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Problemas populares de Cálculo

y^'-y=e^{3x}	y^{\prime\:}-y=e^{3x}
derivative f(x)=11x^4cot(x)	derivative\:f(x)=11x^{4}\cot(x)
derivada de x(5x+1^{1/3})	\frac{d}{dx}(x(5x+1)^{\frac{1}{3}})
área 1/x ,1,4	area\:\frac{1}{x},1,4
tangent y=(5x)/(1+x^2)	tangent\:y=\frac{5x}{1+x^{2}}
límite cuando x tiende a infinity de 12	\lim\:_{x\to\:\infty\:}(12)
tangent y=4x*tan(x),\at x=pi	tangent\:y=4x\cdot\:\tan(x),\at\:x=π
integral de 4sin(sqrt(x))	\int\:4\sin(\sqrt{x})dx
(dy)/(dt)=7te^{2y}	\frac{dy}{dt}=7te^{2y}
(\partial)/(\partial x)(0.5xarctan(y/x))	\frac{\partial\:}{\partial\:x}(0.5x\arctan(\frac{y}{x}))
integral de x^2sin(x/2)	\int\:x^{2}\sin(\frac{x}{2})dx
integral de (sqrt(1+\sqrt{x)})/(sqrt(x))	\int\:\frac{\sqrt{1+\sqrt{x}}}{\sqrt{x}}dx
2(dy)/(dx)-4xy=8x,y(0)=2	2\frac{dy}{dx}-4xy=8x,y(0)=2
integral de 6arctan(8/x)	\int\:6\arctan(\frac{8}{x})dx
derivative y=x^{0.3}	derivative\:y=x^{0.3}
integral de (17)/(x^3-27)	\int\:\frac{17}{x^{3}-27}dx
límite cuando x tiende a 1-de (2x-3)/(x-1)	\lim\:_{x\to\:1-}(\frac{2x-3}{x-1})
derivada de 6cos^3(x)	\frac{d}{dx}(6\cos^{3}(x))
integral de 11+5e^{6-3x}-16	\int\:11+5e^{6-3x}-16dx
derivada de x(49-x^2^{1/2})	\frac{d}{dx}(x(49-x^{2})^{\frac{1}{2}})
integral de (sin(x)cos(x))/(4+sin^4(x))	\int\:\frac{\sin(x)\cos(x)}{4+\sin^{4}(x)}dx
derivada de (x+2/3)	\frac{d}{dx}(\frac{x+2}{3})
límite cuando x tiende a 0 de (tan(pix))/x	\lim\:_{x\to\:0}(\frac{\tan(πx)}{x})
d/(d{x)}(e^{{y}{z}(x)})	\frac{d}{d{x}}(e^{{y}{z}(x)})
límite cuando x tiende a 2 de [4f(-8)+g(2)]	\lim\:_{x\to\:2}([4f(-8)+g(2)])
serie de n=1 a infinity de (-2+3^n)/(2^{2n)}	\sum\:_{n=1}^{\infty\:}\frac{-2+3^{n}}{2^{2n}}
serie de n=1 a infinity de \sqrt[n]{19}	\sum\:_{n=1}^{\infty\:}\sqrt[n]{19}
d/(dθ)(2/(6cos(θ)+7sin(θ)))	\frac{d}{dθ}(\frac{2}{6\cos(θ)+7\sin(θ)})
integral de 0 a 3 de (1/(x^2))	\int\:_{0}^{3}(\frac{1}{x^{2}})dx
límite cuando x tiende a 2 de x^2-8	\lim\:_{x\to\:2}(x^{2}-8)
derivada de-1/4 x^{-3/2}	\frac{d}{dx}(-\frac{1}{4}x^{-\frac{3}{2}})
derivada de (x^2-3x+2/(-x^2-4x+4))	\frac{d}{dx}(\frac{x^{2}-3x+2}{-x^{2}-4x+4})
derivative \sqrt[3]{x^2+4}	derivative\:\sqrt[3]{x^{2}+4}
límite cuando x tiende a 0 de ((e^x-e^{-x}-2x))/((x-sin(x)))	\lim\:_{x\to\:0}(\frac{(e^{x}-e^{-x}-2x)}{(x-\sin(x))})
derivative y= 1/(arctan(x))	derivative\:y=\frac{1}{\arctan(x)}
derivada de arcsin(sqrt(x^2-1))	\frac{d}{dx}(\arcsin(\sqrt{x^{2}-1}))
derivada de 2+x^{3/2}	\frac{d}{dx}(2+x^{\frac{3}{2}})
integral de-2 a 2 de 4	\int\:_{-2}^{2}4dx
(\partial)/(\partial y)(-x^4+4xy-y^4+1)	\frac{\partial\:}{\partial\:y}(-x^{4}+4xy-y^{4}+1)
(\partial)/(\partial y)(ln(y/x))	\frac{\partial\:}{\partial\:y}(\ln(\frac{y}{x}))
límite cuando x tiende a-2 de 4-3x^2	\lim\:_{x\to\:-2}(4-3x^{2})
límite cuando x tiende a 0+de 3+x^8ln(x)	\lim\:_{x\to\:0+}(3+x^{8}\ln(x))
integral de-(20)/(y^{21)}	\int\:-\frac{20}{y^{21}}dy
tangent f(x)=x^2-x^4,\at x=1	tangent\:f(x)=x^{2}-x^{4},\at\:x=1
(\partial)/(\partial x)(9x^{3y})	\frac{\partial\:}{\partial\:x}(9x^{3y})
integral de (sin(ln(45x)))/x	\int\:\frac{\sin(\ln(45x))}{x}dx
integral de 1/(k(ln(k))^2)	\int\:\frac{1}{k(\ln(k))^{2}}dk
límite cuando x tiende a 0 de 1/(sin(1/x))	\lim\:_{x\to\:0}(\frac{1}{\sin(\frac{1}{x})})
derivada de (2x-1^4)	\frac{d}{dx}((2x-1)^{4})
d/(dq)(-q^2+36)	\frac{d}{dq}(-q^{2}+36)
inversalaplace (s+2)/((s+3)^2(s-1))	inverselaplace\:\frac{s+2}{(s+3)^{2}(s-1)}
límite cuando x tiende a 0-de 3/(1+e^{1/x)}	\lim\:_{x\to\:0-}(\frac{3}{1+e^{\frac{1}{x}}})
integral de x(7-x)^2	\int\:x(7-x)^{2}dx
derivative sqrt(1+\sqrt{x)}	derivative\:\sqrt{1+\sqrt{x}}
integral de 6x-5	\int\:6x-5dx
integral de \sqrt[5]{x^4}	\int\:\sqrt[5]{x^{4}}dx
(dy)/(dx)+y/x =y^{-2}	\frac{dy}{dx}+\frac{y}{x}=y^{-2}
derivative ((t^3+t))/((t^4-2))	derivative\:\frac{(t^{3}+t)}{(t^{4}-2)}
y^'+e^xy=y^2	y^{\prime\:}+e^{x}y=y^{2}
derivative (1-4x)/(1+4x)	derivative\:\frac{1-4x}{1+4x}
derivative y=-3x-5	derivative\:y=-3x-5
d/(dy)(1-y)	\frac{d}{dy}(1-y)
límite cuando x tiende a ln(2) de e^x	\lim\:_{x\to\:\ln(2)}(e^{x})
derivative y=-2x+1	derivative\:y=-2x+1
integral de (x^4)/((1-x^5)^6)	\int\:\frac{x^{4}}{(1-x^{5})^{6}}dx
integral de 3xln(3x)	\int\:3x\ln(3x)dx
integral de (x^4-x^3+x^2)	\int\:(x^{4}-x^{3}+x^{2})dx
integral de 4tan(3/2 x)	\int\:4\tan(\frac{3}{2}x)dx
derivada de 3^x+x^3	\frac{d}{dx}(3^{x}+x^{3})
integral de ((5x^{(2)}))/((2x^{(3))+1)}	\int\:\frac{(5x^{(2)})}{(2x^{(3)}+1)}dx
integral de e a infinity de x^eln(x)	\int\:_{e}^{\infty\:}x^{e}\ln(x)dx
tangent f(x)=csc^2(x),(pi/2 ,1)	tangent\:f(x)=\csc^{2}(x),(\frac{π}{2},1)
integral de 1/((x^2+16)^2)	\int\:\frac{1}{(x^{2}+16)^{2}}dx
pendiente (-2.7)(2.3)	slope\:(-2.7)(2.3)
integral de 0 a 1 de xe^{2x^2}	\int\:_{0}^{1}xe^{2x^{2}}dx
serie de n=1 a infinity de p(1-p)^{2n}	\sum\:_{n=1}^{\infty\:}p(1-p)^{2n}
(dy)/(dx)=(y^2+1)/(x^2+1),y(0)=1	\frac{dy}{dx}=\frac{y^{2}+1}{x^{2}+1},y(0)=1
integral de (3x^7)/(4+x^8)	\int\:\frac{3x^{7}}{4+x^{8}}dx
f(x)=5log_{10}(4x^2)	f(x)=5\log_{10}(4x^{2})
derivada de sin^4(2xcos^4(3x))	\frac{d}{dx}(\sin^{4}(2x)\cos^{4}(3x))
tangent (384x)/(x^2+289)	tangent\:\frac{384x}{x^{2}+289}
tangent 2x^2+3x	tangent\:2x^{2}+3x
integral de 0 a 1.2 de (1-y/2)	\int\:_{0}^{1.2}(1-\frac{y}{2})dy
derivada de u/x	\frac{d}{dx}(\frac{u}{x})
límite cuando x tiende a infinity de x^{sqrt(x)}	\lim\:_{x\to\:\infty\:}(x^{\sqrt{x}})
integral de 2/(xsqrt(x^2-4))	\int\:\frac{2}{x\sqrt{x^{2}-4}}dx
integral de 3 a 4 de-log_{9}(x)	\int\:_{3}^{4}-\log_{9}(x)dx
integral de 2x^2+1/((2x)^2)	\int\:2x^{2}+\frac{1}{(2x)^{2}}dx
(\partial)/(\partial y)(xye^{9y})	\frac{\partial\:}{\partial\:y}(xye^{9y})
límite cuando y tiende a+0 de y/(sin(5y))	\lim\:_{y\to\:+0}(\frac{y}{\sin(5y)})
derivative g(x)=x^{2/3}	derivative\:g(x)=x^{\frac{2}{3}}
integral de 0 a 3 de te^{-1}	\int\:_{0}^{3}te^{-1}dt
taylor e^{-x^2}	taylor\:e^{-x^{2}}
derivada de sqrt((5x+1/(x^2-3)))	\frac{d}{dx}(\sqrt{\frac{5x+1}{x^{2}-3}})
integral de sin^4(x)*cos^7(x)	\int\:\sin^{4}(x)\cdot\:\cos^{7}(x)dx
(\partial)/(\partial y)(x^2+y^2-2x)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}-2x)
integral de cot(48x)	\int\:\cot(48x)dx
derivada de e^{cos(2x}*sin(2x))	\frac{d}{dx}(e^{\cos(2x)}\cdot\:\sin(2x))
límite cuando x tiende a infinity de xxxxx	\lim\:_{x\to\:\infty\:}(xxxxx)
(\partial)/(\partial x)(1/2 x)	\frac{\partial\:}{\partial\:x}(\frac{1}{2}x)

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