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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a 2 de x^2+2x	\lim\:_{x\to\:2}(x^{2}+2x)
límite cuando x tiende a 0+de 1/(4x^{6/7)}-7/((x-6^{6/7))}	\lim\:_{x\to\:0+}(\frac{1}{4x^{\frac{6}{7}}}-\frac{7}{(x-6^{\frac{6}{7}})})
derivative (12)/(x^5)	derivative\:\frac{12}{x^{5}}
derivative (9-sec(x))/(tan(x))	derivative\:\frac{9-\sec(x)}{\tan(x)}
(\partial}{\partial t}(\frac{3r+s)/t)	\frac{\partial\:}{\partial\:t}(\frac{3r+s}{t})
y^{''}-2y^'+6y=0	y^{\prime\:\prime\:}-2y^{\prime\:}+6y=0
integral de 4sin^2(x)cos^3(x)	\int\:4\sin^{2}(x)\cos^{3}(x)dx
(dy)/(dx)=tan(y)	\frac{dy}{dx}=\tan(y)
derivada de (x-1/(x^2))	\frac{d}{dx}(\frac{x-1}{x^{2}})
integral de sqrt(x)*(7x^2+x)	\int\:\sqrt{x}\cdot\:(7x^{2}+x)dx
integral de sqrt(8^2-x^2)	\int\:\sqrt{8^{2}-x^{2}}dx
integral de-1 a 1 de (2x^2-x^3)	\int\:_{-1}^{1}(2x^{2}-x^{3})dx
derivada de In(x^2+7)	\frac{d}{dx}(In(x^{2}+7))
integral de (x-3)/((x+8)(x-2))	\int\:\frac{x-3}{(x+8)(x-2)}dx
derivative sqrt(a^2-x^2)	derivative\:\sqrt{a^{2}-x^{2}}
derivative h(x)=(2x)/(sin(x))	derivative\:h(x)=\frac{2x}{\sin(x)}
derivada de (x^2+x(6-x))	\frac{d}{dx}((x^{2}+x)(6-x))
integral de 1/(sqrt(7x+6))	\int\:\frac{1}{\sqrt{7x+6}}dx
pendienteintercept (2,4),(5,13)	slopeintercept\:(2,4),(5,13)
integral de (1/3)^x	\int\:(\frac{1}{3})^{x}dx
límite cuando x tiende a 4 de x/(x+1)	\lim\:_{x\to\:4}(\frac{x}{x+1})
área f(x)=1-e^{-x/3},2,3	area\:f(x)=1-e^{-\frac{x}{3}},2,3
integral de (x^2+x+1)/(sqrt(x))	\int\:\frac{x^{2}+x+1}{\sqrt{x}}dx
derivative f(x)=ln(9x)	derivative\:f(x)=\ln(9x)
tangent f(x)=-4x^2+6,\at x=-1	tangent\:f(x)=-4x^{2}+6,\at\:x=-1
(dy}{dx}=-\frac{(xe^{-x^2}))/y	\frac{dy}{dx}=-\frac{(xe^{-x^{2}})}{y}
integral de x^{(3/2)}	\int\:x^{(\frac{3}{2})}dx
derivada de arcsin(x 8/pi)	\frac{d}{dx}(\arcsin(x)\frac{8}{π})
serie de n=1 a infinity de n*1/(2^n)	\sum\:_{n=1}^{\infty\:}n\cdot\:\frac{1}{2^{n}}
integral de 1/(sqrt(x^2+8x))	\int\:\frac{1}{\sqrt{x^{2}+8x}}dx
integral de 0 a 1 de sqrt(1-y^2)	\int\:_{0}^{1}\sqrt{1-y^{2}}dy
y^{''}+5y^'+6y=e^{-3x}	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=e^{-3x}
integral de (22s+22)/((s^2+1)(s-1)^3)	\int\:\frac{22s+22}{(s^{2}+1)(s-1)^{3}}ds
v(dv)/(dx)=9.8-0.002v^2	v\frac{dv}{dx}=9.8-0.002v^{2}
integral de sin(-x)	\int\:\sin(-x)dx
d/(dt)(4/t)	\frac{d}{dt}(\frac{4}{t})
límite cuando x tiende a+0 de (e^{2x}+x)^{1/x}	\lim\:_{x\to\:+0}((e^{2x}+x)^{\frac{1}{x}})
integral de csc^2(3x)cos(3x)	\int\:\csc^{2}(3x)\cos(3x)dx
límite cuando x tiende a 0 de sqrt(x)-2	\lim\:_{x\to\:0}(\sqrt{x}-2)
y^{''}-6y^'-2y+1=cos(2x)	y^{\prime\:\prime\:}-6y^{\prime\:}-2y+1=\cos(2x)
(x^2+4)(dy)/(dx)+3xy=x	(x^{2}+4)\frac{dy}{dx}+3xy=x
integral de (x-1)^4	\int\:(x-1)^{4}dx
integral de 2x+7	\int\:2x+7dx
tangent sqrt(x+1)	tangent\:\sqrt{x+1}
y^{''}-ay^'-by=0	y^{\prime\:\prime\:}-ay^{\prime\:}-by=0
derivada de \sqrt[5]{ln(7-x^2})	\frac{d}{dx}(\sqrt[5]{\ln(7-x^{2})})
integral de (4x)/(sqrt(1+x^2))	\int\:\frac{4x}{\sqrt{1+x^{2}}}dx
(dy)/(dt)=2(1-y)	\frac{dy}{dt}=2(1-y)
inversalaplace (10)/(s(s^2+0.22s+6))	inverselaplace\:\frac{10}{s(s^{2}+0.22s+6)}
derivative (log_{4}(x))^{10}	derivative\:(\log_{4}(x))^{10}
(\partial)/(\partial v)(w^2sin(v))	\frac{\partial\:}{\partial\:v}(w^{2}\sin(v))
integral de sqrt(21+4x-x^2)	\int\:\sqrt{21+4x-x^{2}}dx
límite cuando x tiende a 4 de (3x-12)/(x-4)	\lim\:_{x\to\:4}(\frac{3x-12}{x-4})
área y=2x^2+10,y=4x+16	area\:y=2x^{2}+10,y=4x+16
derivative (x^9-x^{1/6})6^x	derivative\:(x^{9}-x^{\frac{1}{6}})6^{x}
límite cuando t tiende a pi de cos(t)	\lim\:_{t\to\:π}(\cos(t))
(ln(sec(x)))^'	(\ln(\sec(x)))^{\prime\:}
integral de 4x+sin(3x)	\int\:4x+\sin(3x)dx
pendienteintercept (6.4)(2.1)	slopeintercept\:(6.4)(2.1)
(\partial)/(\partial x)(-2e^{-3x^2-y^2}y)	\frac{\partial\:}{\partial\:x}(-2e^{-3x^{2}-y^{2}}y)
derivative y=1.00059e^{(2.39736)}-1.0005	derivative\:y=1.00059e^{(2.39736)}-1.0005
derivada de 1/(2sqrt(x+7))	\frac{d}{dx}(\frac{1}{2\sqrt{x+7}})
derivative f(x)=x*e^{2x-4}	derivative\:f(x)=x\cdot\:e^{2x-4}
derivative (9x^2)(-1+2x)	derivative\:(9x^{2})(-1+2x)
integral de 0 a 2x de sin(2x)	\int\:_{0}^{2x}\sin(2x)dx
derivative (6x^2+8)^6	derivative\:(6x^{2}+8)^{6}
integral de (e^xsin(y))	\int\:(e^{x}\sin(y))dx
integral de (e^x)/((1-e^x)^5)	\int\:\frac{e^{x}}{(1-e^{x})^{5}}dx
integral de (x+2)/(x-2)	\int\:\frac{x+2}{x-2}dx
tangent f(x)= 1/(x+8),\at x=5	tangent\:f(x)=\frac{1}{x+8},\at\:x=5
límite cuando x tiende a 4-de ((1-x))/(4-x)	\lim\:_{x\to\:4-}(\frac{(1-x)}{4-x})
cos(6x)((dy)/(dx))+6(tan(6x))y=5sec(6x)	\cos(6x)(\frac{dy}{dx})+6(\tan(6x))y=5\sec(6x)
límite cuando t tiende a 0 de cos(1/t)	\lim\:_{t\to\:0}(\cos(\frac{1}{t}))
integral de 1/(1+x^2)	\int\:\frac{1}{1+x^{2}}dx
integral de (e^{-x}(3+4xln(x)))/(2x)	\int\:\frac{e^{-x}(3+4x\ln(x))}{2x}dx
integral de sqrt(a-bx)	\int\:\sqrt{a-bx}dx
integral de (sin(nt))/n	\int\:\frac{\sin(nt)}{n}dt
(\partial)/(\partial x)(3x^2+2xy^3)	\frac{\partial\:}{\partial\:x}(3x^{2}+2xy^{3})
integral de ln(x-9)	\int\:\ln(x-9)dx
tangent f(x)=3x^4,\at x=-2	tangent\:f(x)=3x^{4},\at\:x=-2
derivative (8x^2)/(4-3x)	derivative\:\frac{8x^{2}}{4-3x}
área x^2-4,-x^2+4	area\:x^{2}-4,-x^{2}+4
derivada de (3sqrt(x)+8x^2)	\frac{d}{dx}((3\sqrt{x}+8)x^{2})
integral de 4csc(x)cot(x)-sec(x)tan(x)	\int\:4\csc(x)\cot(x)-\sec(x)\tan(x)dx
tangent y=x^3-2x+2,(2,6)	tangent\:y=x^{3}-2x+2,(2,6)
integral de 0 a 4 de sqrt(x(x+2))	\int\:_{0}^{4}\sqrt{x(x+2)}dx
integral de 0 a 1 de 6cos(4x)	\int\:_{0}^{1}6\cos(4x)dx
derivada de arcsin(e^x)	\frac{d}{dx}(\arcsin(e^{x}))
integral de (x^2)/(sqrt(5-x))	\int\:\frac{x^{2}}{\sqrt{5-x}}dx
derivative (2z+e^{-z^2})^6	derivative\:(2z+e^{-z^{2}})^{6}
f(x)=sqrt(2-x)	f(x)=\sqrt{2-x}
límite cuando x tiende a-4 de (x+8)/(x+4)	\lim\:_{x\to\:-4}(\frac{x+8}{x+4})
derivada de (x^2/(5+6x))	\frac{d}{dx}(\frac{x^{2}}{5+6x})
integral de sin(wt)cos^2(wt)	\int\:\sin(wt)\cos^{2}(wt)dt
tangent x^3-3x+2	tangent\:x^{3}-3x+2
integral de (e/3)^{3x}	\int\:(\frac{e}{3})^{3x}dx
(d^3)/(dx^3)(9/(x^2))	\frac{d^{3}}{dx^{3}}(\frac{9}{x^{2}})
integral de+sin^3(θ)cos^8(θ)	\int\:+\sin^{3}(θ)\cos^{8}(θ)dθ
derivada de (15/(x^4))	\frac{d}{dx}(\frac{15}{x^{4}})
extreme f(x)=sqrt(r^2-8x^2)	extreme\:f(x)=\sqrt{r^{2}-8x^{2}}

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