}xdx
integral de x/((4x^2+3)^6)	\int\:\frac{x}{(4x^{2}+3)^{6}}dx
laplacetransformación e^{-t}(t^2+1)	laplacetransform\:e^{-t}(t^{2}+1)
tangent 3/(2sqrt(3x+7)),\at x=6	tangent\:\frac{3}{2\sqrt{3x+7}},\at\:x=6
derivada de x^2arctan(x)	\frac{d}{dx}(x^{2}\arctan(x))
serie de n=0 a infinity de 1/(3^n+1)	\sum\:_{n=0}^{\infty\:}\frac{1}{3^{n}+1}
derivative 1/2 x^4+11x^3+30x^2	derivative\:\frac{1}{2}x^{4}+11x^{3}+30x^{2}
(2dy)/(dx)+5y=4	\frac{2dy}{dx}+5y=4
límite cuando x tiende a 0 de 1/3	\lim\:_{x\to\:0}(\frac{1}{3})
límite cuando x tiende a 0 de f(x)x	\lim\:_{x\to\:0}(f(x)x)
4xy^'-(1+x)y=2xy^2	4xy^{\prime\:}-(1+x)y=2xy^{2}
(dy)/(dx)=((y^3+x^3))/(xy^2)	\frac{dy}{dx}=\frac{(y^{3}+x^{3})}{xy^{2}}
factorizar t^3-6t^2+9t	factor\:t^{3}-6t^{2}+9t
derivada de a(x-h^2+k)	\frac{d}{dx}(a(x-h)^{2}+k)
integral de (4-x^2)	\int\:(4-x^{2})dx
integral de 0 a infinity de e^{-t}	\int\:_{0}^{\infty\:}e^{-t}dt
derivada de 5x^2+3x-1	\frac{d}{dx}(5x^{2}+3x-1)
derivative 1/(2y)	derivative\:\frac{1}{2y}
simplificar (16)/((5-x)^2)-1	simplify\:\frac{16}{(5-x)^{2}}-1
(\partial)/(\partial x)(arcsin(3x-2))	\frac{\partial\:}{\partial\:x}(\arcsin(3x-2))
derivative f(x)= x/(x^2-16)	derivative\:f(x)=\frac{x}{x^{2}-16}
límite cuando x tiende a 1 de x/(1-x^4)	\lim\:_{x\to\:1}(\frac{x}{1-x^{4}})
área y=(40)/x ,y=-9x+39	area\:y=\frac{40}{x},y=-9x+39
derivada de sqrt(6)x-sqrt(2x)	\frac{d}{dx}(\sqrt{6}x-\sqrt{2x})
inversalaplace 1/(15s^3)	inverselaplace\:\frac{1}{15s^{3}}
(\partial)/(\partial x)((x-cy)^9+(x+cy)^9)	\frac{\partial\:}{\partial\:x}((x-cy)^{9}+(x+cy)^{9})
tangent (x^2)/(x+5)	tangent\:\frac{x^{2}}{x+5}
integral de-5 a 6 de 0	\int\:_{-5}^{6}0
derivada de-6sin(x-6xcos(x)+x^2sin(x))	\frac{d}{dx}(-6\sin(x)-6x\cos(x)+x^{2}\sin(x))
derivative y=x^8f(x)	derivative\:y=x^{8}f(x)
integral de (1+sqrt(x))^5	\int\:(1+\sqrt{x})^{5}dx
límite cuando x tiende a infinity de (5x)/(5x+3x^{1/x)}	\lim\:_{x\to\:\infty\:}(\frac{5x}{5x+3x^{\frac{1}{x}}})
área f(x)=2x-3,4,0	area\:f(x)=2x-3,4,0
tangent f(x)= 2/x ,\at x=5	tangent\:f(x)=\frac{2}{x},\at\:x=5
derivative e^{3sqrt(x)}	derivative\:e^{3\sqrt{x}}
integral de (x+5)/(x+6)	\int\:\frac{x+5}{x+6}dx
derivada de cos(x-sin(x))	\frac{d}{dx}(\cos(x)-\sin(x))
(dy)/(dx)=sqrt(x^9+1)	\frac{dy}{dx}=\sqrt{x^{9}+1}
t^2(dy)/(dt)+4ty-y^3=0,y(1)= 3/(sqrt(2))	t^{2}\frac{dy}{dt}+4ty-y^{3}=0,y(1)=\frac{3}{\sqrt{2}}
tangent y= 3/(sin(x)+cos(x))	tangent\:y=\frac{3}{\sin(x)+\cos(x)}
integral de (48)/(36-x^2)	\int\:\frac{48}{36-x^{2}}dx
derivada de ((x+b(x-a))/((x-b)))	\frac{d}{dx}(\frac{(x+b)(x-a)}{(x-b)})
tangent f(x)=sqrt(4x+84),(4,10)	tangent\:f(x)=\sqrt{4x+84},(4,10)
(d^2)/(dx^2)(2^{(x^2+1)})	\frac{d^{2}}{dx^{2}}(2^{(x^{2}+1)})
integral de 0 a x^2 de sin(t^3)	\int\:_{0}^{x^{2}}\sin(t^{3})dt
derivada de cos(a^3+x^3)	\frac{d}{dx}(\cos(a^{3}+x^{3}))
integral de sec(3t)	\int\:\sec(3t)dt
límite cuando x tiende a pi/2-de xsec(x)	\lim\:_{x\to\:\frac{π}{2}-}(x\sec(x))
límite cuando x tiende a-1 de 5	\lim\:_{x\to\:-1}(5)
derivada de x^{1/2}+4x^{2/3}+7x+3	\frac{d}{dx}(x^{\frac{1}{2}}+4x^{\frac{2}{3}}+7x+3)
(\partial)/(\partial x)(x(7-x-y))	\frac{\partial\:}{\partial\:x}(x(7-x-y))
límite cuando x tiende a 0 de cot(7x)	\lim\:_{x\to\:0}(\cot(7x))
integral de 9tan(9x)	\int\:9\tan(9x)dx
límite cuando x tiende a 5 de 4x	\lim\:_{x\to\:5}(4x)
integral de (3x+2y)	\int\:(3x+2y)dx
derivada de-xln(x)	\frac{d}{dx}(-x\ln(x))
derivada de \sqrt[3]{(x^2+2^2})	\frac{d}{dx}(\sqrt[3]{(x^{2}+2)^{2}})
derivative 5t^{7/5}+5e^3	derivative\:5t^{\frac{7}{5}}+5e^{3}
y^'=7y^2sin(x)	y^{\prime\:}=7y^{2}\sin(x)
d/(dm)(5m^2+15m^3)	\frac{d}{dm}(5m^{2}+15m^{3})
integral de x/(sqrt(x^2+a^2))	\int\:\frac{x}{\sqrt{x^{2}+a^{2}}}dx
integral de 34x+20*(-1/10)x+1	\int\:34x+20\cdot\:(-\frac{1}{10})x+1dx
integral de 1/(9e^{-5x)+e^{5x}}	\int\:\frac{1}{9e^{-5x}+e^{5x}}dx
derivative y=11^{tan(6x)}	derivative\:y=11^{\tan(6x)}
integral de (4x^2-6x+3)/(sqrt(x))	\int\:\frac{4x^{2}-6x+3}{\sqrt{x}}dx
integral de (3x^3+3x^2+2)/(x^3+x)	\int\:\frac{3x^{3}+3x^{2}+2}{x^{3}+x}dx
derivada de tan(x-cot(x))	\frac{d}{dx}(\tan(x)-\cot(x))
integral de 4/(sin^2(x))	\int\:\frac{4}{\sin^{2}(x)}dx
derivada de (x-3sqrt(x))	\frac{d}{dx}((x-3)\sqrt{x})
límite cuando x tiende a+0 de (14)/(tan(x))	\lim\:_{x\to\:+0}(\frac{14}{\tan(x)})
integral de 3x^2-5x-7	\int\:3x^{2}-5x-7dx
derivada de sin(narcsin(x))	\frac{d}{dx}(\sin(n\arcsin(x)))
derivative-2x	derivative\:-2x
integral de (8x-5)/(\sqrt[3]{x)}	\int\:\frac{8x-5}{\sqrt[3]{x}}dx
y^'=2y^2+xy^2	y^{\prime\:}=2y^{2}+xy^{2}
11y^{''}+13y^'+13/44 y=0,y(0)=2,y^'(0)=1	11y^{\prime\:\prime\:}+13y^{\prime\:}+\frac{13}{44}y=0,y(0)=2,y^{\prime\:}(0)=1
derivada de (sec(2x)/(1+tan(2x)))	\frac{d}{dx}(\frac{\sec(2x)}{1+\tan(2x)})
derivative x^{2/x}	derivative\:x^{\frac{2}{x}}
límite cuando x tiende a 0 de (5x+x^2)/x	\lim\:_{x\to\:0}(\frac{5x+x^{2}}{x})
integral de cot^3(x/3)	\int\:\cot^{3}(\frac{x}{3})dx
integral de xln^4(x)	\int\:x\ln^{4}(x)dx
(\partial)/(\partial x)(t/(c^2t^2-x^2))	\frac{\partial\:}{\partial\:x}(\frac{t}{c^{2}t^{2}-x^{2}})
tangent f(x)=(12)/(x+7)	tangent\:f(x)=\frac{12}{x+7}
(\partial)/(\partial x)((2x-y)/(5xy+6))	\frac{\partial\:}{\partial\:x}(\frac{2x-y}{5xy+6})
f(t)=arcsin(t)	f(t)=\arcsin(t)

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