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Problemas populares de Cálculo

f(x)= 3/(x-2)	f(x)=\frac{3}{x-2}
laplacetransformación-4cos(3t)	laplacetransform\:-4\cos(3t)
integral de (10800q)/(9q^2+675)	\int\:\frac{10800q}{9q^{2}+675}dq
integral de ((arctan(x)))/(1+x^2)	\int\:\frac{(\arctan(x))}{1+x^{2}}dx
tangent f(x)=x^3,(0,0)	tangent\:f(x)=x^{3},(0,0)
derivative f(x)=3(5-x)^2	derivative\:f(x)=3(5-x)^{2}
derivada de (9x+2^{2/3})	\frac{d}{dx}((9x+2)^{\frac{2}{3}})
integral de sin(ax)cos(ax)	\int\:\sin(ax)\cos(ax)dx
límite cuando x tiende a 0 de (1/3)^{1/x}	\lim\:_{x\to\:0}((\frac{1}{3})^{\frac{1}{x}})
integral de 1 a 2 de (ln(t))/(t^2)	\int\:_{1}^{2}\frac{\ln(t)}{t^{2}}dt
integral de (sin(x))/(1-sin(x))	\int\:\frac{\sin(x)}{1-\sin(x)}dx
integral de 7x^6-6/(x^6)	\int\:7x^{6}-\frac{6}{x^{6}}dx
integral de sqrt(5+2x)	\int\:\sqrt{5+2x}dx
límite cuando h tiende a 0 de ((a+h)-(a))/h	\lim\:_{h\to\:0}(\frac{(a+h)-(a)}{h})
serie de n=1 a infinity de (5)^{-n}	\sum\:_{n=1}^{\infty\:}(5)^{-n}
integral de-3 a 3 de sin(x)x	\int\:_{-3}^{3}\sin(x)xdx
derivada de x^{9/2}	\frac{d}{dx}(x^{\frac{9}{2}})
integral de u/(sqrt(1-u^2))	\int\:\frac{u}{\sqrt{1-u^{2}}}du
2xdy-2ydx=sqrt(x^2+4y^2)dx	2xdy-2ydx=\sqrt{x^{2}+4y^{2}}dx
integral de (x^2)/(sqrt(25+x^6))	\int\:\frac{x^{2}}{\sqrt{25+x^{6}}}dx
(\partial)/(\partial x)(e^{-4t}cos(pix))	\frac{\partial\:}{\partial\:x}(e^{-4t}\cos(πx))
tangent y=(sqrt(x))/(x+4),(1,0.2)	tangent\:y=\frac{\sqrt{x}}{x+4},(1,0.2)
d/(dy)(-2y)	\frac{d}{dy}(-2y)
laplacetransformación (1-3sin(4t))^2	laplacetransform\:(1-3\sin(4t))^{2}
derivative 3x-1	derivative\:3x-1
(\partial)/(\partial x)(ln(16x^2-13y^2))	\frac{\partial\:}{\partial\:x}(\ln(16x^{2}-13y^{2}))
extreme f(y)=2x^2+3xy+4y^2+5x+6y-7	extreme\:f(y)=2x^{2}+3xy+4y^{2}+5x+6y-7
(x^2+y^2-3)dx=(y+xy)dy,y(0)=1	(x^{2}+y^{2}-3)dx=(y+xy)dy,y(0)=1
(dy)/(dx)=1+e^{y-x+5}	\frac{dy}{dx}=1+e^{y-x+5}
d/(dy)(sqrt(y/3))	\frac{d}{dy}(\sqrt{\frac{y}{3}})
límite cuando x tiende a infinity de 4-1/x	\lim\:_{x\to\:\infty\:}(4-\frac{1}{x})
integral de (sec^2(x))/(tan^2(x))	\int\:\frac{\sec^{2}(x)}{\tan^{2}(x)}dx
límite cuando x tiende a-4 de 3x+1	\lim\:_{x\to\:-4}(3x+1)
(\partial)/(\partial h)(2pirh+pir^2)	\frac{\partial\:}{\partial\:h}(2πrh+πr^{2})
derivada de (2y/(3x^2+2y^2))	\frac{d}{dx}(\frac{2y}{3x^{2}+2y^{2}})
y^{''}+14y^'+85y=0	y^{\prime\:\prime\:}+14y^{\prime\:}+85y=0
derivative (3x+2)/(4x)	derivative\:\frac{3x+2}{4x}
límite cuando x tiende a 3 de x+3x-3	\lim\:_{x\to\:3}(x+3x-3)
integral de-3 a 0 de xsqrt(1-x)	\int\:_{-3}^{0}x\sqrt{1-x}dx
integral de 6xe^x	\int\:6xe^{x}dx
derivada de 8^xln(x)	\frac{d}{dx}(8^{x}\ln(x))
(\partial)/(\partial x)(e^{6x+7y})	\frac{\partial\:}{\partial\:x}(e^{6x+7y})
derivada de 2/(1-6x)	\frac{d}{dx}(\frac{2}{1-6x})
integral de 1/9	\int\:\frac{1}{9}
integral de 0 a 1 de y/(e^{4y)}	\int\:_{0}^{1}\frac{y}{e^{4y}}dy
derivada de xsqrt(x+6)	\frac{d}{dx}(x\sqrt{x+6})
límite cuando x tiende a infinity de-1/x+1	\lim\:_{x\to\:\infty\:}(-\frac{1}{x}+1)
derivative f(x)=ln((sqrt(4+x^2))/x)	derivative\:f(x)=\ln(\frac{\sqrt{4+x^{2}}}{x})
tangent f(x)=20sqrt(x),(4,40)	tangent\:f(x)=20\sqrt{x},(4,40)
y^{''}+5y^'-2y=0	y^{\prime\:\prime\:}+5y^{\prime\:}-2y=0
integral de 1/(sqrt(t^2-12t+40))	\int\:\frac{1}{\sqrt{t^{2}-12t+40}}dt
límite cuando x tiende a 0-de 1/(sqrt(1/x))	\lim\:_{x\to\:0-}(\frac{1}{\sqrt{\frac{1}{x}}})
derivative (t^6+26t^4-t^3+179)^{73}	derivative\:(t^{6}+26t^{4}-t^{3}+179)^{73}
límite cuando x tiende a 0 de (1+4/x)^x	\lim\:_{x\to\:0}((1+\frac{4}{x})^{x})
pendienteintercept (0,32),(100,212)	slopeintercept\:(0,32),(100,212)
d/(dt)((e^t)/(4-3e^t))	\frac{d}{dt}(\frac{e^{t}}{4-3e^{t}})
serie de n=0 a infinity de n/(2^n)x^n	\sum\:_{n=0}^{\infty\:}\frac{n}{2^{n}}x^{n}
integral de 0 a 1 de 1-x	\int\:_{0}^{1}1-xdx
(\partial)/(\partial x)(xyw)	\frac{\partial\:}{\partial\:x}(xyw)
derivada de cos(2y-3x^2y^2)	\frac{d}{dx}(\cos(2y)-3x^{2}y^{2})
integral de x(x^2+5)^3	\int\:x(x^{2}+5)^{3}dx
integral de 0 a 1 de 1/((x^2+1)^2)	\int\:_{0}^{1}\frac{1}{(x^{2}+1)^{2}}dx
derivada de (1-2x^3/((1+x^3)^2))	\frac{d}{dx}(\frac{1-2x^{3}}{(1+x^{3})^{2}})
derivative (arctan(8x))^2	derivative\:(\arctan(8x))^{2}
integral de 1 a e^2 de ln(x)	\int\:_{1}^{e^{2}}\ln(x)dx
y^{''}+14y^'+58y=0	y^{\prime\:\prime\:}+14y^{\prime\:}+58y=0
derivative 1/(2sqrt(x))+1/(7x^{6/7)}	derivative\:\frac{1}{2\sqrt{x}}+\frac{1}{7x^{\frac{6}{7}}}
integral de 2(x-2)*ln(x-2)	\int\:2(x-2)\cdot\:\ln(x-2)dx
integral de 1/(4-6x)	\int\:\frac{1}{4-6x}dx
dx+dy+xdy=ydx	dx+dy+xdy=ydx
f(x)=(2pi-xcos(x))/(x-2pi)	f(x)=\frac{2π-x\cos(x)}{x-2π}
límite cuando x tiende a+1 de (x-1)/(x^2-x)	\lim\:_{x\to\:+1}(\frac{x-1}{x^{2}-x})
x(dy)/(dx)=8y	x\frac{dy}{dx}=8y
derivada de-1/(2x)	\frac{d}{dx}(-\frac{1}{2x})
integral de (5-4x)/(sqrt(12x-4x^2-8))	\int\:\frac{5-4x}{\sqrt{12x-4x^{2}-8}}dx
5(ln(y))y^'-x^7y=0	5(\ln(y))y^{\prime\:}-x^{7}y=0
integral de (-1)/(1+9x^2)	\int\:\frac{-1}{1+9x^{2}}dx
pendiente (-5,-5),(0,-7)	slope\:(-5,-5),(0,-7)
derivada de (3x-2x^2^3)	\frac{d}{dx}((3x-2x^{2})^{3})
límite cuando x tiende a infinity de 1.04^x	\lim\:_{x\to\:\infty\:}(1.04^{x})
integral de 5x^2sin(8x)	\int\:5x^{2}\sin(8x)dx
(\partial)/(\partial x)(6xy^3z^3+7xyz)	\frac{\partial\:}{\partial\:x}(6xy^{3}z^{3}+7xyz)
(dy)/(dx)=0.75y	\frac{dy}{dx}=0.75y
(dy)/(dx)+6xy^4=0	\frac{dy}{dx}+6xy^{4}=0
(dr}{dθ}=\frac{r^2)/θ ,r(1)=2	\frac{dr}{dθ}=\frac{r^{2}}{θ},r(1)=2
derivada de \sqrt[3]{-e^{-x}}	\frac{d}{dx}(\sqrt[3]{-e^{-x}})
integral de (x^2)/8	\int\:\frac{x^{2}}{8}dx
tangent y= 5/x ,(1/2 ,10)	tangent\:y=\frac{5}{x},(\frac{1}{2},10)
integral de x^2sin(θ)	\int\:x^{2}\sin(θ)dx
integral de (7x^2)/((225+x^2)^2)	\int\:\frac{7x^{2}}{(225+x^{2})^{2}}dx
límite cuando x tiende a 0+de (5x^2)(ln(x))	\lim\:_{x\to\:0+}((5x^{2})(\ln(x)))
tangent y=(x^2-1)/(x^2+x+1),\at x=1	tangent\:y=\frac{x^{2}-1}{x^{2}+x+1},\at\:x=1
integral de 4-4sin(x)+sin^2(x)	\int\:4-4\sin(x)+\sin^{2}(x)dx
integral de sqrt(64-3x^2)	\int\:\sqrt{64-3x^{2}}dx
(\partial)/(\partial x)(x^2e^2)	\frac{\partial\:}{\partial\:x}(x^{2}e^{2})
límite cuando x tiende a 1 de (ax)/3	\lim\:_{x\to\:1}(\frac{ax}{3})
y^'=((4x^3+1))/(2y-6)	y^{\prime\:}=\frac{(4x^{3}+1)}{2y-6}
límite cuando x tiende a 2 de (x^3-4)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{3}-4}{x-2})
8x^2y^'=y^'+2xe^{-y}	8x^{2}y^{\prime\:}=y^{\prime\:}+2xe^{-y}
inversalaplace (s+3)/(s^2+s+3)	inverselaplace\:\frac{s+3}{s^{2}+s+3}

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