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Problemas populares Cálculo

derivative 925+20x-0.079x^2	derivative\:925+20x-0.079x^{2}
integral de-9 a 0 de 1/(sqrt(16-x))	\int\:_{-9}^{0}\frac{1}{\sqrt{16-x}}dx
derivada de ln(5x^3+2x)	\frac{d}{dx}(\ln(5x^{3}+2x))
integral de x^2-x	\int\:x^{2}-xdx
derivada de \|x-4\|	\frac{d}{dx}(\left\|x-4\right\|)
derivada de sin^3(x^2-1)	\frac{d}{dx}(\sin^{3}(x^{2}-1))
integral de (x+arctan(x))/(1+x^2)	\int\:\frac{x+\arctan(x)}{1+x^{2}}dx
derivada de x^{arcsin(x})	\frac{d}{dx}(x^{\arcsin(x)})
derivada de (4x+4sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{4x+4\sqrt{1+x}}{x^{2}-1})
integral de (8x^2+10)/(x^3+5x)	\int\:\frac{8x^{2}+10}{x^{3}+5x}dx
x^3=(2sqrt(y^5+4))/(5y^4y^')	x^{3}=\frac{2\sqrt{y^{5}+4}}{5y^{4}y^{\prime\:}}
integral de sin(16x)cos(7x)	\int\:\sin(16x)\cos(7x)dx
(\partial)/(\partial x)(x^7y^6)	\frac{\partial\:}{\partial\:x}(x^{7}y^{6})
integral de sqrt(5x-1)	\int\:\sqrt{5x-1}dx
(dy)/(dx)=8-y/(50),y(0)=50	\frac{dy}{dx}=8-\frac{y}{50},y(0)=50
y^{''}=6t	y^{\prime\:\prime\:}=6t
derivative f(x)= 1/(x^8)	derivative\:f(x)=\frac{1}{x^{8}}
derivada de sqrt(x)+1/x	\frac{d}{dx}(\sqrt{x}+\frac{1}{x})
integral de 2x+5	\int\:2x+5dx
tangent f(x)=-2x^4,\at x=3	tangent\:f(x)=-2x^{4},\at\:x=3
d/(d{r)}(-arctan({r})+2arccot({r})-ln({r}))	\frac{d}{d{r}}(-\arctan({r})+2\arccot({r})-\ln({r}))
integral de 19	\int\:19dx
(\partial)/(\partial x)(2x+5y)	\frac{\partial\:}{\partial\:x}(2x+5y)
integral de 13cos(pix)cos(4pix)	\int\:13\cos(πx)\cos(4πx)dx
serie de n=0 a infinity de cos(7pin)	\sum\:_{n=0}^{\infty\:}\cos(7πn)
integral de sqrt(t)(t^2-3t+5)	\int\:\sqrt{t}(t^{2}-3t+5)dt
tangent f(x)= 3/(x+1),\at x=2	tangent\:f(x)=\frac{3}{x+1},\at\:x=2
integral de sin^2(θ)cos^5(θ)	\int\:\sin^{2}(θ)\cos^{5}(θ)dθ
(\partial)/(\partial x)(e^{5xy})	\frac{\partial\:}{\partial\:x}(e^{5xy})
integral de (sqrt(x))/(\sqrt[3]{x)}	\int\:\frac{\sqrt{x}}{\sqrt[3]{x}}dx
derivada de sec^2(xtan^2(x))	\frac{d}{dx}(\sec^{2}(x)\tan^{2}(x))
integral de (2x+4)/(x^2-x)	\int\:\frac{2x+4}{x^{2}-x}dx
(\partial)/(\partial x)(1/3 x^{3/2})	\frac{\partial\:}{\partial\:x}(\frac{1}{3}x^{\frac{3}{2}})
(\partial)/(\partial y)(6xcos(x)cos(y))	\frac{\partial\:}{\partial\:y}(6x\cos(x)\cos(y))
y^'+y=-x	y^{\prime\:}+y=-x
límite cuando x tiende a 0 de (((6+x)^{-1}-6^{-1}))/x	\lim\:_{x\to\:0}(\frac{((6+x)^{-1}-6^{-1})}{x})
derivative f(x)=(x^2-6x+12)/(x-4)	derivative\:f(x)=\frac{x^{2}-6x+12}{x-4}
pendiente x^2-3x	slope\:x^{2}-3x
integral de 0 a 3 de 1/(x^4)	\int\:_{0}^{3}\frac{1}{x^{4}}dx
integral de 18cot^4(x)	\int\:18\cot^{4}(x)dx
integral de sqrt(y^2-1)	\int\:\sqrt{y^{2}-1}dy
tangent f(x)=x^3-2x+2,(4,58)	tangent\:f(x)=x^{3}-2x+2,(4,58)
laplacetransform e^{-t}(cos(4t)-2sin(4t))	laplacetransform\:e^{-t}(\cos(4t)-2\sin(4t))
d/(dt)(t^2e^t)	\frac{d}{dt}(t^{2}e^{t})
taylor 3/((x^2-x-2))	taylor\:\frac{3}{(x^{2}-x-2)}
derivada de (2+x^{1/3}(1-x)^{2/3})	\frac{d}{dx}((2+x)^{\frac{1}{3}}(1-x)^{\frac{2}{3}})
integral de 9/((x-1)(x+8))	\int\:\frac{9}{(x-1)(x+8)}dx
taylor 4x^4+3x^3+2x^2+x+1	taylor\:4x^{4}+3x^{3}+2x^{2}+x+1
d/(dt)(6ln(cos(t)))	\frac{d}{dt}(6\ln(\cos(t)))
integral de ((x+4))/(2x+3)	\int\:\frac{(x+4)}{2x+3}dx
integral de 5e^{-5x}	\int\:5e^{-5x}dx
derivada de arctan(1/(1+x^2))	\frac{d}{dx}(\arctan(\frac{1}{1+x^{2}}))
integral de-5 a 5 de 4(25-x^2)	\int\:_{-5}^{5}4(25-x^{2})dx
derivative sqrt(8x-5)	derivative\:\sqrt{8x-5}
(d^4)/(dx^4)(ln(1+x))	\frac{d^{4}}{dx^{4}}(\ln(1+x))
y^'+x=0	y^{\prime\:}+x=0
integral de sqrt(8-4x-4x^2)	\int\:\sqrt{8-4x-4x^{2}}dx
límite cuando x tiende a 0 de x^2+4x+2	\lim\:_{x\to\:0}(x^{2}+4x+2)
serie de n=1 a infinity de 1/(ln(n+1))	\sum\:_{n=1}^{\infty\:}\frac{1}{\ln(n+1)}
y^'=k(y-9-10cos(2pit))	y^{\prime\:}=k(y-9-10\cos(2\cdot\:π\cdot\:t))
(d^2)/(dx^2)(2sin(-4x-3))	\frac{d^{2}}{dx^{2}}(2\sin(-4x-3))
serie de n=2 a infinity de 1/(5^n)	\sum\:_{n=2}^{\infty\:}\frac{1}{5^{n}}
límite cuando x tiende a 0 de (sin(x))/(8x)	\lim\:_{x\to\:0}(\frac{\sin(x)}{8x})
f(x)=(sin(x)+cos(x))/(e^x)	f(x)=\frac{\sin(x)+\cos(x)}{e^{x}}
integral de 3x^2-8x+C	\int\:3x^{2}-8x+Cdx
derivative h(x)=(xtan(x))^7	derivative\:h(x)=(x\tan(x))^{7}
integral de xsin(ax)	\int\:x\sin(ax)dx
integral de ln(cos(x))	\int\:\ln(\cos(x))dx
y^'=1-y/(100)	y^{\prime\:}=1-\frac{y}{100}
tangent sin(x)	tangent\:\sin(x)
derivative 5(x^{2n-1})*(2x^{3n+1})^2	derivative\:5(x^{2n-1})\cdot\:(2x^{3n+1})^{2}
f(x)=xe^{1/x}	f(x)=xe^{\frac{1}{x}}
límite cuando x tiende a 0 de (e^{-1x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{-1x}-1}{x})
integral de sin(x)ln(c)osx	\int\:\sin(x)\ln(c)osxdx
laplacetransform sin(2t)sin(5t)	laplacetransform\:\sin(2t)\sin(5t)
(\partial)/(\partial x)(yx+2x)	\frac{\partial\:}{\partial\:x}(yx+2x)
integral de (1+sin(x))/(1-sin(x))	\int\:\frac{1+\sin(x)}{1-\sin(x)}dx
integral de xln(x+2)	\int\:x\ln(x+2)dx
integral de 0 a 1 de 2pixe^{-x^2}	\int\:_{0}^{1}2πxe^{-x^{2}}dx
derivada de xy^'-y	\frac{d}{dx}(xy^{\prime\:}-y)
integral de 1/(x^2+x-6)	\int\:\frac{1}{x^{2}+x-6}dx
tangent 9x^2	tangent\:9x^{2}
derivada de ln(x^2-5x+2)	\frac{d}{dx}(\ln(x^{2}-5x+2))
integral de (ln(2))/(x^2)	\int\:\frac{\ln(2)}{x^{2}}dx
y^'=((3t^2-e^t))/((2y-5)),y(0)=1	y^{\prime\:}=\frac{(3t^{2}-e^{t})}{(2y-5)},y(0)=1
serie de n=1 a infinity de ln(n+2)	\sum\:_{n=1}^{\infty\:}\ln(n+2)
límite cuando x tiende a 2-de ln(x^2(3-x))	\lim\:_{x\to\:2-}(\ln(x^{2}(3-x)))
área x^2,2-x^2	area\:x^{2},2-x^{2}
límite cuando x tiende a 0 de 1/2	\lim\:_{x\to\:0}(\frac{1}{2})
integral de 0 a 1 de x(1-x)^8	\int\:_{0}^{1}x(1-x)^{8}dx
área f(x)=sin(x),0, pi/2	area\:f(x)=\sin(x),0,\frac{π}{2}
derivada de xe^{5y}	\frac{d}{dx}(xe^{5y})
tangent y=(4x)/(x+3),(1,1)	tangent\:y=\frac{4x}{x+3},(1,1)
integral de x^2e^{x^{3+4}}	\int\:x^{2}e^{x^{3+4}}dx
tangent f(x)=log_{2}(2x^2+14),\at x=5	tangent\:f(x)=\log_{2}(2x^{2}+14),\at\:x=5
límite cuando x tiende a 2 de 0/4	\lim\:_{x\to\:2}(\frac{0}{4})
taylor 1/(x-1),5	taylor\:\frac{1}{x-1},5
tangent y=8x-x^2	tangent\:y=8x-x^{2}
integral de (x+4)^{1/2}	\int\:(x+4)^{\frac{1}{2}}dx
(dy)/(dx)=(sqrt(2x))	\frac{dy}{dx}=(\sqrt{2x})

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