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Problemas populares Cálculo

y^'=(3x-2)^2(30x+29)	y^{\prime\:}=(3x-2)^{2}(30x+29)
ty^'+(t+1)y=2te^{-t}	ty^{\prime\:}+(t+1)y=2te^{-t}
inverselaplace (2s+12)/(s^2+6s+18)	inverselaplace\:\frac{2s+12}{s^{2}+6s+18}
integral de (5x^3-4x)/(sqrt(1-x^4))	\int\:\frac{5x^{3}-4x}{\sqrt{1-x^{4}}}dx
integral de 0 a 1 de (x-7)/(x^2-5x+6)	\int\:_{0}^{1}\frac{x-7}{x^{2}-5x+6}dx
y^'+6y=e^{4t}	y^{\prime\:}+6y=e^{4t}
derivada de sec^5(sqrt(x^2-1))	\frac{d}{dx}(\sec^{5}(\sqrt{x^{2}-1}))
derivative sqrt(3x^2+1)	derivative\:\sqrt{3x^{2}+1}
f(x)=x^{1/9}	f(x)=x^{\frac{1}{9}}
tangent f(x)=2x(2-4x)^4,\at x=1	tangent\:f(x)=2x(2-4x)^{4},\at\:x=1
derivada de \sqrt[x-2]{2}	\frac{d}{dx}(\sqrt[x-2]{2})
integral de (tan^2(x))/(sec^3(x))	\int\:\frac{\tan^{2}(x)}{\sec^{3}(x)}dx
(t^2+1)(dy)/(dt)=2y	(t^{2}+1)\frac{dy}{dt}=2y
(\partial)/(\partial x)(x^8+8xy^7)	\frac{\partial\:}{\partial\:x}(x^{8}+8xy^{7})
integral de 1^3	\int\:1dx^{3}
f(x)=(x^2)/(ln(x))	f(x)=\frac{x^{2}}{\ln(x)}
derivada de 2x^2-6x	\frac{d}{dx}(2x^{2}-6x)
integral de 4x^{-1}	\int\:4x^{-1}dx
(\partial)/(\partial x)(e^{6xy})	\frac{\partial\:}{\partial\:x}(e^{6xy})
integral de 3 a 5 de 8x^{-3}	\int\:_{3}^{5}8x^{-3}dx
integral de 1 a 7 de w^2ln(w)	\int\:_{1}^{7}w^{2}\ln(w)dw
derivative 4x^2+3x	derivative\:4x^{2}+3x
integral de 9 a 18 de sqrt(324-x^2)	\int\:_{9}^{18}\sqrt{324-x^{2}}dx
integral de cot(11x)	\int\:\cot(11x)dx
derivada de 2/(sqrt(1+4x))	\frac{d}{dx}(\frac{2}{\sqrt{1+4x}})
pendiente (16,-2),(15,86)	slope\:(16,-2),(15,86)
derivative-(200)/((t+2)^2)	derivative\:-\frac{200}{(t+2)^{2}}
derivada de 3/x+5sin(x)	\frac{d}{dx}(\frac{3}{x}+5\sin(x))
inverselaplace 3/(2(s+1)^2+32)	inverselaplace\:\frac{3}{2(s+1)^{2}+32}
integral de tan^4(6x)	\int\:\tan^{4}(6x)dx
derivative sqrt(5x+3)	derivative\:\sqrt{5x+3}
integral de (10)/(x-5)	\int\:\frac{10}{x-5}dx
tangent f(x)=2x^2-7x+5,\at x=3	tangent\:f(x)=2x^{2}-7x+5,\at\:x=3
integral de 0 a t de cos(x^2)	\int\:_{0}^{t}\cos(x^{2})dx
(\partial)/(\partial x)(cos(4θ))	\frac{\partial\:}{\partial\:x}(\cos(4θ))
integral de (sin^2(x))/(1+cos(x))	\int\:\frac{\sin^{2}(x)}{1+\cos(x)}dx
derivative y=x+cos(x)	derivative\:y=x+\cos(x)
derivada de x/1	\frac{d}{dx}(\frac{x}{1})
derivative f(x)=(12x)/(1-x)	derivative\:f(x)=\frac{12x}{1-x}
(dy)/(dx)=y(1-y^2)	\frac{dy}{dx}=y(1-y^{2})
derivative f(x)= 1/(\sqrt[3]{x^2-1)}	derivative\:f(x)=\frac{1}{\sqrt[3]{x^{2}-1}}
(\partial)/(\partial x)(ysin(3x))	\frac{\partial\:}{\partial\:x}(y\sin(3x))
integral de (-8x+5)/(x^3+4x)	\int\:\frac{-8x+5}{x^{3}+4x}dx
límite cuando x tiende a 36 de x^{3/2}	\lim\:_{x\to\:36}(x^{\frac{3}{2}})
y^{''}+x=7y	y^{\prime\:\prime\:}+x=7y
(\partial)/(\partial y)(2xe^{-2xy})	\frac{\partial\:}{\partial\:y}(2xe^{-2xy})
(\partial)/(\partial x)(z^2x)	\frac{\partial\:}{\partial\:x}(z^{2}x)
paridad sqrt(x+\sqrt{x+\sqrt{x)}}	parity\:\sqrt{x+\sqrt{x+\sqrt{x}}}
y^{''}+6y^'+5y=12te^{5t}	y^{\prime\:\prime\:}+6y^{\prime\:}+5y=12te^{5t}
límite cuando x tiende a 2 de 4x^2+3	\lim\:_{x\to\:2}(4x^{2}+3)
límite cuando x tiende a 1 de 2x^2+1	\lim\:_{x\to\:1}(2x^{2}+1)
(dy)/(dx)-y-e^{3x}=0	\frac{dy}{dx}-y-e^{3x}=0
tangent f(x)=x^4-20x^2+64,\at x=-1	tangent\:f(x)=x^{4}-20x^{2}+64,\at\:x=-1
límite cuando x tiende a 3 de \|x\|	\lim\:_{x\to\:3}(\left\|x\right\|)
tangent ((4x^2))/((2-2x)^3)	tangent\:\frac{(4x^{2})}{(2-2x)^{3}}
(dy)/(dx)= x/(42+x^2)	\frac{dy}{dx}=\frac{x}{42+x^{2}}
integral de 1 a 1000 de 1/(x^2)	\int\:_{1}^{1000}\frac{1}{x^{2}}dx
integral de (y+1)x^2	\int\:(y+1)x^{2}
derivative sin(pit)	derivative\:\sin(πt)
área y=8sqrt(x),y=8x^3	area\:y=8\sqrt{x},y=8x^{3}
derivada de sin(y+xy-x^3)	\frac{d}{dx}(\sin(y)+xy-x^{3})
derivada de (x+1^{ln(x)})	\frac{d}{dx}((x+1)^{\ln(x)})
y^{''}+2y^'=2x+7-e^{-2x}	y^{\prime\:\prime\:}+2y^{\prime\:}=2x+7-e^{-2x}
integral de-1 a 1 de (x^2-1)^2	\int\:_{-1}^{1}(x^{2}-1)^{2}dx
integral de (sqrt(x)-1)/(sqrt(x))	\int\:\frac{\sqrt{x}-1}{\sqrt{x}}dx
6xy^'+y=x^4	6xy^{\prime\:}+y=x^{4}
derivada de e^x(3x+1^3)	\frac{d}{dx}(e^{x}(3x+1)^{3})
derivada de (e^x/y)	\frac{d}{dx}(\frac{e^{x}}{y})
derivative f(x)=3x^2-ln(x)	derivative\:f(x)=3x^{2}-\ln(x)
taylor 2/x ,3	taylor\:\frac{2}{x},3
x^2y^{''}+xy^'-y= 1/x	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=\frac{1}{x}
(dy)/(dx)=((4y+3)/(8x+5))^2	\frac{dy}{dx}=(\frac{4y+3}{8x+5})^{2}
integral de cos(x^2)x	\int\:\cos(x^{2})xdx
inverselaplace 8/((s^2+6s+8))	inverselaplace\:\frac{8}{(s^{2}+6s+8)}
derivada de log_{10}((arcsin(x)^2))	\frac{d}{dx}(\log_{10}((\arcsin(x))^{2}))
integral de-1 a 1 de (x^2-2x+3)	\int\:_{-1}^{1}(x^{2}-2x+3)dx
(\partial)/(\partial x)(y^4-6xy)	\frac{\partial\:}{\partial\:x}(y^{4}-6xy)
y^'+4y=e^{3x}	y^{\prime\:}+4y=e^{3x}
límite cuando x tiende a 0 de 1/1	\lim\:_{x\to\:0}(\frac{1}{1})
integral de (x^2+6)sin(2x)	\int\:(x^{2}+6)\sin(2x)dx
maclaurin ln(e+x)	maclaurin\:\ln(e+x)
integral de 0 a 0.5 de x(4-8x)	\int\:_{0}^{0.5}x(4-8x)dx
integral de xcos(nx)	\int\:x\cos(nx)dx
taylor sqrt(1-2x^2)	taylor\:\sqrt{1-2x^{2}}
límite cuando x tiende a 4 de x-5	\lim\:_{x\to\:4}(x-5)
derivada de (x^2+5/(e^x))	\frac{d}{dx}(\frac{x^{2}+5}{e^{x}})
inverselaplace (s+3)/(s^2+4s+4)	inverselaplace\:\frac{s+3}{s^{2}+4s+4}
maclaurin 1/(1+2x^3)	maclaurin\:\frac{1}{1+2x^{3}}
integral de sec^{14}(x)tan(x)	\int\:\sec^{14}(x)\tan(x)dx
derivada de (12/(x^5))	\frac{d}{dx}(\frac{12}{x^{5}})
integral de sin(t)	\int\:\sin(t)dt
(dy)/(dt)=y(8-y)	\frac{dy}{dt}=y(8-y)
integral de 1/((x+2))	\int\:\frac{1}{(x+2)}dx
pendiente (1,-2),(-5,0)	slope\:(1,-2),(-5,0)
integral de 1/(cos^2(x+1))	\int\:\frac{1}{\cos^{2}(x+1)}dx
integral de xln(1+x)	\int\:x\ln(1+x)dx
integral de 0 a 4 de (4sqrt(x))-(2x)	\int\:_{0}^{4}(4\sqrt{x})-(2x)dx
derivative 2x^2+5x	derivative\:2x^{2}+5x
límite cuando x tiende a 0 de x^3sin(1/x)	\lim\:_{x\to\:0}(x^{3}\sin(\frac{1}{x}))
derivative f(x)=2sec(x)	derivative\:f(x)=2\sec(x)

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