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Problemas populares Cálculo

límite cuando x tiende a-3 de f(x)x	\lim\:_{x\to\:-3}(f(x)x)
y^'=8y^2cos(t)+7y^2sin(4t)	y^{\prime\:}=8y^{2}\cos(t)+7y^{2}\sin(4t)
tangent x^3-2x+2	tangent\:x^{3}-2x+2
tangent-6x^2+5x	tangent\:-6x^{2}+5x
derivative y=(ln(x))^3	derivative\:y=(\ln(x))^{3}
derivative f(x)=e^{2-x}	derivative\:f(x)=e^{2-x}
tangent x^2+3,\at (x=1)	tangent\:x^{2}+3,\at\:(x=1)
inverselaplace (s^2-1)/(s^4+3s^2+2)	inverselaplace\:\frac{s^{2}-1}{s^{4}+3s^{2}+2}
integral de 1/(2x^2+2)	\int\:\frac{1}{2x^{2}+2}dx
derivative-t	derivative\:-t
(\partial)/(\partial x)(-2st)	\frac{\partial\:}{\partial\:x}(-2st)
límite cuando x tiende a 0+de x/(cos(4x)-1)	\lim\:_{x\to\:0+}(\frac{x}{\cos(4x)-1})
tangent 1/(x+2)	tangent\:\frac{1}{x+2}
integral de 0 a pi/3 de sec(x)	\int\:_{0}^{\frac{π}{3}}\sec(x)dx
derivative sqrt(2x+7)	derivative\:\sqrt{2x+7}
límite cuando x tiende a 1 de x^4-1	\lim\:_{x\to\:1}(x^{4}-1)
derivada de x^{4/3}-x^{1/3}	\frac{d}{dx}(x^{\frac{4}{3}}-x^{\frac{1}{3}})
integral de e^{6θ}sin(7θ)	\int\:e^{6θ}\sin(7θ)dθ
derivada de 4sin^3(xcos(x))	\frac{d}{dx}(4\sin^{3}(x)\cos(x))
integral de (e^x)/(3+e^x)	\int\:\frac{e^{x}}{3+e^{x}}dx
\H(-5)=2^x	\H(-5)=2^{x}
integral de (5x+3)	\int\:(5x+3)dx
integral de (2x-1)e^{-x}	\int\:(2x-1)e^{-x}dx
y^'-t^2y=0	y^{\prime\:}-t^{2}y=0
límite cuando x tiende a 0 de 1/x-1/(e^x)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{e^{x}})
inverselaplace 1/((s^2+1)(s^2+16))	inverselaplace\:\frac{1}{(s^{2}+1)(s^{2}+16)}
límite cuando x tiende a 2 de x^2-4x+5	\lim\:_{x\to\:2}(x^{2}-4x+5)
(\partial)/(\partial x)(3x+xy+x^2y-2y)	\frac{\partial\:}{\partial\:x}(3x+xy+x^{2}y-2y)
(\partial)/(\partial x)(1/(\|x\|))	\frac{\partial\:}{\partial\:x}(\frac{1}{\left\|x\right\|})
integral de 0 a 2 de 2x+5	\int\:_{0}^{2}2x+5dx
derivada de 40x(5x^2-8)	\frac{d}{dx}(40x(5x^{2}-8))
integral de 2 a infinity de 1/(x^5)	\int\:_{2}^{\infty\:}\frac{1}{x^{5}}dx
integral de xe^{(x^2)/2}	\int\:xe^{\frac{x^{2}}{2}}dx
límite cuando x tiende a pi de 3arctan(x)	\lim\:_{x\to\:π}(3\arctan(x))
derivative (x^2-1)/(x+3)	derivative\:\frac{x^{2}-1}{x+3}
(\partial)/(\partial y)(x^3)	\frac{\partial\:}{\partial\:y}(x^{3})
(x^4+y^4)dx-xy^3dy=0	(x^{4}+y^{4})dx-xy^{3}dy=0
derivative 1/(sqrt(x-2))	derivative\:\frac{1}{\sqrt{x-2}}
integral de sin(x)+cos(x)	\int\:\sin(x)+\cos(x)dx
límite cuando x tiende a-1 de (1/x+1)/(x+1)	\lim\:_{x\to\:-1}(\frac{\frac{1}{x}+1}{x+1})
integral de-1 a 1 de 1/(x+2)	\int\:_{-1}^{1}\frac{1}{x+2}dx
integral de 1 a 2 de (x+1)/(sqrt(x))	\int\:_{1}^{2}\frac{x+1}{\sqrt{x}}dx
(d^4y)/(dx^4)-23(d^2y)/(dx^2)-50y=0	\frac{d^{4}y}{dx^{4}}-23\frac{d^{2}y}{dx^{2}}-50y=0
límite cuando x tiende a 0 de sqrt(sin(2x))	\lim\:_{x\to\:0}(\sqrt{\sin(2x)})
inverselaplace s/((s-2)^2+16)	inverselaplace\:\frac{s}{(s-2)^{2}+16}
integral de 1/3 a 5 de 16xln(3x)	\int\:_{\frac{1}{3}}^{5}16x\ln(3x)dx
tangent f(x)=x^2+4x-5,\at x=2	tangent\:f(x)=x^{2}+4x-5,\at\:x=2
integral de 1/(25-81x^2)	\int\:\frac{1}{25-81x^{2}}dx
integral de ((x^3+x))/(2x-1)	\int\:\frac{(x^{3}+x)}{2x-1}dx
integral de 0 a pi/8 de (sin(2x))	\int\:_{0}^{\frac{π}{8}}(\sin(2x))dx
derivada de x/(x^{-1+5})	\frac{d}{dx}(\frac{x}{x^{-1}+5})
derivada de x^2*sin(1/(x^2))	\frac{d}{dx}(x^{2}\cdot\:\sin(\frac{1}{x^{2}}))
integral de-1 a 1 de (9x^2+6x-3)	\int\:_{-1}^{1}(9x^{2}+6x-3)dx
integral de ue^u	\int\:ue^{u}du
(\partial)/(\partial y)(4x^3y^2+4)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{2}+4)
integral de (x^2)/5	\int\:\frac{x^{2}}{5}dx
límite cuando x tiende a 0 de xcot((pix)/2)	\lim\:_{x\to\:0}(x\cot(\frac{πx}{2}))
integral de (5+x^8)^48x^7	\int\:(5+x^{8})^{4}8x^{7}dx
(dy)/(dx)+y=e^{-x}	\frac{dy}{dx}+y=e^{-x}
tangent y=3x^3-3x,(1,0)	tangent\:y=3x^{3}-3x,(1,0)
(\partial)/(\partial x)(xsqrt(1-x^2))	\frac{\partial\:}{\partial\:x}(x\sqrt{1-x^{2}})
área y=8x,y=0,y=x^2-9	area\:y=8x,y=0,y=x^{2}-9
integral de 4θcos(θ)	\int\:4θ\cos(θ)dθ
integral de ((2+ln(x)))/x	\int\:\frac{(2+\ln(x))}{x}dx
integral de sqrt(36-7x^2)	\int\:\sqrt{36-7x^{2}}dx
(\partial)/(\partial y)(2x+y-8)	\frac{\partial\:}{\partial\:y}(2x+y-8)
derivative tan(x^2)	derivative\:\tan(x^{2})
integral de 1 a infinity de 1	\int\:_{1}^{\infty\:}1
derivada de 1/2 (3x^2+x^{-3})	\frac{d}{dx}(\frac{1}{2}(3x^{2}+x)^{-3})
derivative f(x)=x^4sin(2x)	derivative\:f(x)=x^{4}\sin(2x)
derivada de (x+2((300)/x+4))	\frac{d}{dx}((x+2)(\frac{300}{x}+4))
y^'-2y=4-t	y^{\prime\:}-2y=4-t
límite cuando x tiende a 0+de (19)/(x^2)	\lim\:_{x\to\:0+}(\frac{19}{x^{2}})
integral de (x^2+x-1)/(x^2-x)	\int\:\frac{x^{2}+x-1}{x^{2}-x}dx
derivada de (3x^2/2-7/(5x^2))	\frac{d}{dx}(\frac{3x^{2}}{2}-\frac{7}{5x^{2}})
(d^2)/(dx^2)(1/(sqrt(1-t^2)))	\frac{d^{2}}{dx^{2}}(\frac{1}{\sqrt{1-t^{2}}})
tangent y=3x^2-4x+5	tangent\:y=3x^{2}-4x+5
derivative y=ln(x)sqrt(x)	derivative\:y=\ln(x)\sqrt{x}
límite cuando x tiende a 5 de 5/((x-5)^2)	\lim\:_{x\to\:5}(\frac{5}{(x-5)^{2}})
integral de (x+3)/(x^4+9x^2)	\int\:\frac{x+3}{x^{4}+9x^{2}}dx
límite cuando x tiende a 0+de x^7ln(x)	\lim\:_{x\to\:0+}(x^{7}\ln(x))
límite cuando x tiende a 0+de xln(x^7)	\lim\:_{x\to\:0+}(x\ln(x^{7}))
integral de xsqrt(x-7)	\int\:x\sqrt{x-7}dx
(\partial)/(\partial x)(sin(-2x+4y+z))	\frac{\partial\:}{\partial\:x}(\sin(-2x+4y+z))
derivada de e^xsin(sqrt(x))	\frac{d}{dx}(e^{x}\sin(\sqrt{x}))
integral de ((10)/(sqrt(x))+10sqrt(x))	\int\:(\frac{10}{\sqrt{x}}+10\sqrt{x})dx
límite cuando x tiende a 0 de (x(x))/(x+x)	\lim\:_{x\to\:0}(\frac{x(x)}{x+x})
derivative f(x)=4x\sqrt[3]{x}	derivative\:f(x)=4x\sqrt[3]{x}
derivative f(x)=(3x+7)^2	derivative\:f(x)=(3x+7)^{2}
derivada de f(x)=(5x-5x^3)(7+sqrt(x))	\frac{d}{dx}f(x)=(5x-5x^{3})(7+\sqrt{x})
x(dy)/(dx)+y= 1/(y^2)	x\frac{dy}{dx}+y=\frac{1}{y^{2}}
derivada de 30-80e^{-0.8x}	\frac{d}{dx}(30-80e^{-0.8x})
ydx+(e^{-y}+x)dy=0	ydx+(e^{-y}+x)dy=0
maclaurin 4x^4+3x^3+2x^2+x+1	maclaurin\:4x^{4}+3x^{3}+2x^{2}+x+1
integral de sin(4x)cos(7x)	\int\:\sin(4x)\cos(7x)dx
(\partial)/(\partial x)(3x^{2/3}y^{1/3})	\frac{\partial\:}{\partial\:x}(3x^{\frac{2}{3}}y^{\frac{1}{3}})
integral de 0 a 0.5 de 150x	\int\:_{0}^{0.5}150xdx
integral de 0 a 1 de (29)/(4y-1)	\int\:_{0}^{1}\frac{29}{4y-1}dy
límite cuando x tiende a 0 de 3x^2-1	\lim\:_{x\to\:0}(3x^{2}-1)
derivative y=2x^4+3x-3	derivative\:y=2x^{4}+3x-3

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