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Problemas populares

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Problemas populares Cálculo

serie de n=2 a infinity de 2/(n^3)	\sum\:_{n=2}^{\infty\:}\frac{2}{n^{3}}
serie de n=0 a infinity de 2^{2n}	\sum\:_{n=0}^{\infty\:}2^{2n}
derivada de a^{{f}(x})	\frac{d}{dx}(a^{{f}(x)})
integral de e^{-θ}cos(2θ)	\int\:e^{-θ}\cos(2θ)dθ
integral de (19arctan(x))/(x^2)	\int\:\frac{19\arctan(x)}{x^{2}}dx
límite cuando x tiende a 0 de ((x+1)^3-1)/x	\lim\:_{x\to\:0}(\frac{(x+1)^{3}-1}{x})
pendiente 1/(x-3)	slope\:\frac{1}{x-3}
(\partial}{\partial x}(\frac{s-2r)/t)	\frac{\partial\:}{\partial\:x}(\frac{s-2r}{t})
integral de 2sqrt(t)+3	\int\:2\sqrt{t}+3dt
derivative f(t)=(8t)/(8+sqrt(t))	derivative\:f(t)=\frac{8t}{8+\sqrt{t}}
(\partial)/(\partial x)(sin^2(x-3y))	\frac{\partial\:}{\partial\:x}(\sin^{2}(x-3y))
derivative arctan(u)	derivative\:\arctan(u)
integral de 7x^{-3}	\int\:7x^{-3}dx
derivative f(x)=x^1	derivative\:f(x)=x^{1}
integral de xsqrt((x-1))	\int\:x\sqrt{(x-1)}dx
integral de 1 a infinity de n/(n^2+1)	\int\:_{1}^{\infty\:}\frac{n}{n^{2}+1}
taylor x^{1/2}	taylor\:x^{\frac{1}{2}}
límite cuando x tiende a x de (tan(x))/x	\lim\:_{x\to\:x}(\frac{\tan(x)}{x})
límite cuando x tiende a 1 de 2x^3-4x^2+x+5	\lim\:_{x\to\:1}(2x^{3}-4x^{2}+x+5)
derivada de x+y*ln(5-x/2)	\frac{d}{dx}(x+y\cdot\:\ln(5-\frac{x}{2}))
derivada de 4x^3-4x	\frac{d}{dx}(4x^{3}-4x)
derivative f(x)=500-500t^{-1}	derivative\:f(x)=500-500t^{-1}
límite cuando x tiende a-5 de x	\lim\:_{x\to\:-5}(x)
tangent (4x)/(x^2+1)	tangent\:\frac{4x}{x^{2}+1}
integral de 0 a 8 de sqrt(1+x)	\int\:_{0}^{8}\sqrt{1+x}dx
área x^3-5x,4x,-3,3	area\:x^{3}-5x,4x,-3,3
límite cuando x tiende a infinity de 11+4/(x^2)	\lim\:_{x\to\:\infty\:}(11+\frac{4}{x^{2}})
derivada de 4/3 pix^2	\frac{d}{dx}(\frac{4}{3}πx^{2})
tangent f(x)=12sqrt(x),(1,12)	tangent\:f(x)=12\sqrt{x},(1,12)
integral de sec^{11}(x)	\int\:\sec^{11}(x)dx
derivative x^{6/5}+e^{-3x}	derivative\:x^{\frac{6}{5}}+e^{-3x}
integral de 1/(x^2+3x+2)	\int\:\frac{1}{x^{2}+3x+2}dx
límite cuando x tiende a 2 de (x^2-1)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{2}-1}{x-2})
integral de 4sin^4(xco)s^2x	\int\:4\sin^{4}(xco)s^{2}xdx
derivative y=sec(tan(x))tan(sec(x))	derivative\:y=\sec(\tan(x))\tan(\sec(x))
área y^2=x,x+y=2	area\:y^{2}=x,x+y=2
integral de (5x^2+x+5)/((x^2+1)^2)	\int\:\frac{5x^{2}+x+5}{(x^{2}+1)^{2}}dx
integral de \sqrt[3]{x}-1	\int\:\sqrt[3]{x}-1dx
(\partial)/(\partial x)(ln(3x+4y))	\frac{\partial\:}{\partial\:x}(\ln(3x+4y))
(\partial)/(\partial x)(x^3-9xy+y^3-2)	\frac{\partial\:}{\partial\:x}(x^{3}-9xy+y^{3}-2)
integral de 1 a e de (sec(2+ln(x)))/x	\int\:_{1}^{e}\frac{\sec(2+\ln(x))}{x}dx
integral de e^{2x+ln(x)}	\int\:e^{2x+\ln(x)}dx
límite cuando x tiende a 7-de 1/(x^2(x+7))	\lim\:_{x\to\:7-}(\frac{1}{x^{2}(x+7)})
integral de (2x^3)/(2x^2-4x+3)	\int\:\frac{2x^{3}}{2x^{2}-4x+3}dx
integral de sqrt(x)^3	\int\:\sqrt{x}^{3}dx
integral de 6xe^{x^2}	\int\:6xe^{x^{2}}dx
derivative P(t)=-5t^2+75t-30	derivative\:P(t)=-5t^{2}+75t-30
(\partial)/(\partial x)(x^3-xy+y^3)	\frac{\partial\:}{\partial\:x}(x^{3}-xy+y^{3})
límite cuando x tiende a 1 de x^{7/(1-x)}	\lim\:_{x\to\:1}(x^{\frac{7}{1-x}})
derivada de \sqrt[3]{4x}	\frac{d}{dx}(\sqrt[3]{4x})
integral de (4x)/((x^2+1))	\int\:\frac{4x}{(x^{2}+1)}dx
integral de 5x^{-2/3}-2x^{5/3}	\int\:5x^{-\frac{2}{3}}-2x^{\frac{5}{3}}dx
tangent f(x)=(11)/(9x),\at x=1	tangent\:f(x)=\frac{11}{9x},\at\:x=1
integral de 1/(1-sin(x/2))	\int\:\frac{1}{1-\sin(\frac{x}{2})}dx
f(x)=(10)/(x^2)	f(x)=\frac{10}{x^{2}}
integral de 1/(xsqrt(4^2-9))	\int\:\frac{1}{x\sqrt{4^{2}-9}}dx
integral de 1/(1-1/2 x)	\int\:\frac{1}{1-\frac{1}{2}x}dx
derivative x/6	derivative\:\frac{x}{6}
(xtan(y/x)+y)dx-xdy=0	(x\tan(\frac{y}{x})+y)\cdot\:dx-x\cdot\:dy=0
integral de 1/x-1/(x+6)	\int\:\frac{1}{x}-\frac{1}{x+6}dx
integral de ysqrt(2+10y-25y^2)	\int\:y\sqrt{2+10y-25y^{2}}dy
derivative ((x+1)^2)/((x-1)(x+2))	derivative\:\frac{(x+1)^{2}}{(x-1)(x+2)}
límite cuando x tiende a infinity de x(x-sqrt(x^2-4))	\lim\:_{x\to\:\infty\:}(x(x-\sqrt{x^{2}-4}))
tangent 2 1/x ,\at x=3	tangent\:2\frac{1}{x},\at\:x=3
integral de (sqrt(9x^2-1))/x	\int\:\frac{\sqrt{9x^{2}-1}}{x}dx
integral de (1-2e^{tan(x)})sec^2(x)	\int\:(1-2e^{\tan(x)})\sec^{2}(x)dx
límite cuando x tiende a 4-de (x+2)/(x-4)	\lim\:_{x\to\:4-}(\frac{x+2}{x-4})
límite cuando x tiende a 0 de (log_{e}(1+3x^2))/(x(e^x-1))	\lim\:_{x\to\:0}(\frac{\log_{e}(1+3x^{2})}{x(e^{x}-1)})
derivada de sin^2(3x-2)	\frac{d}{dx}(\sin^{2}(3x-2))
derivada de 4arcsin(x)	\frac{d}{dx}(4\arcsin(x))
(dy)/(dx)=2x(1+y)	\frac{dy}{dx}=2x(1+y)
integral de 3sqrt(x^2)	\int\:3\sqrt{x^{2}}dx
(\partial)/(\partial y)(ln(sqrt(1+xy)))	\frac{\partial\:}{\partial\:y}(\ln(\sqrt{1+xy}))
integral de 1/(sqrt(x^2+4x+1))	\int\:\frac{1}{\sqrt{x^{2}+4x+1}}dx
(\partial)/(\partial x)(5xy(9-x-y))	\frac{\partial\:}{\partial\:x}(5xy(9-x-y))
derivative e^x-3x	derivative\:e^{x}-3x
(\partial)/(\partial x)(8)	\frac{\partial\:}{\partial\:x}(8)
3t(dy)/(dt)+y=sqrt(t)	3t\frac{dy}{dt}+y=\sqrt{t}
integral de (x^5)/(x^6-2)	\int\:\frac{x^{5}}{x^{6}-2}dx
derivada de e^x(cos(x-sin(x)))	\frac{d}{dx}(e^{x}(\cos(x)-\sin(x)))
y^'=sin^2(x-y)	y^{\prime\:}=\sin^{2}(x-y)
derivada de (3x-4/(12x^2))	\frac{d}{dx}(\frac{3x-4}{12x^{2}})
pendiente F(x)=sqrt(x)+1	slope\:F(x)=\sqrt{x}+1
y^'=((x^2-y^2))/(xy),y(2)=2	y^{\prime\:}=\frac{(x^{2}-y^{2})}{xy},y(2)=2
derivative cos^4(x)	derivative\:\cos^{4}(x)
tangent f(x)=x^3-4x,\at x=2	tangent\:f(x)=x^{3}-4x,\at\:x=2
área 2x^2-1,0,1	area\:2x^{2}-1,0,1
derivative sqrt(1-4x^2)	derivative\:\sqrt{1-4x^{2}}
derivative (x+5)/(sqrt(x))	derivative\:\frac{x+5}{\sqrt{x}}
tangent f(x)=x^2-9x,\at x=3	tangent\:f(x)=x^{2}-9x,\at\:x=3
(\partial)/(\partial y)(x^3y)	\frac{\partial\:}{\partial\:y}(x^{3}y)
taylor 1/((z+1)^3)	taylor\:\frac{1}{(z+1)^{3}}
derivada de sqrt(x^2+x+3)	\frac{d}{dx}(\sqrt{x^{2}+x+3})
(x^4+y^2)dx-xydy=0	(x^{4}+y^{2})dx-xydy=0
integral de (tan(θ))	\int\:(\tan(θ))dθ
límite cuando x tiende a 0 de (sin(pix))/x	\lim\:_{x\to\:0}(\frac{\sin(πx)}{x})
integral de 1/(x(ln(x))^5)	\int\:\frac{1}{x(\ln(x))^{5}}dx
derivada de (1/(x^2-5/(x^4))(x+3x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{5}{x^{4}})(x+3x^{3}))
integral de 1/((x+3)ln(x+3))	\int\:\frac{1}{(x+3)\ln(x+3)}dx
derivada de 1/(sqrt(3-x))	\frac{d}{dx}(\frac{1}{\sqrt{3-x}})

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