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Problemas populares Cálculo

derivative ((t^3)/(t^6+5))^2	derivative\:(\frac{t^{3}}{t^{6}+5})^{2}
derivada de (e^{2x}/(1+sin(pix)))	\frac{d}{dx}(\frac{e^{2x}}{1+\sin(πx)})
límite cuando x tiende a 3-de-1/(x-3)	\lim\:_{x\to\:3-}(-\frac{1}{x-3})
integral de 1 a 3 de (x^2+1)	\int\:_{1}^{3}(x^{2}+1)dx
y^{''}+3y^'=6e^{-3t},y(0)=8,y^'(0)=-4	y^{\prime\:\prime\:}+3y^{\prime\:}=6e^{-3t},y(0)=8,y^{\prime\:}(0)=-4
derivada de e^xx^3+6e^xx^2+6e^xx	\frac{d}{dx}(e^{x}x^{3}+6e^{x}x^{2}+6e^{x}x)
y^2dx-(1-x)dy=0	y^{2}dx-(1-x)dy=0
límite cuando x tiende a 0 de 3	\lim\:_{x\to\:0}(3)
derivada de-3x^5+4x^{-3}-5x^{-2}+5	\frac{d}{dx}(-3x^{5}+4x^{-3}-5x^{-2}+5)
límite cuando x tiende a infinity de x/(2a)	\lim\:_{x\to\:\infty\:}(\frac{x}{2a})
(\partial)/(\partial x)(x/(R(x)))	\frac{\partial\:}{\partial\:x}(\frac{x}{R(x)})
serie de n=2 a infinity de 3/(7^n)	\sum\:_{n=2}^{\infty\:}\frac{3}{7^{n}}
inverselaplace s/(10(s^2+10s+9.8))	inverselaplace\:\frac{s}{10(s^{2}+10s+9.8)}
derivada de (sqrt(x)^3)	\frac{d}{dx}((\sqrt{x})^{3})
integral de x^7sqrt(x^4+7)	\int\:x^{7}\sqrt{x^{4}+7}dx
derivative (4x+4)/(3x^{2/3)}	derivative\:\frac{4x+4}{3x^{\frac{2}{3}}}
derivada de cos^6(3x^2+4)	\frac{d}{dx}(\cos^{6}(3x^{2}+4))
laplacetransform 3sin(sqrt(2))	laplacetransform\:3\sin(\sqrt{2})
pendiente 3x^3+5y^3=1	slope\:3x^{3}+5y^{3}=1
y^'-e^{7x+y}=0	y^{\prime\:}-e^{7x+y}=0
límite cuando x tiende a 2 de 3x+a	\lim\:_{x\to\:2}(3x+a)
área x^2,25,0,5	area\:x^{2},25,0,5
integral de x^2+4	\int\:x^{2}+4dx
derivada de (x-a(x-b)(x-c))	\frac{d}{dx}((x-a)(x-b)(x-c))
(dy)/(dt)+(4y)/(200+3t)=8	\frac{dy}{dt}+\frac{4y}{200+3t}=8
f(x)=2sec^2(x)tan(x)	f(x)=2\sec^{2}(x)\tan(x)
integral de (21)/((x^2-1)^2)	\int\:\frac{21}{(x^{2}-1)^{2}}dx
d/(dt)(e^{-2t}{y}(t))	\frac{d}{dt}(e^{-2t}{y}(t))
derivative 2sin(2x)	derivative\:2\sin(2x)
derivative f(x)=sqrt(3x+7)	derivative\:f(x)=\sqrt{3x+7}
integral de 2x^2+4	\int\:2x^{2}+4dx
límite cuando x tiende a 7+de x	\lim\:_{x\to\:7+}(x)
integral de-2 a 3 de (13)/(x^4)	\int\:_{-2}^{3}\frac{13}{x^{4}}dx
integral de (xarcsin(x))/(sqrt(1-x^2))	\int\:\frac{x\arcsin(x)}{\sqrt{1-x^{2}}}dx
integral de x^i	\int\:x^{i}dx
integral de ((x+2))/(x+1)	\int\:\frac{(x+2)}{x+1}dx
límite cuando x tiende a 1 de (x-1)/(x^2+1)	\lim\:_{x\to\:1}(\frac{x-1}{x^{2}+1})
integral de sqrt(6x+3)	\int\:\sqrt{6x+3}dx
serie de n=1 a infinity de 1/(e^{n^3)}	\sum\:_{n=1}^{\infty\:}\frac{1}{e^{n^{3}}}
límite cuando x tiende a-6 de (x^2+6)/(x-6)	\lim\:_{x\to\:-6}(\frac{x^{2}+6}{x-6})
derivada de e^{2-3x}	\frac{d}{dx}(e^{2-3x})
derivada de 3cosh(x)	\frac{d}{dx}(3\cosh(x))
derivada de sin^{-3}(x)	\frac{d}{dx}(\sin^{-3}(x))
integral de ((x^5+x^2-x+5)/x)	\int\:(\frac{x^{5}+x^{2}-x+5}{x})dx
pendiente (2,-4),(5,8)	slope\:(2,-4),(5,8)
(\partial)/(\partial y)(x^2-xy+9y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-xy+9y^{2})
(\partial)/(\partial x)(9e^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(9e^{\sqrt{xy}})
derivada de (e^{sqrt(ln(x)})^{2^{-x}})	\frac{d}{dx}((e^{\sqrt{\ln(x)}})^{2^{-x}})
integral de (12)/(x^2-1)	\int\:\frac{12}{x^{2}-1}dx
derivada de (6x/(e^x))	\frac{d}{dx}(\frac{6x}{e^{x}})
integral de x^2cos(wx)	\int\:x^{2}\cos(wx)dx
f(I)=(110I)/(I^2+I+1)	f(I)=\frac{110I}{I^{2}+I+1}
derivative arctan(4t)	derivative\:\arctan(4t)
integral de (x^2)/(3-x^3)	\int\:\frac{x^{2}}{3-x^{3}}dx
derivative 1500x+3000(5x+3)^{-1}-1000	derivative\:1500x+3000(5x+3)^{-1}-1000
inverselaplace (e^{-4s})/s	inverselaplace\:\frac{e^{-4s}}{s}
integral de 0 a 5/4 de 1/(25+16x^2)	\int\:_{0}^{\frac{5}{4}}\frac{1}{25+16x^{2}}dx
derivada de yln(x)	\frac{d}{dx}(y\ln(x))
tangent 6cos(t),\at t=-pi/4	tangent\:6\cos(t),\at\:t=-\frac{π}{4}
inverselaplace 2s+1	inverselaplace\:2s+1
tangent f(x)=x^4-4x^3+2x^2-6,\at x=1	tangent\:f(x)=x^{4}-4x^{3}+2x^{2}-6,\at\:x=1
integral de (x^2)/(x^2+x+12)	\int\:\frac{x^{2}}{x^{2}+x+12}dx
xy(dy)/(dx)=7	xy\frac{dy}{dx}=7
integral de 0 a 1 de sin(pit+pi/4)	\int\:_{0}^{1}\sin(πt+\frac{π}{4})dt
y^{'''}+16y^'=0	y^{\prime\:\prime\:\prime\:}+16y^{\prime\:}=0
y^'=((x-1))/y	y^{\prime\:}=\frac{(x-1)}{y}
derivada de 1/(3^{(-x^2-y^2)+1})	\frac{d}{dx}(\frac{1}{3^{(-x^{2}-y^{2})}+1})
integral de t^3sqrt(t^4+5)	\int\:t^{3}\sqrt{t^{4}+5}dt
integral de (-2x)/(\sqrt[4]{x+2)}	\int\:\frac{-2x}{\sqrt[4]{x+2}}dx
límite cuando x tiende a 0 de x^2+3x-1	\lim\:_{x\to\:0}(x^{2}+3x-1)
derivada de 4x^2-5	\frac{d}{dx}(4x^{2}-5)
(d^2)/(dx^2)(3sqrt(x)-7/x)	\frac{d^{2}}{dx^{2}}(3\sqrt{x}-\frac{7}{x})
derivada de 32cos(2x)	\frac{d}{dx}(32\cos(2x))
límite cuando x tiende a-2 de 3	\lim\:_{x\to\:-2}(3)
derivada de 8sec^2(x)	\frac{d}{dx}(8\sec^{2}(x))
integral de 1 a sqrt(2 de)xe^{x^2}	\int\:_{1}^{\sqrt{2}}xe^{x^{2}}dx
integral de-2tan(2y)	\int\:-2\tan(2y)dy
área 12-x^2,x^2-6,[-3,3]	area\:12-x^{2},x^{2}-6,[-3,3]
tangent y= 1/x ,(2, 1/2)	tangent\:y=\frac{1}{x},(2,\frac{1}{2})
(\partial)/(\partial x)(e^{sin(x)})	\frac{\partial\:}{\partial\:x}(e^{\sin(x)})
derivada de sqrt(16-x)	\frac{d}{dx}(\sqrt{16-x})
límite cuando x tiende a 0 de (cos(x-1))/x	\lim\:_{x\to\:0}(\frac{\cos(x-1)}{x})
derivative x^{11/12}	derivative\:x^{\frac{11}{12}}
área y^2=x,y=-x+2	area\:y^{2}=x,y=-x+2
laplacetransform e^{-4t}+5	laplacetransform\:e^{-4t}+5
taylor x^{1/2},1	taylor\:x^{\frac{1}{2}},1
derivada de sin(x^2+(1-x)/(1+x))	\frac{d}{dx}(\sin(x^{2})+\frac{1-x}{1+x})
derivada de (4x/(9-tan(x)))	\frac{d}{dx}(\frac{4x}{9-\tan(x)})
(\partial)/(\partial z)(xe^{{w}(x,z)})	\frac{\partial\:}{\partial\:z}(xe^{{w}(x,z)})
ln(x)-x^2y=xy^'	\ln(x)-x^{2}y=xy^{\prime\:}
integral de 1 a 4 de 5/(sqrt(x))	\int\:_{1}^{4}\frac{5}{\sqrt{x}}dx
(dx)/(dt)=-ax	\frac{dx}{dt}=-ax
integral de 3 a 7 de x/(x^2-2)	\int\:_{3}^{7}\frac{x}{x^{2}-2}dx
tangent y=x^2-5x+5(0.5)	tangent\:y=x^{2}-5x+5(0.5)
derivative F(s)=ln(ln(6s))	derivative\:F(s)=\ln(\ln(6s))
integral de 0 a pi/2 de sec(x)	\int\:_{0}^{\frac{π}{2}}\sec(x)dx
límite cuando t tiende a 0 de (tan(10t))/(sin(2t))	\lim\:_{t\to\:0}(\frac{\tan(10t)}{\sin(2t)})
derivada de x*e^{3x}	\frac{d}{dx}(x\cdot\:e^{3x})
integral de 1/(6-x)	\int\:\frac{1}{6-x}dx
(dx)/(dt)+3tx^3+x/t =0	\frac{dx}{dt}+3tx^{3}+\frac{x}{t}=0

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