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Problemas populares de Cálculo

y^{''}=4t^3+t	y^{\prime\:\prime\:}=4t^{3}+t
área y=(x-5)x(x+5),y=5-x	area\:y=(x-5)x(x+5),y=5-x
integral de 0 a 0.6 de 150x	\int\:_{0}^{0.6}150xdx
inversalaplace ((1-e^{-s}))/s	inverselaplace\:\frac{(1-e^{-s})}{s}
derivada de (e^x/(cos(x)))	\frac{d}{dx}(\frac{e^{x}}{\cos(x)})
taylor x^3-4sqrt(x)+log_{e}(x)	taylor\:x^{3}-4\sqrt{x}+\log_{e}(x)
(\partial)/(\partial x)(-3xy^2+2ycos(x))	\frac{\partial\:}{\partial\:x}(-3xy^{2}+2y\cos(x))
(\partial)/(\partial y)(2(y+1)x^2)	\frac{\partial\:}{\partial\:y}(2(y+1)x^{2})
integral de-1/2 x^3e^{-x}	\int\:-\frac{1}{2}x^{3}e^{-x}dx
integral de v/(sqrt(1+v^2))	\int\:\frac{v}{\sqrt{1+v^{2}}}dv
integral de 0.06q-0.6q-(7700)/(q^2)	\int\:0.06q-0.6q-\frac{7700}{q^{2}}dq
(dy)/(dx)=a-by^2	\frac{dy}{dx}=a-by^{2}
integral de 1 a 2 de sqrt(4x^2-3)	\int\:_{1}^{2}\sqrt{4x^{2}-3}dx
límite cuando x tiende a 2-de kx^2	\lim\:_{x\to\:2-}(kx^{2})
límite cuando x tiende a 0 de (-1)/(5x+25)	\lim\:_{x\to\:0}(\frac{-1}{5x+25})
(\partial)/(\partial x)(2xarctan(y/z))	\frac{\partial\:}{\partial\:x}(2x\arctan(\frac{y}{z}))
límite cuando x tiende a 1 de (inx)/(x-1)	\lim\:_{x\to\:1}(\frac{inx}{x-1})
derivative 1/(sqrt(x+1))	derivative\:\frac{1}{\sqrt{x+1}}
integral de x(x^2-1)^7	\int\:x(x^{2}-1)^{7}dx
integral de 5x(x^4-1/5)	\int\:5x(x^{4}-\frac{1}{5})dx
integral de 2 a 4 de ((x+y))/(55)	\int\:_{2}^{4}\frac{(x+y)}{55}dy
derivative f(x)=sqrt(12x+\sqrt{x)}	derivative\:f(x)=\sqrt{12x+\sqrt{x}}
derivada de sin^2(2xcos^3(3x))	\frac{d}{dx}(\sin^{2}(2x)\cos^{3}(3x))
límite cuando x tiende a infinity de (4^x+4^x)^{1/(2x)}	\lim\:_{x\to\:\infty\:}((4^{x}+4^{x})^{\frac{1}{2x}})
integral de (x+16)/(x^2+2x-8)	\int\:\frac{x+16}{x^{2}+2x-8}dx
límite cuando x tiende a 0 de x^6cos(4/x)	\lim\:_{x\to\:0}(x^{6}\cos(\frac{4}{x}))
integral de 0 a pi/4 de 7tan^3(x)	\int\:_{0}^{\frac{π}{4}}7\tan^{3}(x)dx
integral de (3x)/((x^2+3)^2)	\int\:\frac{3x}{(x^{2}+3)^{2}}dx
derivative f(x)=sqrt(x)+2	derivative\:f(x)=\sqrt{x}+2
límite cuando x tiende a-1 de x^2-3x+1	\lim\:_{x\to\:-1}(x^{2}-3x+1)
derivada de (sqrt(3x-1)/((2-x)^2))	\frac{d}{dx}(\frac{\sqrt{3x-1}}{(2-x)^{2}})
dx-2xydy=0	dx-2xydy=0
derivada de ((x-1(x^2+x+1))/(x^3))	\frac{d}{dx}(\frac{(x-1)(x^{2}+x+1)}{x^{3}})
tangent f(x)=3-2x+4x^3,\at x=-1	tangent\:f(x)=3-2x+4x^{3},\at\:x=-1
integral de 1/(e^{x/3)+e^{x/6}}	\int\:\frac{1}{e^{\frac{x}{3}}+e^{\frac{x}{6}}}dx
derivada de 7e^{8x}	\frac{d}{dx}(7e^{8x})
f(x)=sqrt(25-x^2)	f(x)=\sqrt{25-x^{2}}
derivada de (50x^4/(2^x))	\frac{d}{dx}(\frac{50x^{4}}{2^{x}})
integral de 0 a 6 de 12x-3x^2	\int\:_{0}^{6}12x-3x^{2}dx
tangent f(x)=x^3-x,\at x=-1	tangent\:f(x)=x^{3}-x,\at\:x=-1
límite cuando x tiende a infinity de 5^x+5	\lim\:_{x\to\:\infty\:}(5^{x}+5)
derivative x^2\sqrt[4]{4x-7}	derivative\:x^{2}\sqrt[4]{4x-7}
(\partial)/(\partial x)(xcos(x^2y))	\frac{\partial\:}{\partial\:x}(x\cos(x^{2}y))
d/(dy)(y^3+kxy^4-2x)	\frac{d}{dy}(y^{3}+kxy^{4}-2x)
integral de 1/(x^2)sin(1/x)cos(1/x)	\int\:\frac{1}{x^{2}}\sin(\frac{1}{x})\cos(\frac{1}{x})dx
integral de 0 a 3 de xf(x^2)	\int\:_{0}^{3}xf(x^{2})dx
integral de 0 a 2 de 4x^2-2x^3	\int\:_{0}^{2}4x^{2}-2x^{3}dx
derivada de x(x-3^2)	\frac{d}{dx}(x(x-3)^{2})
área y=x^2,y=-x^2+4x	area\:y=x^{2},y=-x^{2}+4x
integral de 12sin^6(x)cos^3(x)	\int\:12\sin^{6}(x)\cos^{3}(x)dx
derivative f(x)=x^{5/11}(x-5)^2	derivative\:f(x)=x^{\frac{5}{11}}(x-5)^{2}
(\partial)/(\partial x)((3x+2y)/(y^2+5x^2))	\frac{\partial\:}{\partial\:x}(\frac{3x+2y}{y^{2}+5x^{2}})
integral de 3+4x	\int\:3+4xdx
integral de 1/(x^4sqrt(4-x^2))	\int\:\frac{1}{x^{4}\sqrt{4-x^{2}}}dx
integral de (e^{5x})/5	\int\:\frac{e^{5x}}{5}dx
integral de 0 a 1 de (2x)/((x^2+3)^2)	\int\:_{0}^{1}\frac{2x}{(x^{2}+3)^{2}}dx
tangent f(x)=(-9x^2)/2+7x+2	tangent\:f(x)=\frac{-9x^{2}}{2}+7x+2
(\partial)/(\partial y)(arctan(x^4y^3))	\frac{\partial\:}{\partial\:y}(\arctan(x^{4}y^{3}))
laplacetransformación 5(t-1)	laplacetransform\:5(t-1)
derivada de A/(B+Ce^x)	\frac{d}{dx}(\frac{A}{B+Ce^{x}})
integral de e^{ax}	\int\:e^{ax}dx
derivative f(x)=(sqrt(1-x^2))/(2x+1)	derivative\:f(x)=\frac{\sqrt{1-x^{2}}}{2x+1}
2tx^{''}-x^'+1/((x^'))=0	2tx^{\prime\:\prime\:}-x^{\prime\:}+\frac{1}{(x^{\prime\:})}=0
integral de ((x^3))/(sqrt(x^2+16))	\int\:\frac{(x^{3})}{\sqrt{x^{2}+16}}dx
integral de (4+6u)/(sqrt(u))	\int\:\frac{4+6u}{\sqrt{u}}du
integral de (x^2+4x)cos(x)	\int\:(x^{2}+4x)\cos(x)dx
integral de 3xe^{0.5x^2}	\int\:3xe^{0.5x^{2}}dx
integral de (20x+9)	\int\:(20x+9)dx
derivative f(x)=-2x^3	derivative\:f(x)=-2x^{3}
integral de sqrt(y)sin(y)	\int\:\sqrt{y}\sin(y)dy
derivada de x^2-9	\frac{d}{dx}(x^{2}-9)
integral de arctan(2/x)	\int\:\arctan(\frac{2}{x})dx
laplacetransformación 1-u	laplacetransform\:1-u
y^'=4-0.75y	y^{\prime\:}=4-0.75y
serie de n=2 a infinity de 8/(n^2-1)	\sum\:_{n=2}^{\infty\:}\frac{8}{n^{2}-1}
área 1/(x^2)-x,x=2,x=3	area\:\frac{1}{x^{2}}-x,x=2,x=3
(\partial)/(\partial u)(cos(u))	\frac{\partial\:}{\partial\:u}(\cos(u))
derivative 5e^{5x}	derivative\:5e^{5x}
integral de 0 a 1 de x(x^2+2)^2	\int\:_{0}^{1}x(x^{2}+2)^{2}dx
integral de e^{0.25x}	\int\:e^{0.25x}dx
integral de ((x+6))/(x+1)	\int\:\frac{(x+6)}{x+1}dx
(\partial)/(\partial y)(x^4-x^2y)	\frac{\partial\:}{\partial\:y}(x^{4}-x^{2}y)
integral de-1 a 2 de (x^3-x+2)	\int\:_{-1}^{2}(x^{3}-x+2)dx
derivada de (10-5x^4)	\frac{d}{dx}((10-5x)^{4})
derivative f(x)=(cot(x))^4	derivative\:f(x)=(\cot(x))^{4}
derivative g(u)=((u^3-1)/(u^3+1))^8	derivative\:g(u)=(\frac{u^{3}-1}{u^{3}+1})^{8}
(\partial)/(\partial v)(uv)	\frac{\partial\:}{\partial\:v}(uv)
18y^'=y(y^2-9)	18y^{\prime\:}=y(y^{2}-9)
límite cuando x tiende a 1 de 1/((1.5-1)^2)	\lim\:_{x\to\:1}(\frac{1}{(1.5-1)^{2}})
(\partial)/(\partial x)(tan(4xy^5))	\frac{\partial\:}{\partial\:x}(\tan(4xy^{5}))
derivada de (2x^2+x-1/(x^2-1))	\frac{d}{dx}(\frac{2x^{2}+x-1}{x^{2}-1})
área x^2-2x+3,x=-2,x=1	area\:x^{2}-2x+3,x=-2,x=1
derivada de (2x^2-6^{-10})	\frac{d}{dx}((2x^{2}-6)^{-10})
y^{''}-8y^'+16y=t-2e^{4t}	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=t-2e^{4t}
integral de (x^3-1)^2	\int\:(x^{3}-1)^{2}dx
(dy)/(dx)=cos(x)*e^{y+sin(x)}	\frac{dy}{dx}=\cos(x)\cdot\:e^{y+\sin(x)}
integral de 0 a 1 de (31)/(4y-1)	\int\:_{0}^{1}\frac{31}{4y-1}dy
integral de sqrt(900-25x^2)	\int\:\sqrt{900-25x^{2}}dx
integral de 4xe^{(4x)/3}	\int\:4xe^{\frac{4x}{3}}dx
integral de x(2x-1)	\int\:x(2x-1)dx

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