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Problemas populares

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Problemas populares de Cálculo

y^{''}+16y=4sec(4t)	y^{\prime\:\prime\:}+16y=4\sec(4t)
derivada de ln(2x^4-x^3+3x^2-3x)	\frac{d}{dx}(\ln(2x^{4}-x^{3}+3x^{2}-3x))
derivative f(x)=ln(1)	derivative\:f(x)=\ln(1)
integral de xe^{(3x)}	\int\:xe^{(3x)}dx
integral de (15)/(sqrt(4+5x))	\int\:\frac{15}{\sqrt{4+5x}}dx
integral de-3 a 4 de y-(y^2-12)	\int\:_{-3}^{4}y-(y^{2}-12)dy
pendienteintercept (-1,6),(7,-2)	slopeintercept\:(-1,6),(7,-2)
límite cuando x tiende a 2-de 2/(x^2-4)	\lim\:_{x\to\:2-}(\frac{2}{x^{2}-4})
implicit (dy)/(dx),x^3y^5+3x=8y^3+1	implicit\:\frac{dy}{dx},x^{3}y^{5}+3x=8y^{3}+1
integral de 0 a 1 de x/((2-x)^2)	\int\:_{0}^{1}\frac{x}{(2-x)^{2}}dx
(dy)/(dx)=x(y-1)	\frac{dy}{dx}=x(y-1)
derivada de 4sec(x+tan(x))	\frac{d}{dx}(4\sec(x)+\tan(x))
límite cuando x tiende a 0 de x/(e^{5x)-1}	\lim\:_{x\to\:0}(\frac{x}{e^{5x}-1})
derivada de xarctan(sqrt(x))	\frac{d}{dx}(x\arctan(\sqrt{x}))
integral de x^{7/3}	\int\:x^{\frac{7}{3}}dx
(\partial)/(\partial z)(x+2y+z)	\frac{\partial\:}{\partial\:z}(x+2y+z)
integral de 0 a 4 de sqrt(1+e^{-2y)}	\int\:_{0}^{4}\sqrt{1+e^{-2y}}dy
integral de (28s+28)/((s^2+1)(s-1)^3)	\int\:\frac{28s+28}{(s^{2}+1)(s-1)^{3}}ds
(\partial)/(\partial x)(3x+4y^2+3x^2y^3)	\frac{\partial\:}{\partial\:x}(3x+4y^{2}+3x^{2}y^{3})
integral de 1 a 3 de sqrt(u^2+b^2)	\int\:_{1}^{3}\sqrt{u^{2}+b^{2}}du
integral de x-2pi	\int\:x-2πdx
integral de-t^2e^{-t}	\int\:-t^{2}e^{-t}dt
(\partial)/(\partial x)(arctan(x^3y^2))	\frac{\partial\:}{\partial\:x}(\arctan(x^{3}y^{2}))
integral de (x) 3/4 x^2-4x+8	\int\:(x)\frac{3}{4}x^{2}-4x+8dx
integral de 3/(x^{2/3)}	\int\:\frac{3}{x^{\frac{2}{3}}}dx
(d^2)/(dx^2)(6/(7x^5))	\frac{d^{2}}{dx^{2}}(\frac{6}{7x^{5}})
(dy)/(dx)+3(tan(3x))y=-6cos(3x)	\frac{dy}{dx}+3(\tan(3x))y=-6\cos(3x)
derivada de (2x^3(4x^2))	\frac{d}{dx}((2x^{3})(4x^{2}))
pendienteintercept (0,5),(-1.5,1)	slopeintercept\:(0,5),(-1.5,1)
límite cuando x tiende a (0) de x^{x^2}	\lim\:_{x\to\:(0)}(x^{x^{2}})
2t(dy)/(dt)-4y=sqrt(t)	2t\frac{dy}{dt}-4y=\sqrt{t}
serie de n=1 a infinity de 1/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{4^{n}}
laplacetransformación (t^2-3t+2)sin(3t)	laplacetransform\:(t^{2}-3t+2)\sin(3t)
derivative y=sin(9x)+cos(2x)	derivative\:y=\sin(9x)+\cos(2x)
derivada de 3arcsin(x/2)	\frac{d}{dx}(3\arcsin(\frac{x}{2}))
integral de 2sin(3x)	\int\:2\sin(3x)dx
serie de n=0 a infinity de e^{(-5n)}	\sum\:_{n=0}^{\infty\:}e^{(-5n)}
y^{'''}-y^'=sin(x)	y^{\prime\:\prime\:\prime\:}-y^{\prime\:}=\sin(x)
(dy)/(dx)=((2x(y-1)))/(x^2+3)	\frac{dy}{dx}=\frac{(2x(y-1))}{x^{2}+3}
límite cuando x tiende a c de \sqrt[3]{8}	\lim\:_{x\to\:c}(\sqrt[3]{8})
integral de 1/(x^2sqrt(16+x^2))	\int\:\frac{1}{x^{2}\sqrt{16+x^{2}}}dx
integral de (sqrt(x))/(sqrt(x)-3)	\int\:\frac{\sqrt{x}}{\sqrt{x}-3}dx
integral de 1/(2x^4)	\int\:\frac{1}{2x^{4}}dx
integral de (8x+5)sqrt(4x^2+5x)	\int\:(8x+5)\sqrt{4x^{2}+5x}dx
taylor-1/(x^2),2	taylor\:-\frac{1}{x^{2}},2
derivative f(x)=xsqrt(x)\sqrt[3]{x}	derivative\:f(x)=x\sqrt{x}\sqrt[3]{x}
y^'=0	y^{\prime\:}=0
integral de x/6+pi	\int\:\frac{x}{6}+πdx
(sqrt((x^2-x^4)/8))^'	(\sqrt{\frac{x^{2}-x^{4}}{8}})^{\prime\:}
(\partial)/(\partial x)(aln(x))	\frac{\partial\:}{\partial\:x}(a\ln(x))
(\partial)/(\partial y)(2x+3y)	\frac{\partial\:}{\partial\:y}(2x+3y)
dt=(dy)/(9y-y^2-81/4)	dt=\frac{dy}{9y-y^{2}-\frac{81}{4}}
integral de (e^x)/((1-e^x)^2)	\int\:\frac{e^{x}}{(1-e^{x})^{2}}dx
integral de (6x+7)/((3x^2+7x)^3)	\int\:\frac{6x+7}{(3x^{2}+7x)^{3}}dx
inversalaplace (5s)/(12s^2+5s-2)	inverselaplace\:\frac{5s}{12s^{2}+5s-2}
(\partial)/(\partial z)(xsin(y)+ze^x)	\frac{\partial\:}{\partial\:z}(x\sin(y)+ze^{x})
integral de 2e^{-0.1x}	\int\:2e^{-0.1x}dx
inversalaplace 1/((s^2+2s+2)(s+1))	inverselaplace\:\frac{1}{(s^{2}+2s+2)(s+1)}
integral de 5sin(6pit)	\int\:5\sin(6πt)dt
integral de-1/(sqrt(2x+1))	\int\:-\frac{1}{\sqrt{2x+1}}dx
derivada de 2/(2x-1-1/x)	\frac{d}{dx}(\frac{2}{2x-1}-\frac{1}{x})
integral de (5x-3)/(x(x-3)(x+1))	\int\:\frac{5x-3}{x(x-3)(x+1)}dx
integral de xcos(7pix^2)	\int\:x\cos(7πx^{2})dx
-(y+t)=(dy)/(dt)	-(y+t)=\frac{dy}{dt}
integral de 3^{5x}	\int\:3^{5x}dx
3y^{''}+10y^'=0	3y^{\prime\:\prime\:}+10y^{\prime\:}=0
(dy)/(dx)=x^6y^{-3}	\frac{dy}{dx}=x^{6}y^{-3}
t^2(dy)/(dt)-t=1+y+ty,y(1)=5	t^{2}\frac{dy}{dt}-t=1+y+ty,y(1)=5
área y=0.01x^2-3x+229,y=429-2x,x=0	area\:y=0.01x^{2}-3x+229,y=429-2x,x=0
integral de 1/((1-sin(x)))	\int\:\frac{1}{(1-\sin(x))}dx
integral de 24arctan(sqrt(x))	\int\:24\arctan(\sqrt{x})dx
integral de sec^6(2x)tan(2x)	\int\:\sec^{6}(2x)\tan(2x)dx
cos(x)(dy)/(dx)-sin(x)y=0	\cos(x)\frac{dy}{dx}-\sin(x)y=0
(\partial)/(\partial x)((x-y)/(xy+2))	\frac{\partial\:}{\partial\:x}(\frac{x-y}{xy+2})
límite cuando x tiende a infinity de ln(1)	\lim\:_{x\to\:\infty\:}(\ln(1))
y^'=8xy-2x,y(0)=16	y^{\prime\:}=8xy-2x,y(0)=16
(\partial)/(\partial x)(cot(3^2)+5)	\frac{\partial\:}{\partial\:x}(\cot(3^{2})+5)
inversalaplace (s+1)/(s(s^2+s+1))	inverselaplace\:\frac{s+1}{s(s^{2}+s+1)}
integral de 1-e^x	\int\:1-e^{x}dx
límite cuando x tiende a pi de (x-pi)cot(x)	\lim\:_{x\to\:π}((x-π)\cot(x))
integral de 0 a 1 de 2x-3	\int\:_{0}^{1}2x-3dx
integral de sin^{2x}(x	\int\:\sin^{2x}(d)xdx
integral de 0 a 1 de sin(pix)	\int\:_{0}^{1}\sin(πx)dx
(\partial)/(\partial y)(xe^{x+2y})	\frac{\partial\:}{\partial\:y}(xe^{x+2y})
y^'=3x^2y+2xy	y^{\prime\:}=3x^{2}y+2xy
integral de 1 a 100 de 9/(x^3)	\int\:_{1}^{100}\frac{9}{x^{3}}dx
derivative f(x)=3x^2+32x+64	derivative\:f(x)=3x^{2}+32x+64
área 3x^3,[0,6]	area\:3x^{3},[0,6]
integral de sqrt(x)(x^2-3x-5)	\int\:\sqrt{x}(x^{2}-3x-5)dx
tangent f(x)=2^x	tangent\:f(x)=2^{x}
(\partial)/(\partial s)(rse^t)	\frac{\partial\:}{\partial\:s}(rse^{t})
integral de 3 a 8 de x^3-pix^2	\int\:_{3}^{8}x^{3}-πx^{2}dx
derivative g(x)= 5/(x^3)	derivative\:g(x)=\frac{5}{x^{3}}
derivada de (2x+1^5(3x-2)^7)	\frac{d}{dx}((2x+1)^{5}(3x-2)^{7})
derivada de e^{-3x}sin(pix-pi/8)	\frac{d}{dx}(e^{-3x}\sin(πx-\frac{π}{8}))
integral de (x+3)/(sqrt(x^2-4))	\int\:\frac{x+3}{\sqrt{x^{2}-4}}dx
serie de n=1 a infinity de 14^nx^nn!	\sum\:_{n=1}^{\infty\:}14^{n}x^{n}n!
integral de 0 a t de 1/x	\int\:_{0}^{t}\frac{1}{x}dx
derivada de \sqrt[3]{7+x^2}	\frac{d}{dx}(\sqrt[3]{7+x^{2}})
integral de cos(x)sec^7(x)	\int\:\cos(x)\sec^{7}(x)dx

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