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Problemas populares

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Problemas populares de Cálculo

integral de-1/3 e^{3x}	\int\:-\frac{1}{3}e^{3x}dx
integral de 2ysin(y)	\int\:2y\sin(y)dy
integral de 0 a pi de 3sin^2(x)	\int\:_{0}^{π}3\sin^{2}(x)dx
laplacetransformación 0.5	laplacetransform\:0.5
integral de 0 a 1 de (e^x+e^{-x})	\int\:_{0}^{1}(e^{x}+e^{-x})dx
derivada de 100(5.6^x)	\frac{d}{dx}(100(5.6)^{x})
derivative f(x)= 7/(x+4)	derivative\:f(x)=\frac{7}{x+4}
integral de 1.1t+6.3t^3	\int\:1.1t+6.3t^{3}dt
derivative s(t)=48(6t^3-5)^{6/5}	derivative\:s(t)=48(6t^{3}-5)^{\frac{6}{5}}
derivative e^x(5x^2-10x+10)	derivative\:e^{x}(5x^{2}-10x+10)
derivada de arcsin(sqrt(sin(17x)))	\frac{d}{dx}(\arcsin(\sqrt{\sin(17x)}))
integral de x/(x+60)	\int\:\frac{x}{x+60}dx
integral de-64 a 1 de 1/(\sqrt[3]{x)}	\int\:_{-64}^{1}\frac{1}{\sqrt[3]{x}}dx
(3-x)(dy)/(dx)=y	(3-x)\frac{dy}{dx}=y
integral de ((t^2-8t+1)/((2t)^4))	\int\:(\frac{t^{2}-8t+1}{(2t)^{4}})dt
tangent f(x)=-3x^2+2,\at x=1	tangent\:f(x)=-3x^{2}+2,\at\:x=1
f(x)=(4x^3)/(5-2x)	f(x)=\frac{4x^{3}}{5-2x}
límite cuando x tiende a 6+de 4/(x-6)	\lim\:_{x\to\:6+}(\frac{4}{x-6})
derivative f(x)=(3x^6+4x^3)^4	derivative\:f(x)=(3x^{6}+4x^{3})^{4}
integral de 1/(sqrt(u))	\int\:\frac{1}{\sqrt{u}}du
(\partial)/(\partial x)(e^{2xyz-7})	\frac{\partial\:}{\partial\:x}(e^{2xyz-7})
integral de cos^3(3x)sin(3x)	\int\:\cos^{3}(3x)\sin(3x)dx
derivative x^{-5/4}	derivative\:x^{-\frac{5}{4}}
integral de 1/(xsqrt(9x^2-9))	\int\:\frac{1}{x\sqrt{9x^{2}-9}}dx
integral de x^3sqrt(1+36x^2)	\int\:x^{3}\sqrt{1+36x^{2}}dx
integral de (e^{-x/5}+5x^4)	\int\:(e^{-\frac{x}{5}}+5x^{4})dx
derivative h(t)=(t+4)^{2/3}(2t^2-4)^3	derivative\:h(t)=(t+4)^{\frac{2}{3}}(2t^{2}-4)^{3}
límite cuando x tiende a 7 de sec((pix)/6)	\lim\:_{x\to\:7}(\sec(\frac{πx}{6}))
(dy)/(dx)=7x+y	\frac{dy}{dx}=7x+y
derivative sqrt(x)-sqrt(x^3)	derivative\:\sqrt{x}-\sqrt{x^{3}}
integral de 1/(x^2-64)	\int\:\frac{1}{x^{2}-64}dx
límite cuando x tiende a 1-de 7/(x^3-1)	\lim\:_{x\to\:1-}(\frac{7}{x^{3}-1})
límite cuando x tiende a 9 de 5	\lim\:_{x\to\:9}(5)
pendiente (-2,8),(-6,0)	slope\:(-2,8),(-6,0)
f(x)=e^{x^3}	f(x)=e^{x^{3}}
inversalaplace 1/(s(5s+3))	inverselaplace\:\frac{1}{s(5s+3)}
(dy)/(dx)+xy=x^3	\frac{dy}{dx}+xy=x^{3}
integral de x^{1/2}(sqrt(x)-3)^2	\int\:x^{\frac{1}{2}}(\sqrt{x}-3)^{2}dx
y^{''''}+10y^{''}+9y=0	y^{\prime\:\prime\:\prime\:\prime\:}+10y^{\prime\:\prime\:}+9y=0
límite cuando t tiende a 0 de 3t+3	\lim\:_{t\to\:0}(3t+3)
derivative (sqrt(x)-2)/(x-4)	derivative\:\frac{\sqrt{x}-2}{x-4}
integral de e^xcos^2(e^x)	\int\:e^{x}\cos^{2}(e^{x})dx
derivative f(x)=x(1-x)^4	derivative\:f(x)=x(1-x)^{4}
integral de (3u-4)/5	\int\:\frac{3u-4}{5}du
integral de (x^{2/3}+6)	\int\:(x^{\frac{2}{3}}+6)dx
límite cuando Δx tiende a 0 de 0/(Δx^2)	\lim\:_{Δx\to\:0}(\frac{0}{Δx^{2}})
límite cuando n tiende a infinity de x^n	\lim\:_{n\to\:\infty\:}(x^{n})
integral de 37sec^{-2}(xta)n^3x	\int\:37\sec^{-2}(xta)n^{3}xdx
integral de t/((t^2+1)^{21/2)}	\int\:\frac{t}{(t^{2}+1)^{\frac{21}{2}}}dt
y^'+2y=0,y(0)=0	y^{\prime\:}+2y=0,y(0)=0
área y=5x^2,y=x^2+2	area\:y=5x^{2},y=x^{2}+2
límite cuando x tiende a 0 de xe^{-1/(x^2)}	\lim\:_{x\to\:0}(xe^{-\frac{1}{x^{2}}})
derivada de ln(3x^3+4x^2+x+4)	\frac{d}{dx}(\ln(3x^{3}+4x^{2}+x+4))
d/(dt)((e^{2t})/(1-t^2))	\frac{d}{dt}(\frac{e^{2t}}{1-t^{2}})
derivada de x/(x^{-1+3})	\frac{d}{dx}(\frac{x}{x^{-1}+3})
derivada de cos((sqrt(3)/2 x))	\frac{d}{dx}(\cos(\frac{\sqrt{3}}{2}x))
serie de n=1 a infinity}(16^{n/2 de)/(2^{2n)}	\sum\:_{n=1}^{\infty\:}\frac{16^{\frac{n}{2}}}{2^{2n}}
integral de 1/(e^{-y)}	\int\:\frac{1}{e^{-y}}dy
dy=2x(y^2+9)dx	dy=2x(y^{2}+9)dx
integral de 0.6x	\int\:0.6xdx
límite cuando x tiende a infinity de 4/7	\lim\:_{x\to\:\infty\:}(\frac{4}{7})
derivative f(x)=x^2e^{2x}	derivative\:f(x)=x^{2}e^{2x}
f(x)= 3/(x+2)	f(x)=\frac{3}{x+2}
(dy)/(dt)=9ty^2	\frac{dy}{dt}=9ty^{2}
integral de (x+4)/(sqrt(x+1))	\int\:\frac{x+4}{\sqrt{x+1}}dx
integral de (1/(x(1+ln(x))))	\int\:(\frac{1}{x(1+\ln(x))})dx
derivada de e^{-x}cos(x)	\frac{d}{dx}(e^{-x}\cos(x))
integral de 0 a 2 de xsqrt(x^2+2)	\int\:_{0}^{2}x\sqrt{x^{2}+2}dx
integral de 0 a 4 de (2x+5)	\int\:_{0}^{4}(2x+5)dx
derivative x^2f(x)	derivative\:x^{2}f(x)
integral de 1/(-\frac{1){x^2}+2x}-3	\int\:\frac{1}{-\frac{1}{x^{2}}+2x}-3dx
inversalaplace 1/((s^2+4)^2*s)	inverselaplace\:\frac{1}{(s^{2}+4)^{2}\cdot\:s}
tangent f(x)=x^3ln(2x),\at x=5	tangent\:f(x)=x^{3}\ln(2x),\at\:x=5
límite cuando x tiende a 1 de 1-(x-1)^2	\lim\:_{x\to\:1}(1-(x-1)^{2})
(\partial)/(\partial y)(e^{3x}tan(y))	\frac{\partial\:}{\partial\:y}(e^{3x}\tan(y))
integral de e^xcos(2x)	\int\:e^{x}\cos(2x)dx
(dy)/(dx)=ky^2ln(x),y(1)=-5	\frac{dy}{dx}=ky^{2}\ln(x),y(1)=-5
(x^3-y^3)dx+xy^2dy=0	(x^{3}-y^{3})dx+xy^{2}dy=0
derivative sin(8x)+sin^2(8x)	derivative\:\sin(8x)+\sin^{2}(8x)
derivative sqrt(3)	derivative\:\sqrt{3}
derivada de 6xcos(x)	\frac{d}{dx}(6x\cos(x))
integral de 5x^3e^{3x}	\int\:5x^{3}e^{3x}dx
derivative sin^4(sqrt(x))	derivative\:\sin^{4}(\sqrt{x})
inversalaplace 1/(s^2(s+sqrt(2)))	inverselaplace\:\frac{1}{s^{2}(s+\sqrt{2})}
integral de 0 a 7 de 9800pi(7-y)	\int\:_{0}^{7}9800π(7-y)dy
tangent y= 1/((1+x^2),(-1, 1/2))	tangent\:y=\frac{1}{(1+x^{2}),(-1,\frac{1}{2})}
integral de (xe^{2x})	\int\:(xe^{2x})dx
(d^2y)/(dx^2)+6(dy)/(dx)+5y=0	\frac{d^{2}y}{dx^{2}}+6\frac{dy}{dx}+5y=0
integral de (x^2+18x-9)/(x^3-9x)	\int\:\frac{x^{2}+18x-9}{x^{3}-9x}dx
área y=x(x+1)^2,y=0	area\:y=x(x+1)^{2},y=0
integral de 0 a pi/(12) de cos(4x)	\int\:_{0}^{\frac{π}{12}}\cos(4x)dx
derivative f(x)=sqrt(sin^3(18x))	derivative\:f(x)=\sqrt{\sin^{3}(18x)}
límite cuando x tiende a 3 de x^2-7	\lim\:_{x\to\:3}(x^{2}-7)
límite cuando x tiende a+0+de 0/x	\lim\:_{x\to\:+0+}(\frac{0}{x})
límite cuando x tiende a 3 de cos(x)	\lim\:_{x\to\:3}(\cos(x))
taylor f(x)=sqrt(1+x^2)	taylor\:f(x)=\sqrt{1+x^{2}}
(\partial)/(\partial x)(xy((8-xy)/(x+y)))	\frac{\partial\:}{\partial\:x}(xy(\frac{8-xy}{x+y}))
integral de 0 a pi/7 de cos(4x)	\int\:_{0}^{\frac{π}{7}}\cos(4x)dx
integral de sqrt(x^2+1)	\int\:\sqrt{x^{2}+1}dx
derivada de e^{2x-x^2}	\frac{d}{dx}(e^{2x-x^{2}})

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