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Problemas populares Cálculo

área y=((3x+1))/2 ,y=x^2-2	area\:y=\frac{(3x+1)}{2},y=x^{2}-2
xy(dy)/(dx)+y^2=32x	xy\frac{dy}{dx}+y^{2}=32x
integral de x/(sqrt(4-x^2))	\int\:\frac{x}{\sqrt{4-x^{2}}}dx
integral de sqrt(2x+9)	\int\:\sqrt{2x+9}dx
2ty^'-3y=0	2ty^{\prime\:}-3y=0
tangent f(x)= 7/(x^4),\at x=-3	tangent\:f(x)=\frac{7}{x^{4}},\at\:x=-3
tangent y=sqrt(x+2),(-1,1)	tangent\:y=\sqrt{x+2},(-1,1)
(dy)/(dx)=(y^2+xy+x^2)/(x^2),y(1)=-1	\frac{dy}{dx}=\frac{y^{2}+xy+x^{2}}{x^{2}},y(1)=-1
límite cuando x tiende a-4+de (-2)/(x^2-16)	\lim\:_{x\to\:-4+}(\frac{-2}{x^{2}-16})
integral de (32x^2)/((x-12)(x+4)^2)	\int\:\frac{32x^{2}}{(x-12)(x+4)^{2}}dx
derivative (x^4)/(5-x^3)	derivative\:\frac{x^{4}}{5-x^{3}}
integral de 0 a 1/2 de (e^x)(e^x)	\int\:_{0}^{\frac{1}{2}}(e^{x})(e^{x})dx
integral de 2/(2+cos(x))	\int\:\frac{2}{2+\cos(x)}dx
integral de 1/(s^2+1)	\int\:\frac{1}{s^{2}+1}ds
(\partial)/(\partial x)(e^{9x+5y})	\frac{\partial\:}{\partial\:x}(e^{9x+5y})
derivada de (2x^2+1/((1-x^2)^{5/2)})	\frac{d}{dx}(\frac{2x^{2}+1}{(1-x^{2})^{\frac{5}{2}}})
integral de 1/(2*sqrt(tan(x)))	\int\:\frac{1}{2\cdot\:\sqrt{\tan(x)}}dx
integral de x/(x+\sqrt[3]{x)}	\int\:\frac{x}{x+\sqrt[3]{x}}dx
derivada de (1/(x^2-9/(x^4))(x+5x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{9}{x^{4}})(x+5x^{3}))
límite cuando x tiende a 0 de 2e^{3x}	\lim\:_{x\to\:0}(2e^{3x})
tangent f(x)=(12x)/(x^2-4),(4,4)	tangent\:f(x)=\frac{12x}{x^{2}-4},(4,4)
integral de 2/(x^2sqrt(1+x^2))	\int\:\frac{2}{x^{2}\sqrt{1+x^{2}}}dx
derivative (8x^2+9)/(x^2+5)	derivative\:\frac{8x^{2}+9}{x^{2}+5}
laplacetransform 45	laplacetransform\:45
derivative 3/(x^9)	derivative\:\frac{3}{x^{9}}
y^'=7x+y,y(0)=9	y^{\prime\:}=7x+y,y(0)=9
integral de 3x^2-12	\int\:3x^{2}-12dx
integral de x^9sqrt(x^5+2)	\int\:x^{9}\sqrt{x^{5}+2}dx
xy^'-y^2ln(x)+y=0	xy^{\prime\:}-y^{2}\ln(x)+y=0
límite cuando x tiende a 3 de 7x-6	\lim\:_{x\to\:3}(7x-6)
derivative sin(x)	derivative\:\sin(x)
(\partial)/(\partial x)(1000-4xy+xy^2)	\frac{\partial\:}{\partial\:x}(1000-4xy+xy^{2})
(dy)/(dx)=(2x)/((1+x^2))	\frac{dy}{dx}=\frac{2x}{(1+x^{2})}
tangent y= 5/(4x+1)	tangent\:y=\frac{5}{4x+1}
derivada de (3-17x^2/(3x^3))	\frac{d}{dx}(\frac{3-17x^{2}}{3x^{3}})
derivative 5e^xtan(x)	derivative\:5e^{x}\tan(x)
integral de (4x^2+3x-1)/(x^3-x^2)	\int\:\frac{4x^{2}+3x-1}{x^{3}-x^{2}}dx
(\partial)/(\partial y)(y/(x+z))	\frac{\partial\:}{\partial\:y}(\frac{y}{x+z})
integral de (2x+1)/(x+1)	\int\:\frac{2x+1}{x+1}dx
tangent f(x)= 3/(x^2)	tangent\:f(x)=\frac{3}{x^{2}}
(\partial)/(\partial x)(((a+cx))/(c+b))	\frac{\partial\:}{\partial\:x}(\frac{(a+cx)}{c+b})
integral de cos(θ)sin(θ)	\int\:\cos(θ)\sin(θ)dθ
(dy)/(dx)=sqrt(5x+y)-5	\frac{dy}{dx}=\sqrt{5x+y}-5
(\partial)/(\partial u)(usin(v))	\frac{\partial\:}{\partial\:u}(u\sin(v))
integral de 1/((2+x^2)^{3/2)}	\int\:\frac{1}{(2+x^{2})^{\frac{3}{2}}}dx
derivada de 1+sqrt(4-x)	\frac{d}{dx}(1+\sqrt{4-x})
derivative csc(3x)	derivative\:\csc(3x)
límite cuando n tiende a infinity+de 2/n	\lim\:_{n\to\:\infty\:+}(\frac{2}{n})
límite cuando x tiende a-1 de 1/((x+1))	\lim\:_{x\to\:-1}(\frac{1}{(x+1)})
derivada de e^{-3x}sin(2x)	\frac{d}{dx}(e^{-3x}\sin(2x))
derivative 10^{8-x^2}	derivative\:10^{8-x^{2}}
(\partial)/(\partial x)((x)(2xy))	\frac{\partial\:}{\partial\:x}((x)(2xy))
(dy)/(dx)=(7x)/(4y)	\frac{dy}{dx}=\frac{7x}{4y}
integral de 3/(cos^2(x))	\int\:\frac{3}{\cos^{2}(x)}dx
(d^2y)/(dx^2)+4(dy)/(dx)+5y=0	\frac{d^{2}y}{dx^{2}}+4\frac{dy}{dx}+5y=0
integral de 0 a 2pi de \|cos(x)\|	\int\:_{0}^{2π}\left\|\cos(x)\right\|dx
integral de ((Inx)^2)/x	\int\:\frac{(Inx)^{2}}{x}dx
integral de 0 a 2pi de (2-2r^2)r	\int\:_{0}^{2π}(2-2r^{2})rdr
derivada de 12cos(2x)	\frac{d}{dx}(12\cos(2x))
inverselaplace 3/s+8/(s(s+1))	inverselaplace\:\frac{3}{s}+\frac{8}{s(s+1)}
derivada de 7x+5	\frac{d}{dx}(7x+5)
integral de (1+sqrt(x))^{14}	\int\:(1+\sqrt{x})^{14}dx
derivada de sqrt(sin(\sqrt{1+x^2)})	\frac{d}{dx}(\sqrt{\sin(\sqrt{1+x^{2}})})
derivada de x^3+6x^2-15x	\frac{d}{dx}(x^{3}+6x^{2}-15x)
integral de 2e^{-2x}(x^2-2x+1)	\int\:2e^{-2x}(x^{2}-2x+1)dx
serie de n=0 a infinity de (2^nz^n)/n	\sum\:_{n=0}^{\infty\:}\frac{2^{n}z^{n}}{n}
(\partial)/(\partial z)(2xz^2)	\frac{\partial\:}{\partial\:z}(2xz^{2})
tangent y=2x-2x^2,\at x=-1.5	tangent\:y=2x-2x^{2},\at\:x=-1.5
integral de 3/(3x+2)	\int\:\frac{3}{3x+2}dx
derivada de 7-(1.01^{-x^2})	\frac{d}{dx}(7-(1.01)^{-x^{2}})
(\partial)/(\partial x)(3x^2-6x-9)	\frac{\partial\:}{\partial\:x}(3x^{2}-6x-9)
integral de 1/(sqrt(4x+1))	\int\:\frac{1}{\sqrt{4x+1}}dx
derivada de (ln(sin^x(x))/x)	\frac{d}{dx}(\frac{\ln(\sin^{x}(x))}{x})
derivative sin(7x)	derivative\:\sin(7x)
área x^3-2x^2+4,3x^2+5x-21	area\:x^{3}-2x^{2}+4,3x^{2}+5x-21
integral de 0 a 60 de 100e^{-0.01x}	\int\:_{0}^{60}100e^{-0.01x}dx
derivative y=xe^{9x}	derivative\:y=xe^{9x}
derivative 1/3 (x^2-2)^{3/2}	derivative\:\frac{1}{3}(x^{2}-2)^{\frac{3}{2}}
integral de ((x^2-x+36))/(x^3+6x)	\int\:\frac{(x^{2}-x+36)}{x^{3}+6x}dx
tangent y=2sin(x),(pi/6 ,1)	tangent\:y=2\sin(x),(\frac{π}{6},1)
derivative 1-(1-0.01x)^3	derivative\:1-(1-0.01x)^{3}
serie de n=1 a infinity de n^{3/4}	\sum\:_{n=1}^{\infty\:}n^{\frac{3}{4}}
integral de 90x^2sin(2+6x^3)	\int\:90x^{2}\sin(2+6x^{3})dx
sqrt(1-y^2)dx-sqrt(1-x^2)dy=0	\sqrt{1-y^{2}}dx-\sqrt{1-x^{2}}dy=0
f(x)=cos(x/3)	f(x)=\cos(\frac{x}{3})
derivative f(x)=x^7+10	derivative\:f(x)=x^{7}+10
taylor ln(x)5	taylor\:\ln(x)5
límite cuando x tiende a 0 de ((ln(1+x)))/x	\lim\:_{x\to\:0}(\frac{(\ln(1+x))}{x})
integral de (3x-2)^4	\int\:(3x-2)^{4}dx
taylor x^2,0	taylor\:x^{2},0
derivative f(x)=((1-4x))/(1+4x)	derivative\:f(x)=\frac{(1-4x)}{1+4x}
integral de (ln(2x))/(xln(x))	\int\:\frac{\ln(2x)}{x\ln(x)}dx
límite cuando x tiende a 1 de (1-x^2)/(x-1)	\lim\:_{x\to\:1}(\frac{1-x^{2}}{x-1})
serie de n=1 a infinity de 1/(n^{1/3)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{1}{3}}}
integral de 3/(\sqrt[5]{x^2)}	\int\:\frac{3}{\sqrt[5]{x^{2}}}dx
derivative sin(ln(cos(t)))	derivative\:\sin(\ln(\cos(t)))
integral de x^2sqrt(6x+6)	\int\:x^{2}\sqrt{6x+6}dx
(2x^3-x^2y)+(2x^2y-x^3)y^'=0	(2x^{3}-x^{2}y)+(2x^{2}y-x^{3})y^{\prime\:}=0
derivada de arctan((x+y/(1-xy)))	\frac{d}{dx}(\arctan(\frac{x+y}{1-xy}))
derivada de 4x-4	\frac{d}{dx}(4x-4)

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