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Problemas populares

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Problemas populares de Cálculo

derivative f(x)=(ln(x))^2	derivative\:f(x)=(\ln(x))^{2}
f(x)=-tan^2(x)	f(x)=-\tan^{2}(x)
y^{''}-4y=e^{2t}	y^{\prime\:\prime\:}-4y=e^{2t}
derivative 3x^2ln(7x)	derivative\:3x^{2}\ln(7x)
xy^'+2y=x+2	xy^{\prime\:}+2y=x+2
integral de 1/(tan^2(θ))sec^2(θ)	\int\:\frac{1}{\tan^{2}(θ)}\sec^{2}(θ)dθ
área 25-x^2,x^2-25,-5,5	area\:25-x^{2},x^{2}-25,-5,5
integral de sec^2(x/a)	\int\:\sec^{2}(\frac{x}{a})dx
integral de 1/2 a 3 de 8xln(2x)	\int\:_{\frac{1}{2}}^{3}8x\ln(2x)dx
r(dy)/(dr)=y^2+1	r\frac{dy}{dr}=y^{2}+1
límite cuando t tiende a 0 de ((tan(t)sec(2t)))/(3t)	\lim\:_{t\to\:0}(\frac{(\tan(t)\sec(2t))}{3t})
(\partial)/(\partial y)(xe^{xy}-2y+1)	\frac{\partial\:}{\partial\:y}(xe^{xy}-2y+1)
tangent ln(x)	tangent\:\ln(x)
d/(d{x)}(({x}^2+{y}^2+{z}^2)^{1/2})	\frac{d}{d{x}}(({x}^{2}+{y}^{2}+{z}^{2})^{\frac{1}{2}})
derivada de 6ln(sec(x+tan(x)))	\frac{d}{dx}(6\ln(\sec(x)+\tan(x)))
derivative cos^3(x)	derivative\:\cos^{3}(x)
inversalaplace 1/(s^2(s^2+9))	inverselaplace\:\frac{1}{s^{2}(s^{2}+9)}
y^'-6/x y=(y^4)/(x^{15)}	y^{\prime\:}-\frac{6}{x}y=\frac{y^{4}}{x^{15}}
límite cuando x tiende a 1 de x^{9/(1-x)}	\lim\:_{x\to\:1}(x^{\frac{9}{1-x}})
derivative-6sin(t)	derivative\:-6\sin(t)
integral de 1/(vln(v)-v)	\int\:\frac{1}{v\ln(v)-v}dv
derivative ln(e^x+x)	derivative\:\ln(e^{x}+x)
derivative sqrt(x+6)	derivative\:\sqrt{x+6}
derivada de (sqrt(x^2-3x-4)/x)	\frac{d}{dx}(\frac{\sqrt{x^{2}-3x-4}}{x})
4xy^'+y=20x	4xy^{\prime\:}+y=20x
integral de sec^4(3x)tan(3x)	\int\:\sec^{4}(3x)\tan(3x)dx
integral de ((x^2-2x+5))/(x^2)	\int\:\frac{(x^{2}-2x+5)}{x^{2}}dx
límite cuando x tiende a 0 de (ex-1)/x	\lim\:_{x\to\:0}(\frac{ex-1}{x})
derivative f(x)=4(4t-1)^2	derivative\:f(x)=4(4t-1)^{2}
integral de-infinity a 0 de xe^{-7x}	\int\:_{-\infty\:}^{0}xe^{-7x}dx
f(x)=2xln(x)	f(x)=2x\ln(x)
derivative-2xsin(x^2)	derivative\:-2x\sin(x^{2})
límite cuando x tiende a 15+de 15sqrt(x-15)	\lim\:_{x\to\:15+}(15\sqrt{x-15})
integral de sin(x)*cos(2x)	\int\:\sin(x)\cdot\:\cos(2x)dx
d/(d{x)}(arcsin^4({x}^7{y}^2+({z})/({x)^3}))	\frac{d}{d{x}}(\arcsin^{4}({x}^{7}{y}^{2}+\frac{{z}}{{x}^{3}}))
f^{''}(x)=x^3	f^{\prime\:\prime\:}(x)=x^{3}
derivative f(x)=3e^xcos(x)	derivative\:f(x)=3e^{x}\cos(x)
f(t)=e^{t^2}	f(t)=e^{t^{2}}
integral de x/(sqrt(y+x^2))	\int\:\frac{x}{\sqrt{y+x^{2}}}dx
7sqrt(xy)(dy)/(dx)=4	7\sqrt{xy}\frac{dy}{dx}=4
integral de (2x+1)/(x-1)	\int\:\frac{2x+1}{x-1}dx
laplacetransformación sin(2t+5)	laplacetransform\:\sin(2t+5)
integral de (ln^2(x))/(x^{5/3)}	\int\:\frac{\ln^{2}(x)}{x^{\frac{5}{3}}}dx
límite cuando x tiende a infinity de \|1\|	\lim\:_{x\to\:\infty\:}(\left\|1\right\|)
integral de 0 a t de e^u	\int\:_{0}^{t}e^{u}du
límite cuando x tiende a infinity de 4^x	\lim\:_{x\to\:\infty\:}(4^{x})
integral de-1 a 2 de (7-3x)	\int\:_{-1}^{2}(7-3x)dx
x(1+y^2)^{1/2}dx=y(1+x^2)^{1/2}dy	x(1+y^{2})^{\frac{1}{2}}dx=y(1+x^{2})^{\frac{1}{2}}dy
(dy)/(dx)+(3/x)y=-x-5	\frac{dy}{dx}+(\frac{3}{x})y=-x-5
límite cuando x tiende a 0 de (sin(1))/1	\lim\:_{x\to\:0}(\frac{\sin(1)}{1})
2(dy)/(dx)+y/x =x^2y^{-1}	2\frac{dy}{dx}+\frac{y}{x}=x^{2}y^{-1}
(\partial)/(\partial h)(m/(h^2))	\frac{\partial\:}{\partial\:h}(\frac{m}{h^{2}})
tangent 9x+2x^2	tangent\:9x+2x^{2}
derivada de x^{-12}	\frac{d}{dx}(x^{-12})
límite cuando x tiende a 2 de x^2-4x	\lim\:_{x\to\:2}(x^{2}-4x)
y(2y^2-3x^2)dx+(2x^3)dy=0	y(2y^{2}-3x^{2})dx+(2x^{3})dy=0
límite cuando x tiende a-1+de 1/(1+x)	\lim\:_{x\to\:-1+}(\frac{1}{1+x})
integral de (-3x^4+6x^3-5x^2)	\int\:(-3x^{4}+6x^{3}-5x^{2})dx
derivada de 1/8 x-ln(2x)	\frac{d}{dx}(\frac{1}{8}x-\ln(2x))
derivative f(x)=5sqrt(x)ln(x)	derivative\:f(x)=5\sqrt{x}\ln(x)
derivada de-3x^5+5x^3	\frac{d}{dx}(-3x^{5}+5x^{3})
integral de 6/(\sqrt[3]{x)}	\int\:\frac{6}{\sqrt[3]{x}}dx
derivative y=t^3-2t+4	derivative\:y=t^{3}-2t+4
derivative (x^3)/3+(x^2)/2-6x+5	derivative\:\frac{x^{3}}{3}+\frac{x^{2}}{2}-6x+5
límite cuando x tiende a 0 de ((2+x)^2+4)/x	\lim\:_{x\to\:0}(\frac{(2+x)^{2}+4}{x})
derivative 1/(x(5+ln(x)))	derivative\:\frac{1}{x(5+\ln(x))}
(dy)/(dx)=2e^{(x-y)}	\frac{dy}{dx}=2e^{(x-y)}
derivada de ae^{-x}+bxe^{-x}	\frac{d}{dx}(ae^{-x}+bxe^{-x})
tangent x^2+2xy+4y^2=12,(2,1)	tangent\:x^{2}+2xy+4y^{2}=12,(2,1)
integral de (-x^2+6)^2-(x^2+4x)^2	\int\:(-x^{2}+6)^{2}-(x^{2}+4x)^{2}dx
tangent 2x^3	tangent\:2x^{3}
derivative-27	derivative\:-27
inversalaplace 1/(s(s^2+16))	inverselaplace\:\frac{1}{s(s^{2}+16)}
d/(ds)(1/(s^2+1))	\frac{d}{ds}(\frac{1}{s^{2}+1})
derivative 4x^3e^{-x}	derivative\:4x^{3}e^{-x}
integral de cos^3(x/5)	\int\:\cos^{3}(\frac{x}{5})dx
tangent f(x)=(x^3-16x)^{14},(4,0)	tangent\:f(x)=(x^{3}-16x)^{14},(4,0)
límite cuando x tiende a 8 de 5	\lim\:_{x\to\:8}(5)
integral de e^{-y}	\int\:e^{-y}dy
tangent 8x-x^2,\at x=1	tangent\:8x-x^{2},\at\:x=1
2y^'+y=0	2y^{\prime\:}+y=0
integral de-1 a 1 de t^2-2	\int\:_{-1}^{1}t^{2}-2dt
integral de 1/2 (2cos(θ))^2	\int\:\frac{1}{2}(2\cos(θ))^{2}dθ
integral de 200-x	\int\:200-xdx
integral de 0 a 6 de 2x-(x^2-4x)	\int\:_{0}^{6}2x-(x^{2}-4x)dx
límite cuando x tiende a 0+de x^2	\lim\:_{x\to\:0+}(x^{2})
(\partial)/(\partial x)(x^2-10y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-10y^{2})
límite cuando x tiende a 0 de 2^x-5^x	\lim\:_{x\to\:0}(2^{x}-5^{x})
derivative (9x^6+8x^3)^4	derivative\:(9x^{6}+8x^{3})^{4}
y^'+7y=1	y^{\prime\:}+7y=1
integral de 1/(r^3)	\int\:\frac{1}{r^{3}}dr
integral de 0 a 0.08 de 120x	\int\:_{0}^{0.08}120xdx
integral de 1/((x^2+16)^{5/2)}	\int\:\frac{1}{(x^{2}+16)^{\frac{5}{2}}}dx
integral de e^x(x+a+1)	\int\:e^{x}(x+a+1)dx
integral de 6x^2sin(3x)	\int\:6x^{2}\sin(3x)dx
serie de n=1 a infinity de 2-7/(8^n)	\sum\:_{n=1}^{\infty\:}2-\frac{7}{8^{n}}
integral de 3^{x+1}	\int\:3^{x+1}dx
límite cuando h tiende a 0 de 1/h	\lim\:_{h\to\:0}(\frac{1}{h})
9x((dy)/(dx))=2xe^x-9y+6x^2	9x(\frac{dy}{dx})=2xe^{x}-9y+6x^{2}
integral de 1/(sqrt(1+e^{4x))}	\int\:\frac{1}{\sqrt{1+e^{4x}}}dx

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