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Problemas populares Cálculo

slopeintercept (-1,2),(1,-1)	slopeintercept\:(-1,2),(1,-1)
integral de 2x^5y+3x^4y^2	\int\:2x^{5}y+3x^{4}y^{2}dy
(\partial)/(\partial x)(sqrt(xyz))	\frac{\partial\:}{\partial\:x}(\sqrt{xyz})
integral de e^{-2x}(1-2x)	\int\:e^{-2x}(1-2x)dx
derivada de 2^{0.25}	\frac{d}{dx}(2^{0.25})
derivada de sin(7x+cos(2x))	\frac{d}{dx}(\sin(7x)+\cos(2x))
(\partial)/(\partial x)((e^v)/(u(v,x)+v^9))	\frac{\partial\:}{\partial\:x}(\frac{e^{v}}{u(v,x)+v^{9}})
límite cuando x tiende a-1 de-x^2+7x-8	\lim\:_{x\to\:-1}(-x^{2}+7x-8)
serie de n=1 a infinity de 2e^{-8n}	\sum\:_{n=1}^{\infty\:}2e^{-8n}
derivative-6/(x^2)	derivative\:-\frac{6}{x^{2}}
derivada de x^5ln(8x)	\frac{d}{dx}(x^{5}\ln(8x))
integral de (5x^2)/((49+x^2)^2)	\int\:\frac{5x^{2}}{(49+x^{2})^{2}}dx
tangent y=(2x)/(x-1),(-1,1)	tangent\:y=\frac{2x}{x-1},(-1,1)
derivada de x^{ax}	\frac{d}{dx}(x^{ax})
derivada de xsqrt(x^2+4)	\frac{d}{dx}(x\sqrt{x^{2}+4})
integral de (2x+2)	\int\:(2x+2)dx
(\partial)/(\partial x)(x^2+y^2+x+y+xy)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+x+y+xy)
derivative f(x)=(2x^3+4x+1)	derivative\:f(x)=(2x^{3}+4x+1)
integral de (4+4tan^2(v))	\int\:(4+4\tan^{2}(v))dv
(sin(x/2))^'	(\sin(\frac{x}{2}))^{\prime\:}
(\partial)/(\partial x)(xy^2+ye^{x^2}+5)	\frac{\partial\:}{\partial\:x}(xy^{2}+ye^{x^{2}}+5)
(dy)/(dx)+2xy=2x^3,y(0)=2	\frac{dy}{dx}+2xy=2x^{3},y(0)=2
(dy)/(dx)+y=xy^2	\frac{dy}{dx}+y=xy^{2}
derivative y=ln(t^2)-arctan(t/3)	derivative\:y=\ln(t^{2})-\arctan(\frac{t}{3})
derivative (t+1710)/(50(t+2))	derivative\:\frac{t+1710}{50(t+2)}
inverselaplace-2/(s^3(s-3))	inverselaplace\:-\frac{2}{s^{3}(s-3)}
integral de 0 a N de e^{-st}e^{-2t}	\int\:_{0}^{N}e^{-st}e^{-2t}dt
tangent f(x)=(x^2+3x-5)(1-x),\at x=2	tangent\:f(x)=(x^{2}+3x-5)(1-x),\at\:x=2
derivative (3x)/(x+1)	derivative\:\frac{3x}{x+1}
integral de 1/(sqrt(2x^2-3))	\int\:\frac{1}{\sqrt{2x^{2}-3}}dx
integral de 0 a 1 de (x^2+2x+3)e^{2x}	\int\:_{0}^{1}(x^{2}+2x+3)e^{2x}dx
derivative y=ln(x^4(x))	derivative\:y=\ln(x^{4}(x))
derivative f(x)=3x-x^2	derivative\:f(x)=3x-x^{2}
derivada de 1/(ln(ln(ln(x))))	\frac{d}{dx}(\frac{1}{\ln(\ln(\ln(x)))})
f(x)=(2x^{-2}+3)^{-3}	f(x)=(2x^{-2}+3)^{-3}
derivative tan(2t)	derivative\:\tan(2t)
derivada de e^x(sin(x))	\frac{d}{dx}(e^{x}(\sin(x)))
inverselaplace 3/(s^3)	inverselaplace\:\frac{3}{s^{3}}
y^'+10x^4y=50x^9e^{3x^5}	y^{\prime\:}+10x^{4}y=50x^{9}e^{3x^{5}}
integral de 4sin^3(2x)	\int\:4\sin^{3}(2x)dx
integral de 13-x	\int\:13-xdx
límite cuando x tiende a-1 de 4/(x^2+2x+3)	\lim\:_{x\to\:-1}(\frac{4}{x^{2}+2x+3})
integral de (pisin(x)+sqrt(2)cos(x))	\int\:(π\sin(x)+\sqrt{2}\cos(x))dx
integral de sqrt(3-x)*x^2	\int\:\sqrt{3-x}\cdot\:x^{2}dx
integral de (3xsqrt(4x^2-6))/5	\int\:\frac{3x\sqrt{4x^{2}-6}}{5}dx
integral de 1 a infinity de y/(y^4+1)	\int\:_{1}^{\infty\:}\frac{y}{y^{4}+1}dy
taylor e^{9x}	taylor\:e^{9x}
derivative f(t)=sin^2(t)	derivative\:f(t)=\sin^{2}(t)
derivative (x^3)/2	derivative\:\frac{x^{3}}{2}
integral de 8	\int\:8dx
integral de 50x^9e^{5x^5}	\int\:50x^{9}e^{5x^{5}}dx
derivada de (x^2/(sin^2(x)))	\frac{d}{dx}(\frac{x^{2}}{\sin^{2}(x)})
límite cuando x tiende a 3-de (\|3-x\|)/(x-3)	\lim\:_{x\to\:3-}(\frac{\left\|3-x\right\|}{x-3})
(\partial)/(\partial x)(2x^2-6y^3+3z^2)	\frac{\partial\:}{\partial\:x}(2x^{2}-6y^{3}+3z^{2})
integral de sin^4(x)cos^5(x)	\int\:\sin^{4}(x)\cos^{5}(x)dx
derivative f(x)=7e^x+4/(\sqrt[3]{x)}	derivative\:f(x)=7e^{x}+\frac{4}{\sqrt[3]{x}}
derivada de 3x-sin(x)	\frac{d}{dx}(3x-\sin(x))
integral de 1/(7-7x)	\int\:\frac{1}{7-7x}dx
integral de (x^2+x+2)/(x^4+5x^2+4)	\int\:\frac{x^{2}+x+2}{x^{4}+5x^{2}+4}dx
integral de 6x^5-8x^4-9x^2	\int\:6x^{5}-8x^{4}-9x^{2}dx
y^'=2te^{7y}	y^{\prime\:}=2te^{7y}
integral de xe^{-4x}	\int\:xe^{-4x}dx
derivative f(x)=(-3)/(x^4)	derivative\:f(x)=\frac{-3}{x^{4}}
integral de 4 a 69 de 1/(x^3-64)	\int\:_{4}^{69}\frac{1}{x^{3}-64}dx
límite cuando x tiende a 0 de x^2+4	\lim\:_{x\to\:0}(x^{2}+4)
derivative f(x)=e^x(3x^2-6x+6)	derivative\:f(x)=e^{x}(3x^{2}-6x+6)
y^'=(t+y)^2-1,y(1)=5	y^{\prime\:}=(t+y)^{2}-1,y(1)=5
derivada de 2/(x^2-4)	\frac{d}{dx}(\frac{2}{x^{2}-4})
derivada de e^xarcsin(x)	\frac{d}{dx}(e^{x}\arcsin(x))
integral de-2 a 3 de x	\int\:_{-2}^{3}xdx
integral de 0 a 2 de (x^2-3x)	\int\:_{0}^{2}(x^{2}-3x)dx
tangent f(x)=(2x+5)/(5x-1),\at x=-1	tangent\:f(x)=\frac{2x+5}{5x-1},\at\:x=-1
integral de (x^2+6x)/(x^3-x^2+x-1)	\int\:\frac{x^{2}+6x}{x^{3}-x^{2}+x-1}dx
límite cuando x tiende a 2 de (x+1)*(x+3)	\lim\:_{x\to\:2}((x+1)\cdot\:(x+3))
(\partial)/(\partial x)(xe^{-x}(a+bx+cx^2))	\frac{\partial\:}{\partial\:x}(xe^{-x}(a+bx+cx^{2}))
(\partial)/(\partial x)(x^3y^2-2xy^3)	\frac{\partial\:}{\partial\:x}(x^{3}y^{2}-2xy^{3})
derivative (x^2-3)(x^3-2x)	derivative\:(x^{2}-3)(x^{3}-2x)
integral de 3 a 9 de sqrt(1+x^4+2x^2)	\int\:_{3}^{9}\sqrt{1+x^{4}+2x^{2}}dx
derivative y=\sqrt[3]{1+7x}	derivative\:y=\sqrt[3]{1+7x}
derivada de 18x^2	\frac{d}{dx}(18x^{2})
derivada de sqrt(8x^2+2x-3)	\frac{d}{dx}(\sqrt{8x^{2}+2x-3})
integral de 1 a 4 de x^2+1/(4x^2)	\int\:_{1}^{4}x^{2}+\frac{1}{4x^{2}}dx
integral de (e^x)/(a+be^x)	\int\:\frac{e^{x}}{a+be^{x}}dx
(3+x^2)y^'-2xy=0	(3+x^{2})y^{\prime\:}-2xy=0
integral de 0 a 1 de xsqrt(x^2+1)	\int\:_{0}^{1}x\sqrt{x^{2}+1}dx
integral de 1/(7x^7)	\int\:\frac{1}{7x^{7}}dx
derivada de sin(4x+2x^{3/2})	\frac{d}{dx}(\sin(4x)+2x^{\frac{3}{2}})
taylor sin(x),x= pi/4	taylor\:\sin(x),x=\frac{π}{4}
derivada de (ln(x)dx)	\frac{d}{dx}((\ln(x))dx)
límite cuando x tiende a-1+de sqrt(2x+2)	\lim\:_{x\to\:-1+}(\sqrt{2x+2})
integral de e^x*cos(x/2)	\int\:e^{x}\cdot\:\cos(\frac{x}{2})dx
derivative 5e^x+2/(\sqrt[3]{x)}	derivative\:5e^{x}+\frac{2}{\sqrt[3]{x}}
integral de 1/(e^{x^2)}	\int\:\frac{1}{e^{x^{2}}}dx
integral de 1/(sqrt(t^2-4t+40))	\int\:\frac{1}{\sqrt{t^{2}-4t+40}}dt
integral de (20-20x)/(1-sqrt(x))	\int\:\frac{20-20x}{1-\sqrt{x}}dx
tangent f(x)=2x^2-7x+5	tangent\:f(x)=2x^{2}-7x+5
integral de (x^3+2x^2-18x+2)/(x^2+x-12)	\int\:\frac{x^{3}+2x^{2}-18x+2}{x^{2}+x-12}dx
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=7	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=7
límite cuando x tiende a 1 de-2x+3	\lim\:_{x\to\:1}(-2x+3)
laplacetransform (t+2)^2	laplacetransform\:(t+2)^{2}

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