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Problemas populares Cálculo

f(x)=5tan(x)	f(x)=5\tan(x)
derivada de ecos(x)	\frac{d}{dx}(e\cos(x))
derivative f(x)=-5	derivative\:f(x)=-5
y^{''}-12y^'+36y=2te^{6t}	y^{\prime\:\prime\:}-12y^{\prime\:}+36y=2te^{6t}
tln(t)(dr)/(dt)+r=9te^t	t\ln(t)\frac{dr}{dt}+r=9te^{t}
derivada de ((x-9/(x+2))^{3/2})	\frac{d}{dx}((\frac{x-9}{x+2})^{\frac{3}{2}})
límite cuando x tiende a infinity de 7/x-9	\lim\:_{x\to\:\infty\:}(\frac{7}{x}-9)
integral de 45x^2ln(x)	\int\:45x^{2}\ln(x)dx
derivative f(x)=tan(1/x)	derivative\:f(x)=\tan(\frac{1}{x})
derivada de (100x/(x+y))=0	\frac{d}{dx}(\frac{100x}{x+y})=0
laplacetransform x^2e^{2x}	laplacetransform\:x^{2}e^{2x}
derivada de 2sec^2(2x)	\frac{d}{dx}(2\sec^{2}(2x))
integral de 0 a pi de sin(x^2)	\int\:_{0}^{π}\sin(x^{2})dx
integral de cot^3(x)	\int\:\cot^{3}(x)dx
tangent f(x)=sqrt(x+8),(8,4)	tangent\:f(x)=\sqrt{x+8},(8,4)
integral de (2x)/(9-4x^2)	\int\:\frac{2x}{9-4x^{2}}dx
inverselaplace (12)/(0.5s^2+4s+5)	inverselaplace\:\frac{12}{0.5s^{2}+4s+5}
integral de 1/(sqrt(x)(49+x))	\int\:\frac{1}{\sqrt{x}(49+x)}dx
maclaurin 9e^{(-4x)}	maclaurin\:9e^{(-4x)}
integral de 0 a 1 de 6/(4y-1)	\int\:_{0}^{1}\frac{6}{4y-1}dy
integral de 2x+y	\int\:2x+ydx
y^'=(1+x)/(xy^{12)}	y^{\prime\:}=\frac{1+x}{xy^{12}}
área f(x)=x^3,g(x)=4x	area\:f(x)=x^{3},g(x)=4x
límite cuando x tiende a 2 de x/(x^2-x-2)	\lim\:_{x\to\:2}(\frac{x}{x^{2}-x-2})
integral de 0 a 6 de 2x^2-16x+30	\int\:_{0}^{6}2x^{2}-16x+30dx
(e^{1/x}-(e^{1/x})/x-(5e^{1/x})/(x^2))^'	(e^{\frac{1}{x}}-\frac{e^{\frac{1}{x}}}{x}-\frac{5e^{\frac{1}{x}}}{x^{2}})^{\prime\:}
límite cuando t tiende a 0 de (t-2)^5	\lim\:_{t\to\:0}((t-2)^{5})
y^'=(4xln(2x))/(sin(y))	y^{\prime\:}=\frac{4x\ln(2x)}{\sin(y)}
derivada de 2e^x+3x	\frac{d}{dx}(2e^{x}+3x)
integral de 1/2 sin((2pix)/5)	\int\:\frac{1}{2}\sin(\frac{2πx}{5})dx
derivada de (5x+8^2)	\frac{d}{dx}((5x+8)^{2})
y^{''}+25y=5csc^2(5t)	y^{\prime\:\prime\:}+25y=5\csc^{2}(5t)
integral de e^{yt}*sin(kt)	\int\:e^{yt}\cdot\:\sin(kt)dt
límite cuando x tiende a 0 de (5x^n-3x^{n-1}+4x^{n-2})/(2x^n-6x^{n-2)}	\lim\:_{x\to\:0}(\frac{5x^{n}-3x^{n-1}+4x^{n-2}}{2x^{n}-6x^{n-2}})
integral de sin^2(x)cos(3x)	\int\:\sin^{2}(x)\cos(3x)dx
integral de 2x(x^2+2)^8	\int\:2x(x^{2}+2)^{8}dx
área x=0,x=5-y^2	area\:x=0,x=5-y^{2}
9y^{''}+60y^'+100y=0	9y^{\prime\:\prime\:}+60y^{\prime\:}+100y=0
derivative 8(x+2)^{3/2}	derivative\:8(x+2)^{\frac{3}{2}}
derivative x^3e^x-3x^2e^x+6xe^x-6e^x	derivative\:x^{3}e^{x}-3x^{2}e^{x}+6xe^{x}-6e^{x}
(\partial)/(\partial x)(9-2x+4y-x^2-4y^2)	\frac{\partial\:}{\partial\:x}(9-2x+4y-x^{2}-4y^{2})
área f(x)= 3/x+x,5,15	area\:f(x)=\frac{3}{x}+x,5,15
derivative 1/(2t-1)	derivative\:\frac{1}{2t-1}
integral de (1-t)(7+t^2)	\int\:(1-t)(7+t^{2})dt
límite cuando x tiende a 1+de 2-x	\lim\:_{x\to\:1+}(2-x)
integral de (((ln(x))^2))/x	\int\:\frac{((\ln(x))^{2})}{x}dx
derivada de (x^7/7)	\frac{d}{dx}(\frac{x^{7}}{7})
pendiente f(x)=-0.04x^4+4	slope\:f(x)=-0.04x^{4}+4
f(x)=arctan(e^{2x})	f(x)=\arctan(e^{2x})
derivative (2sqrt(x))/(x^2-8)	derivative\:\frac{2\sqrt{x}}{x^{2}-8}
serie de n=1 a infinity de (1-2/n)^n	\sum\:_{n=1}^{\infty\:}(1-\frac{2}{n})^{n}
integral de [sin(ln(x))]	\int\:[\sin(\ln(x))]dx
integral de t^3ln(t^2)	\int\:t^{3}\ln(t^{2})dt
desarrollar (-2cos(2x)-sin(3x)-3)^2	expand\:(-2\cos(2x)-\sin(3x)-3)^{2}
y^{''}+y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+y=0,y(0)=0,y^{\prime\:}(0)=0
serie de n=1 a infinity de (n^n)/(n+3)	\sum\:_{n=1}^{\infty\:}\frac{n^{n}}{n+3}
integral de (sin(9x))/(1+cos^2(9x))	\int\:\frac{\sin(9x)}{1+\cos^{2}(9x)}dx
derivative 1-cos^2(x)	derivative\:1-\cos^{2}(x)
derivada de 6sin(2pix)	\frac{d}{dx}(6\sin(2πx))
integral de 8cos(θ)sin(θ)	\int\:8\cos(θ)\sin(θ)dθ
(\partial)/(\partial u)(3cos(u))	\frac{\partial\:}{\partial\:u}(3\cos(u))
integral de 1 a 2 de w^7e^{w^4}	\int\:_{1}^{2}w^{7}e^{w^{4}}dw
integral de tan^3(3x)	\int\:\tan^{3}(3x)dx
2xydy=(x^2-y^2)dx	2xydy=(x^{2}-y^{2})dx
área y=4-x^2,(-2,2)	area\:y=4-x^{2},(-2,2)
(\partial)/(\partial x)(sin(4x^2y-4xy^3))	\frac{\partial\:}{\partial\:x}(\sin(4x^{2}y-4xy^{3}))
derivative f(x)=(6x^2+8x+2)/(sqrt(x))	derivative\:f(x)=\frac{6x^{2}+8x+2}{\sqrt{x}}
integral de 1 a 2 de 5x	\int\:_{1}^{2}5xdx
integral de 0 a pi de cos^2(t)	\int\:_{0}^{π}\cos^{2}(t)dt
derivative f(x)=x^{e^x}	derivative\:f(x)=x^{e^{x}}
derivative f(x)=sqrt(22x)	derivative\:f(x)=\sqrt{22x}
derivative y=-6(4x^2+4)^{-6}	derivative\:y=-6(4x^{2}+4)^{-6}
integral de 0 a infinity de arctan(x)	\int\:_{0}^{\infty\:}\arctan(x)dx
integral de-1/2 e^{2x}	\int\:-\frac{1}{2}e^{2x}dx
(\partial)/(\partial y)(e^{3x-y})	\frac{\partial\:}{\partial\:y}(e^{3x-y})
integral de xe^{2-x}	\int\:xe^{2-x}dx
integral de 1/3 sqrt(x)	\int\:\frac{1}{3}\sqrt{x}dx
integral de xsqrt(2)-1/(2sqrt(x))	\int\:x\sqrt{2}-\frac{1}{2\sqrt{x}}dx
integral de sqrt(x^3)sin^2(1+x^{5/2})	\int\:\sqrt{x^{3}}\sin^{2}(1+x^{\frac{5}{2}})dx
integral de 0 a 0.5 de 750x	\int\:_{0}^{0.5}750xdx
tangent 2e^xcos(x)	tangent\:2e^{x}\cos(x)
y^'+(1/x-1)y=-2/x	y^{\prime\:}+(\frac{1}{x}-1)y=-\frac{2}{x}
derivada de 5(2-x^3^4)	\frac{d}{dx}(5(2-x^{3})^{4})
(\partial)/(\partial x)(-3y^5sin(3x))	\frac{\partial\:}{\partial\:x}(-3y^{5}\sin(3x))
inverselaplace (7s+2)/(s^2+6s+34)	inverselaplace\:\frac{7s+2}{s^{2}+6s+34}
derivada de 2x^3-3	\frac{d}{dx}(2x^{3}-3)
y^'= y/x ,y(1)=2	y^{\prime\:}=\frac{y}{x},y(1)=2
pendiente (4.5)(9.25)	slope\:(4.5)(9.25)
integral de (14x+2)	\int\:(14x+2)dx
pendiente eln(2x^4+ax^2y^2+2y^4)	slope\:e\ln(2x^{4}+ax^{2}y^{2}+2y^{4})
y^{''}-9y=(x^2-2)sin(3x)	y^{\prime\:\prime\:}-9y=(x^{2}-2)\sin(3x)
integral de-10x^{-6}	\int\:-10x^{-6}dx
límite cuando x tiende a 0 de-3x^2-5x+1	\lim\:_{x\to\:0}(-3x^{2}-5x+1)
tangent f(x)=8sqrt(x),\at x=16	tangent\:f(x)=8\sqrt{x},\at\:x=16
derivative log_{3}(2x^2+4x+3)	derivative\:\log_{3}(2x^{2}+4x+3)
integral de x^2x^e	\int\:x^{2}x^{e}dx
integral de 3^{5x-1}	\int\:3^{5x-1}dx
(3dy)/(dx)=y^2	\frac{3dy}{dx}=y^{2}
derivada de (sqrt(x)/(8x+8))	\frac{d}{dx}(\frac{\sqrt{x}}{8x+8})
límite cuando x tiende a 9 de (x+8)/(x+9)	\lim\:_{x\to\:9}(\frac{x+8}{x+9})

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