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Problemas populares

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Problemas populares de Cálculo

integral de (ln(ln(x)))/(xln(x))	\int\:\frac{\ln(\ln(x))}{x\ln(x)}dx
derivative 6/(4x+1)	derivative\:\frac{6}{4x+1}
longdivision (x^2-5x)/(x+1)	longdivision\:\frac{x^{2}-5x}{x+1}
laplacetransformación (t-2)^3(t-2)	laplacetransform\:(t-2)^{3}(t-2)
y^'=((x^3-2y))/x	y^{\prime\:}=\frac{(x^{3}-2y)}{x}
derivada de 6sin(2x-3cos(3x))	\frac{d}{dx}(6\sin(2x)-3\cos(3x))
derivada de-536870912sin(2x)	\frac{d}{dx}(-536870912\sin(2x))
derivative f(x)=sqrt(10+x)	derivative\:f(x)=\sqrt{10+x}
tangent f(x)=9+5x^2-2x^3,(1,12)	tangent\:f(x)=9+5x^{2}-2x^{3},(1,12)
tangent f(x)=x^3-3x^2+2x-2	tangent\:f(x)=x^{3}-3x^{2}+2x-2
integral de 2 a 9 de 4/(8x-9)	\int\:_{2}^{9}\frac{4}{8x-9}dx
integral de 1 a 4 de (2x-2sqrt(x))	\int\:_{1}^{4}(2x-2\sqrt{x})dx
tangent f(x)=7+4x^2-2x^3,(1,9)	tangent\:f(x)=7+4x^{2}-2x^{3},(1,9)
integral de (2x)/(sqrt(-5-6x^2-x^4))	\int\:\frac{2x}{\sqrt{-5-6x^{2}-x^{4}}}dx
derivative (7x)/(8-tan(x))	derivative\:\frac{7x}{8-\tan(x)}
integral de (4x^2+x+4)/((x^2+1)^2)	\int\:\frac{4x^{2}+x+4}{(x^{2}+1)^{2}}dx
integral de a a b de (1/(x^3)+3x)	\int\:_{a}^{b}(\frac{1}{x^{3}}+3x)dx
integral de-1/(1+sin(x))	\int\:-\frac{1}{1+\sin(x)}dx
xy^'-2y=x^4-4	xy^{\prime\:}-2y=x^{4}-4
((3y^2-t^2))/((y^5))*y^'+t/((2y^4))=0,y(1)=3	\frac{(3y^{2}-t^{2})}{(y^{5})}\cdot\:y^{\prime\:}+\frac{t}{(2y^{4})}=0,y(1)=3
derivative (e^x-1)/x	derivative\:\frac{e^{x}-1}{x}
integral de 1/(1-sin(θ)+cos(θ))	\int\:\frac{1}{1-\sin(θ)+\cos(θ)}dθ
integral de 3e^{4t}	\int\:3e^{4t}dt
integral de (4+8xsin(x))/(2x)	\int\:\frac{4+8x\sin(x)}{2x}dx
integral de tan^8(x)cos^9(x)	\int\:\tan^{8}(x)\cos^{9}(x)dx
derivative y=10^x	derivative\:y=10^{x}
(1/3)((dx)/(dt))-2e^{-t}=-x	(\frac{1}{3})(\frac{dx}{dt})-2e^{-t}=-x
integral de 0 a 1 de x(1-sqrt(x))^2	\int\:_{0}^{1}x(1-\sqrt{x})^{2}dx
límite cuando x tiende a 0 de x(1/x)	\lim\:_{x\to\:0}(x(\frac{1}{x}))
límite cuando x tiende a 8 de 6/(x-8)	\lim\:_{x\to\:8}(\frac{6}{x-8})
derivada de (e^x+x^{1/x})	\frac{d}{dx}((e^{x}+x)^{\frac{1}{x}})
(\partial)/(\partial x)(x^9y^6-x^8y^5)	\frac{\partial\:}{\partial\:x}(x^{9}y^{6}-x^{8}y^{5})
derivada de sqrt(e^x+18)	\frac{d}{dx}(\sqrt{e^{x}+18})
integral de-16tan(x)cos(x)	\int\:-16\tan(x)\cos(x)dx
límite cuando x tiende a 0 de (1/(1-x)+1)/x	\lim\:_{x\to\:0}(\frac{\frac{1}{1-x}+1}{x})
x^{''}+9/4 x^'+9/64 x=0,x^'(0)=1,x(0)=2	x^{\prime\:\prime\:}+\frac{9}{4}x^{\prime\:}+\frac{9}{64}x=0,x^{\prime\:}(0)=1,x(0)=2
integral de sec^3(x)	\int\:\sec^{3}(x)dx
serie de n=0 a infinity de 1/(n^{0.51)}	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{0.51}}
f(x)=8sqrt(x)+9\sqrt[3]{x^2}+4sqrt(x^3)	f(x)=8\sqrt{x}+9\sqrt[3]{x^{2}}+4\sqrt{x^{3}}
(dv)/(dt)=10-2v	\frac{dv}{dt}=10-2v
y^{''}-2y=9xe^{-x}	y^{\prime\:\prime\:}-2y=9xe^{-x}
integral de (1/(x-1))	\int\:(\frac{1}{x-1})dx
límite cuando y tiende a 1/2 de (15y^2-6)^4	\lim\:_{y\to\:\frac{1}{2}}((15y^{2}-6)^{4})
integral de ((sqrt(x)+1))/(\sqrt[4]{x)}	\int\:\frac{(\sqrt{x}+1)}{\sqrt[4]{x}}dx
integral de-3/2 x	\int\:-\frac{3}{2}xdx
integral de (10)/((4x^3-4x^2+8x))	\int\:\frac{10}{(4x^{3}-4x^{2}+8x)}dx
derivada de \|sin(6x\|)	\frac{d}{dx}(\left\|\sin(6x)\right\|)
derivada de (2x-1sqrt(3-4x))	\frac{d}{dx}((2x-1)\sqrt{3-4x})
inversalaplace s^2	inverselaplace\:s^{2}
integral de 1/x+sqrt(x)	\int\:\frac{1}{x}+\sqrt{x}dx
(dy)/(dx)=2xy+3x^2e^{x^2}	\frac{dy}{dx}=2xy+3x^{2}e^{x^{2}}
d/(da)(cos(a)tan(a))	\frac{d}{da}(\cos(a)\tan(a))
límite cuando x tiende a 1 de 2x-3	\lim\:_{x\to\:1}(2x-3)
integral de 4/(x^2sqrt(x^2+4))	\int\:\frac{4}{x^{2}\sqrt{x^{2}+4}}dx
2y(dy)/(dx)+8x=6	2y\frac{dy}{dx}+8x=6
derivative ln(2/3 x)	derivative\:\ln(\frac{2}{3}x)
derivada de 20x^2+(180/x)	\frac{d}{dx}(20x^{2}+\frac{180}{x})
(y-x)(dy)/(dx)=1	(y-x)\frac{dy}{dx}=1
(dy)/(dθ)=4y^2sec^2(2θ)	\frac{dy}{dθ}=4y^{2}\sec^{2}(2θ)
derivada de log_{11}(x)	\frac{d}{dx}(\log_{11}(x))
integral de (3x^2)/((x^2+1)(x+1))	\int\:\frac{3x^{2}}{(x^{2}+1)(x+1)}dx
(dy)/(dx)=e^{3.1x-3y}	\frac{dy}{dx}=e^{3.1x-3y}
(\partial)/(\partial x)(x^4sin(2t))	\frac{\partial\:}{\partial\:x}(x^{4}\sin(2t))
derivative sin(x)+4/3 cot(x)	derivative\:\sin(x)+\frac{4}{3}\cot(x)
integral de 1/(x^2-7x+12)	\int\:\frac{1}{x^{2}-7x+12}dx
xy^2(dy)/(dx)=y^3-3x^3,y(1)=5	xy^{2}\frac{dy}{dx}=y^{3}-3x^{3},y(1)=5
y^'=0.1*y-250000	y^{\prime\:}=0.1\cdot\:y-250000
derivative f(x)=3cos^2(x)	derivative\:f(x)=3\cos^{2}(x)
integral de 5cos(pix-3)	\int\:5\cos(πx-3)dx
derivative (4x)/(sqrt(x^2+2))	derivative\:\frac{4x}{\sqrt{x^{2}+2}}
(\partial)/(\partial x)(x(10-x-y))	\frac{\partial\:}{\partial\:x}(x(10-x-y))
(d^2y)/(dx^2)-4(dy)/(dx)=12cos(2x)	\frac{d^{2}y}{dx^{2}}-4\frac{dy}{dx}=12\cos(2x)
integral de (6-6x)/(1-sqrt(x))	\int\:\frac{6-6x}{1-\sqrt{x}}dx
tangent y=3x^2+1,(0,-1)	tangent\:y=3x^{2}+1,(0,-1)
y^{''}-7y^'+6y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-7y^{\prime\:}+6y=0,y(0)=0,y^{\prime\:}(0)=0
derivada de 1/8 xsqrt(64-x^2)	\frac{d}{dx}(\frac{1}{8}x\sqrt{64-x^{2}})
pendienteintercept (5,-4),(4,7)	slopeintercept\:(5,-4),(4,7)
integral de 7/(xsqrt(36-49ln^2(x)))	\int\:\frac{7}{x\sqrt{36-49\ln^{2}(x)}}dx
derivada de xsin(x+cos(x))	\frac{d}{dx}(x\sin(x)+\cos(x))
integral de sqrt(1-cos(t))	\int\:\sqrt{1-\cos(t)}dt
integral de sqrt(13+12x-x^2)	\int\:\sqrt{13+12x-x^{2}}dx
integral de (x+1)/(-x^2-1)	\int\:\frac{x+1}{-x^{2}-1}dx
y^'=2y+x^2+7	y^{\prime\:}=2y+x^{2}+7
(d^2)/(dx^2)(e^{3x})	\frac{d^{2}}{dx^{2}}(e^{3x})
inversalaplace 1/(s^2+8)(-40/33)	inverselaplace\:\frac{1}{s^{2}+8}(-\frac{40}{33})
derivada de-0.025x^2+9x	\frac{d}{dx}(-0.025x^{2}+9x)
tangent 7/(2sqrt(7x+2)),\at a=2	tangent\:\frac{7}{2\sqrt{7x+2}},\at\:a=2
integral de xcsc^2(x)	\int\:x\csc^{2}(x)dx
(x+2y^2)dx+(xy)dy=0	(x+2y^{2})dx+(xy)dy=0
integral de (x+20)sqrt(40x+x^2)	\int\:(x+20)\sqrt{40x+x^{2}}dx
integral de cos((2pinx)/L)	\int\:\cos(\frac{2πnx}{L})dx
integral de 1/(5x-1)	\int\:\frac{1}{5x-1}dx
límite cuando x tiende a infinity+de (1+2x)^{1/(2ln(x))}	\lim\:_{x\to\:\infty\:+}((1+2x)^{\frac{1}{2\ln(x)}})
integral de (e^{arctan(y)})/(1+y^2)	\int\:\frac{e^{\arctan(y)}}{1+y^{2}}dy
integral de xarccos(x)	\int\:x\arccos(x)dx
integral de (e^{2x}cos(3x))	\int\:(e^{2x}\cos(3x))dx
tangent 3x^2-6x+5	tangent\:3x^{2}-6x+5
integral de (cos(x))/(1+2sin(x))	\int\:\frac{\cos(x)}{1+2\sin(x)}dx
derivada de e^{ln(x^2})	\frac{d}{dx}(e^{\ln(x^{2})})
límite cuando x tiende a 0 de 1/(x^3)	\lim\:_{x\to\:0}(\frac{1}{x^{3}})

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