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Problemas populares

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Problemas populares de Cálculo

integral de (sqrt(x))^3	\int\:(\sqrt{x})^{3}dx
tangent f(x)= 1/(x^2),\at x=1	tangent\:f(x)=\frac{1}{x^{2}},\at\:x=1
(\partial)/(\partial x)(e^{-xy}cos(xy))	\frac{\partial\:}{\partial\:x}(e^{-xy}\cos(xy))
(\partial)/(\partial x)(5e^{x^2-4y})	\frac{\partial\:}{\partial\:x}(5e^{x^{2}-4y})
derivada de (x^2+4x-5/(ln(x)))	\frac{d}{dx}(\frac{x^{2}+4x-5}{\ln(x)})
serie de n=1 a infinity de n!e^{-n}	\sum\:_{n=1}^{\infty\:}n!e^{-n}
(dy)/(dx)=y^2sin(x^2)	\frac{dy}{dx}=y^{2}\sin(x^{2})
límite cuando x tiende a-1-de 3/(x^2-1)	\lim\:_{x\to\:-1-}(\frac{3}{x^{2}-1})
(\partial)/(\partial x)((5xy)/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{5xy}{x-y})
tangent f(x)=(6x)/((5-2x)^4),\at x=1	tangent\:f(x)=\frac{6x}{(5-2x)^{4}},\at\:x=1
xsqrt(1+y^2)dx=dy	x\sqrt{1+y^{2}}dx=dy
derivada de (ln(x)/(5x^3))	\frac{d}{dx}(\frac{\ln(x)}{5x^{3}})
integral de 7xsec^2(x)	\int\:7x\sec^{2}(x)dx
derivative 10000-9000e^{-0.3t}	derivative\:10000-9000e^{-0.3t}
inversalaplace s/((s-1)^2)	inverselaplace\:\frac{s}{(s-1)^{2}}
derivative y=2x^{3/2}	derivative\:y=2x^{\frac{3}{2}}
(\partial)/(\partial x)(x^2y^3-4y)	\frac{\partial\:}{\partial\:x}(x^{2}y^{3}-4y)
implicit (dy)/(dx),4xy=8	implicit\:\frac{dy}{dx},4xy=8
integral de 2/(x^3-5x^2+3x+9)	\int\:\frac{2}{x^{3}-5x^{2}+3x+9}dx
(\partial)/(\partial x)(x^y+y^x)	\frac{\partial\:}{\partial\:x}(x^{y}+y^{x})
(\partial)/(\partial x)(2x^3+y)	\frac{\partial\:}{\partial\:x}(2x^{3}+y)
integral de+(4-32x)/(sqrt(1-16x^2))	\int\:+\frac{4-32x}{\sqrt{1-16x^{2}}}dx
integral de (x-1)/(x(x^2+1))	\int\:\frac{x-1}{x(x^{2}+1)}dx
x^2(dy)/(dx)+xy=1	x^{2}\frac{dy}{dx}+xy=1
derivada de x^{2/3}(2x-x^2)	\frac{d}{dx}(x^{\frac{2}{3}}(2x-x^{2}))
(\partial ^3)/(\partial x\partial y\partial z)(e^{xyz^6})	\frac{\partial\:^{3}}{\partial\:x\partial\:y\partial\:z}(e^{xyz^{6}})
(\partial)/(\partial y)(3e^xln(y))	\frac{\partial\:}{\partial\:y}(3e^{x}\ln(y))
integral de 0 a 1 de 6x^4e^{-x}	\int\:_{0}^{1}6x^{4}e^{-x}dx
límite cuando x tiende a 0 de (e^{-9x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{-9x}-1}{x})
límite cuando x tiende a 3 de 5	\lim\:_{x\to\:3}(5)
integral de-2 a 3 de \|x+1\|	\int\:_{-2}^{3}\left\|x+1\right\|dx
y^'=(5x^2+y^2)/(xy)	y^{\prime\:}=\frac{5x^{2}+y^{2}}{xy}
integral de 1 a 2 de t^2sqrt(t^3+1)	\int\:_{1}^{2}t^{2}\sqrt{t^{3}+1}dt
integral de csc^4(3-2x)	\int\:\csc^{4}(3-2x)dx
integral de e^{4x}(4)	\int\:e^{4x}(4)dx
inversalaplace 4/(s^2+2s+2)	inverselaplace\:\frac{4}{s^{2}+2s+2}
integral de (3x^2-sqrt(5x)+2)	\int\:(3x^{2}-\sqrt{5x}+2)dx
integral de (4t+2)^2	\int\:(4t+2)^{2}dt
área f(x)=cos(x),sin(x),0,(2pi)/4	area\:f(x)=\cos(x),\sin(x),0,\frac{2π}{4}
integral de x^6sin(4x)	\int\:x^{6}\sin(4x)dx
f(x)=sqrt(x+\sqrt{x)}	f(x)=\sqrt{x+\sqrt{x}}
(t^{-1})^'	(t^{-1})^{\prime\:}
tangent f(x)=5x^2-x^3	tangent\:f(x)=5x^{2}-x^{3}
(\partial)/(\partial x)(e^{sin(y)})	\frac{\partial\:}{\partial\:x}(e^{\sin(y)})
taylor cos(x^2)*2x	taylor\:\cos(x^{2})\cdot\:2x
integral de 4(6x+1)^5	\int\:4(6x+1)^{5}dx
derivative f(x)=3x^3+3x^2+3x	derivative\:f(x)=3x^{3}+3x^{2}+3x
integral de 0 a 1 de x^4e^{8x}	\int\:_{0}^{1}x^{4}e^{8x}dx
derivative f(x)=(x-2)(2x+3)	derivative\:f(x)=(x-2)(2x+3)
(1-x^2)y^{''}+2xy^'-2y=0	(1-x^{2})y^{\prime\:\prime\:}+2xy^{\prime\:}-2y=0
derivative f(x)=ln(x^3-5x^2+3x-1)	derivative\:f(x)=\ln(x^{3}-5x^{2}+3x-1)
derivative f(t)=3t^3-2/(t^2)	derivative\:f(t)=3t^{3}-\frac{2}{t^{2}}
límite cuando x tiende a 0+de 1/(2x^2)	\lim\:_{x\to\:0+}(\frac{1}{2x^{2}})
derivative sqrt(3+5x)	derivative\:\sqrt{3+5x}
d/(d{x)}(sqrt({x)+{y}{z}})	\frac{d}{d{x}}(\sqrt{{x}+{y}{z}})
derivative 9e^x+8/(\sqrt[3]{x)}	derivative\:9e^{x}+\frac{8}{\sqrt[3]{x}}
laplacetransformación 1.5-1.5e^{-t}	laplacetransform\:1.5-1.5e^{-t}
integral de sec(4x)tan^5(4x)	\int\:\sec(4x)\tan^{5}(4x)dx
(1+x^2)(dy)/(dx)=(1+y)^2	(1+x^{2})\frac{dy}{dx}=(1+y)^{2}
integral de (x^3+x^2)^{12}(3x^2+2x)	\int\:(x^{3}+x^{2})^{12}(3x^{2}+2x)dx
y^'+x^2y=x^2y^4	y^{\prime\:}+x^{2}y=x^{2}y^{4}
integral de (5x^2-4x+4)/(x^3+4x)	\int\:\frac{5x^{2}-4x+4}{x^{3}+4x}dx
integral de 2 a 7 de t^2ln(3t)	\int\:_{2}^{7}t^{2}\ln(3t)dt
integral de-e^{-2csc(2x)}cot(2x)csc(2x)	\int\:-e^{-2\csc(2x)}\cot(2x)\csc(2x)dx
integral de 1/((x-x^2))	\int\:\frac{1}{(x-x^{2})}dx
y^'+x/(x^2+1)y=-4x	y^{\prime\:}+\frac{x}{x^{2}+1}y=-4x
tangent y=(((x+2))/((x-3)))^2,\at x=4	tangent\:y=(\frac{(x+2)}{(x-3)})^{2},\at\:x=4
derivada de a(e^x+e^xx)	\frac{d}{dx}(a(e^{x}+e^{x}x))
límite cuando h tiende a 0 de hsin(1/h)	\lim\:_{h\to\:0}(h\sin(\frac{1}{h}))
integral de 1/6 x^2	\int\:\frac{1}{6}x^{2}dx
integral de 0 a 4 de 8e^{-3x}	\int\:_{0}^{4}8e^{-3x}dx
tangent f(x)=x^3-x+1,\at x=3	tangent\:f(x)=x^{3}-x+1,\at\:x=3
integral de 1 a 7 de 2/(x^3)	\int\:_{1}^{7}\frac{2}{x^{3}}dx
derivative tan(x/2)	derivative\:\tan(\frac{x}{2})
maclaurin sin(3x)	maclaurin\:\sin(3x)
integral de (cos^4(x))	\int\:(\cos^{4}(x))dx
integral de 0 a 4.5 de 130x	\int\:_{0}^{4.5}130xdx
integral de pi a 2pi de sin^2(x)	\int\:_{π}^{2π}\sin^{2}(x)dx
derivada de (sin(2x)/(e^x))	\frac{d}{dx}(\frac{\sin(2x)}{e^{x}})
(\partial)/(\partial y)(2x^{1/2}y^{1/4}+7)	\frac{\partial\:}{\partial\:y}(2x^{\frac{1}{2}}y^{\frac{1}{4}}+7)
integral de (7x^2+x+7)/((x^2+1)^2)	\int\:\frac{7x^{2}+x+7}{(x^{2}+1)^{2}}dx
(\partial)/(\partial y)(x^2ln(xy))	\frac{\partial\:}{\partial\:y}(x^{2}\ln(xy))
tangent f(x)=4x-3sqrt(x),(4,10)	tangent\:f(x)=4x-3\sqrt{x},(4,10)
derivada de e^{x+ln(x})	\frac{d}{dx}(e^{x+\ln(x)})
límite cuando x tiende a infinity de (-2)^x	\lim\:_{x\to\:\infty\:}((-2)^{x})
(\partial)/(\partial x)(2pixy+pix^2)	\frac{\partial\:}{\partial\:x}(2πxy+πx^{2})
(\partial)/(\partial x)(e^{-3x})	\frac{\partial\:}{\partial\:x}(e^{-3x})
cos(y)+(1+e^{-x})sin(y)(dy)/(dx)=0	\cos(y)+(1+e^{-x})\sin(y)\frac{dy}{dx}=0
integral de 1/(5x+4)	\int\:\frac{1}{5x+4}dx
límite cuando x tiende a 0 de (cos(4x)-cos(2x))/(x^2)	\lim\:_{x\to\:0}(\frac{\cos(4x)-\cos(2x)}{x^{2}})
derivada de (1-x^2/((x^2+1)^2))	\frac{d}{dx}(\frac{1-x^{2}}{(x^{2}+1)^{2}})
integral de ((11)/x+x/(11))	\int\:(\frac{11}{x}+\frac{x}{11})dx
y^{''}-14y^'+53y=0	y^{\prime\:\prime\:}-14y^{\prime\:}+53y=0
integral de 20cos(10t+pi/6)+2	\int\:20\cos(10t+\frac{π}{6})+2dt
integral de (cos(3x))/(sqrt(sin(3x)))	\int\:\frac{\cos(3x)}{\sqrt{\sin(3x)}}dx
derivative f(x)=-6x	derivative\:f(x)=-6x
derivada de 6(x^2+4^8)	\frac{d}{dx}(6(x^{2}+4)^{8})
derivada de (pix/3)	\frac{d}{dx}(\frac{πx}{3})
tangent f(x)=x^2-7x+7,(0,7)	tangent\:f(x)=x^{2}-7x+7,(0,7)
límite cuando x tiende a 1+de 4x-2x^2	\lim\:_{x\to\:1+}(4x-2x^{2})

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