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Problemas populares de Cálculo

(2x-1)dx+(7y+3)dy=0	(2x-1)dx+(7y+3)dy=0
derivada de 2xcos(2x-(x-2)^2)	\frac{d}{dx}(2x\cos(2x)-(x-2)^{2})
límite cuando x tiende a-2 de x^2+4x+4	\lim\:_{x\to\:-2}(x^{2}+4x+4)
derivada de (2arctan(x)/(x^2+1))	\frac{d}{dx}(\frac{2\arctan(x)}{x^{2}+1})
derivative f(x)=2x^4-x^3+6x^2	derivative\:f(x)=2x^{4}-x^{3}+6x^{2}
tangent (x^2)/(x-2)	tangent\:\frac{x^{2}}{x-2}
integral de tan(mx)sec^2(mx)	\int\:\tan(mx)\sec^{2}(mx)dx
límite cuando x tiende a 3 de (3/x-1)/(x-3)	\lim\:_{x\to\:3}(\frac{\frac{3}{x}-1}{x-3})
integral de 1 a infinity de 2/(x^3)	\int\:_{1}^{\infty\:}\frac{2}{x^{3}}dx
2y^{''}+4y=0	2y^{\prime\:\prime\:}+4y=0
derivada de 1/(x(1+ln(x)))	\frac{d}{dx}(\frac{1}{x(1+\ln(x))})
integral de x\sqrt[4]{3x+5}	\int\:x\sqrt[4]{3x+5}dx
integral de x(x+3)^2	\int\:x(x+3)^{2}dx
derivative (3x^2+3x-1)^4	derivative\:(3x^{2}+3x-1)^{4}
10(d^2y)/(dx^2)+3(dy)/(dx)+6y=0	10\frac{d^{2}y}{dx^{2}}+3\frac{dy}{dx}+6y=0
serie de n=2 a infinity de 2/(n^2+4n+3)	\sum\:_{n=2}^{\infty\:}\frac{2}{n^{2}+4n+3}
taylor 1/(\|1-x\|)	taylor\:\frac{1}{\left\|1-x\right\|}
(dy)/(dx)=(3(2+y))/((3-x)^2),y(0)=-1	\frac{dy}{dx}=\frac{3(2+y)}{(3-x)^{2}},y(0)=-1
integral de-infinity a 1 de e^x	\int\:_{-\infty\:}^{1}e^{x}dx
integral de cos(x)\sqrt[3]{2018+sin(x)}	\int\:\cos(x)\sqrt[3]{2018+\sin(x)}dx
(\partial)/(\partial x)(x^{0.5}y^{0.5})	\frac{\partial\:}{\partial\:x}(x^{0.5}y^{0.5})
(\partial)/(\partial x)(sin(-6x-3y))	\frac{\partial\:}{\partial\:x}(\sin(-6x-3y))
derivative y=3x+5	derivative\:y=3x+5
serie de n=0 a infinity de n/(8^n)	\sum\:_{n=0}^{\infty\:}\frac{n}{8^{n}}
integral de 14x^{1/3}	\int\:14x^{\frac{1}{3}}dx
integral de sqrt(100-4x^2)	\int\:\sqrt{100-4x^{2}}dx
derivada de 3ln(cos(x))	\frac{d}{dx}(3\ln(\cos(x)))
derivada de e^{5x^3}	\frac{d}{dx}(e^{5x^{3}})
laplacetransformación 6-6e^{-5t}	laplacetransform\:6-6e^{-5t}
integral de 0 a 5/12 de 60x	\int\:_{0}^{\frac{5}{12}}60xdx
derivada de e^{2x}-e^2	\frac{d}{dx}(e^{2x}-e^{2})
maclaurin (1+x)^{-3/5}	maclaurin\:(1+x)^{-\frac{3}{5}}
límite cuando x tiende a 7 de (x+7)/(\|x+7\|)	\lim\:_{x\to\:7}(\frac{x+7}{\left\|x+7\right\|})
límite cuando x tiende a 2 de sqrt(x^4-8)	\lim\:_{x\to\:2}(\sqrt{x^{4}-8})
integral de (sec(5θ)tan(5θ)+csc^2(2θ))	\int\:(\sec(5θ)\tan(5θ)+\csc^{2}(2θ))dθ
(\partial)/(\partial y)(xycos(yz))	\frac{\partial\:}{\partial\:y}(xy\cos(yz))
(dy}{dx}=\frac{x^2+3)/y	\frac{dy}{dx}=\frac{x^{2}+3}{y}
derivative f(x)=ln(sqrt(x^2-4))	derivative\:f(x)=\ln(\sqrt{x^{2}-4})
integral de (x-1)e^{-x}	\int\:(x-1)e^{-x}dx
(d^2)/(dx^2)(6x+17)	\frac{d^{2}}{dx^{2}}(6x+17)
límite cuando t tiende a infinity de-e^{-t}	\lim\:_{t\to\:\infty\:}(-e^{-t})
integral de sin^2(x)*cos^4(x)	\int\:\sin^{2}(x)\cdot\:\cos^{4}(x)dx
integral de 0 a 2 de \|1-x\|	\int\:_{0}^{2}\left\|1-x\right\|dx
(\partial)/(\partial z)(xz^2t)	\frac{\partial\:}{\partial\:z}(xz^{2}t)
integral de x/((1+x^2)^{3/2)}	\int\:\frac{x}{(1+x^{2})^{\frac{3}{2}}}dx
límite cuando x tiende a-2 de 6sqrt(2)*x^5	\lim\:_{x\to\:-2}(6\sqrt{2}\cdot\:x^{5})
tangent f(x)=3sin(x-2)	tangent\:f(x)=3\sin(x-2)
integral de 9/(sqrt(4-x^2))	\int\:\frac{9}{\sqrt{4-x^{2}}}dx
límite cuando x tiende a 0 de 2-x	\lim\:_{x\to\:0}(2-x)
derivative x^{4/3}	derivative\:x^{\frac{4}{3}}
derivative f(x)=x^{-2/3}	derivative\:f(x)=x^{-\frac{2}{3}}
(dy)/(dx)= y/(2sqrt(x)),y(4)=1	\frac{dy}{dx}=\frac{y}{2\sqrt{x}},y(4)=1
derivative tan^2(2x)	derivative\:\tan^{2}(2x)
límite cuando x tiende a 0 de (3-3e^{-x})^2	\lim\:_{x\to\:0}((3-3e^{-x})^{2})
integral de (e^{9sqrt(x)})/(sqrt(x))	\int\:\frac{e^{9\sqrt{x}}}{\sqrt{x}}dx
derivada de cos(ln(9x))	\frac{d}{dx}(\cos(\ln(9x)))
derivada de e^x(13x^2-26x+26)	\frac{d}{dx}(e^{x}(13x^{2}-26x+26))
x^2y^{''}+xy^'+9y=0	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+9y=0
(\partial)/(\partial x)(ysin(x/y))	\frac{\partial\:}{\partial\:x}(y\sin(\frac{x}{y}))
derivative f(x)=(x^2-6x+1)/(x^2+4)	derivative\:f(x)=\frac{x^{2}-6x+1}{x^{2}+4}
integral de (x+3)^2(2-x)^5	\int\:(x+3)^{2}(2-x)^{5}dx
y^{''}+6y+9=0,y(0)=-3,y^'(0)=-1	y^{\prime\:\prime\:}+6y+9=0,y(0)=-3,y^{\prime\:}(0)=-1
integral de 4x^4	\int\:4x^{4}dx
(\partial)/(\partial z)(xe^y+ye^z-ze^x)	\frac{\partial\:}{\partial\:z}(xe^{y}+ye^{z}-ze^{x})
derivada de 8sin^6(sqrt(x))	\frac{d}{dx}(8\sin^{6}(\sqrt{x}))
serie de n=3 a infinity de 1/(2^n)	\sum\:_{n=3}^{\infty\:}\frac{1}{2^{n}}
integral de m/(e^{ax)}	\int\:\frac{m}{e^{ax}}dx
límite cuando x tiende a 0 de xcsc(x)	\lim\:_{x\to\:0}(x\csc(x))
serie de n=3 a infinity de (ln(n))/n	\sum\:_{n=3}^{\infty\:}\frac{\ln(n)}{n}
integral de ((a+bx^4))/(sqrt(5ax+bx^5))	\int\:\frac{(a+bx^{4})}{\sqrt{5ax+bx^{5}}}dx
integral de e^{3x}(e^{3x}-8)^5	\int\:e^{3x}(e^{3x}-8)^{5}dx
límite cuando x tiende a 4 de g(x)	\lim\:_{x\to\:4}(g(x))
integral de x/(x-sqrt(x))	\int\:\frac{x}{x-\sqrt{x}}dx
derivada de e^{y^2-x^2}	\frac{d}{dx}(e^{y^{2}-x^{2}})
y^{''}+y^'+4y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+y^{\prime\:}+4y=0,y(0)=0,y^{\prime\:}(0)=0
integral de sec^3(5x)tan^5(5x)	\int\:\sec^{3}(5x)\tan^{5}(5x)dx
tangent f(x)=16sqrt(x),\at x=4	tangent\:f(x)=16\sqrt{x},\at\:x=4
integral de 3 a 2 de (5x^2+4x+9)	\int\:_{3}^{2}(5x^{2}+4x+9)dx
y^{''}+4y=5sec(2t)	y^{\prime\:\prime\:}+4y=5\sec(2t)
y^{''}(e^x+1)+y^'=0	y^{\prime\:\prime\:}(e^{x}+1)+y^{\prime\:}=0
integral de x^3*sqrt(4-x^2)	\int\:x^{3}\cdot\:\sqrt{4-x^{2}}dx
derivative 4/3 pir^2	derivative\:\frac{4}{3}πr^{2}
derivative t	derivative\:t
integral de 5/(x(x^4+4))	\int\:\frac{5}{x(x^{4}+4)}dx
(\partial)/(\partial x)(xye^{-8(x^2+y^2)})	\frac{\partial\:}{\partial\:x}(xye^{-8(x^{2}+y^{2})})
integral de 0 a 1 de 8cos(2x)	\int\:_{0}^{1}8\cos(2x)dx
integral de 0 a 9 de 1/(sqrt(9-x))	\int\:_{0}^{9}\frac{1}{\sqrt{9-x}}dx
derivada de 4x^{5/4}+10x^{3/2}+10x	\frac{d}{dx}(4x^{\frac{5}{4}}+10x^{\frac{3}{2}}+10x)
derivada de (x-4ax^2+ln(x/4)bx^4)	\frac{d}{dx}((x-4)\cdot\:ax^{2}+\ln(\frac{x}{4})\cdot\:bx^{4})
integral de cos(8t)	\int\:\cos(8t)dt
integral de (x^2+2x-1)/(x(x+1)(x-1))	\int\:\frac{x^{2}+2x-1}{x(x+1)(x-1)}dx
y^'=3x+y,y(0)=7	y^{\prime\:}=3x+y,y(0)=7
límite cuando x tiende a 0+de x^2csc^2(x)	\lim\:_{x\to\:0+}(x^{2}\csc^{2}(x))
x(dy)/(dx)=y-1/y	x\frac{dy}{dx}=y-\frac{1}{y}
derivada de (x^4-5x^3+sqrt(x)/(x^2))	\frac{d}{dx}(\frac{x^{4}-5x^{3}+\sqrt{x}}{x^{2}})
(dy)/(dx)=(e^x+1)/(2y)	\frac{dy}{dx}=\frac{e^{x}+1}{2y}
límite cuando x tiende a-infinity de 4x	\lim\:_{x\to\:-\infty\:}(4x)
integral de 1/(3-2x)	\int\:\frac{1}{3-2x}dx
integral de 1/(sqrt(1+4x^2))	\int\:\frac{1}{\sqrt{1+4x^{2}}}dx
(dy)/(dx)+xy^2=0	\frac{dy}{dx}+xy^{2}=0

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