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Problemas populares Cálculo

y^{''}+2y=sin(sqrt(2)t)	y^{\prime\:\prime\:}+2y=\sin(\sqrt{2}t)
derivative tan(4x)	derivative\:\tan(4x)
taylor e^{5x},0	taylor\:e^{5x},0
integral de 1/(sqrt(3-2x^2))	\int\:\frac{1}{\sqrt{3-2x^{2}}}dx
tangent f(x)=3x-12x^3,\at x=0	tangent\:f(x)=3x-12x^{3},\at\:x=0
integral de 13-(x/(40))	\int\:13-(\frac{x}{40})dx
integral de 3x^2+4x-1	\int\:3x^{2}+4x-1dx
derivative (e^{-x})(x^2-x)	derivative\:(e^{-x})(x^{2}-x)
integral de ((x^2))/(sqrt(9+x^2))	\int\:\frac{(x^{2})}{\sqrt{9+x^{2}}}dx
integral de 10\sqrt[3]{x^2}	\int\:10\sqrt[3]{x^{2}}dx
(\partial)/(\partial x)(-e^xsin(y))	\frac{\partial\:}{\partial\:x}(-e^{x}\sin(y))
derivada de e^xsin(6x)	\frac{d}{dx}(e^{x}\sin(6x))
integral de x^2sqrt(x+3)	\int\:x^{2}\sqrt{x+3}dx
taylor cos(2x)	taylor\:\cos(2x)
(\partial)/(\partial z)(x^2+2y+2z)	\frac{\partial\:}{\partial\:z}(x^{2}+2y+2z)
derivada de 7/(x^4)	\frac{d}{dx}(\frac{7}{x^{4}})
x^2y^{''}-11xy^'+36y=0	x^{2}y^{\prime\:\prime\:}-11xy^{\prime\:}+36y=0
(\partial)/(\partial x)(xsin(4x^2y))	\frac{\partial\:}{\partial\:x}(x\sin(4x^{2}y))
derivada de (x+1/x ^2)	\frac{d}{dx}((x+\frac{1}{x})^{2})
(\partial)/(\partial x)(yx+y)	\frac{\partial\:}{\partial\:x}(yx+y)
integral de (x^2+4)/(x^2)	\int\:\frac{x^{2}+4}{x^{2}}dx
integral de sqrt((x-1)/(x+1))	\int\:\sqrt{\frac{x-1}{x+1}}dx
derivative e^{-x}	derivative\:e^{-x}
maclaurin 5cos(pix)	maclaurin\:5\cos(πx)
pendiente (-3,5),(3,5)	slope\:(-3,5),(3,5)
y^'=2x+3	y^{\prime\:}=2x+3
integral de 1 a 2 de x^{-3}	\int\:_{1}^{2}x^{-3}dx
ty^'+(t+1)y=t	ty^{\prime\:}+(t+1)y=t
integral de 6x(3x^2-2)^4	\int\:6x(3x^{2}-2)^{4}dx
integral de 0 a 1/5 de 4arcsin(5y)	\int\:_{0}^{\frac{1}{5}}4\arcsin(5y)dy
derivada de (4e^{2x}-2e^x+1/(2e^{2x)})	\frac{d}{dx}(\frac{4e^{2x}-2e^{x}+1}{2e^{2x}})
(\partial)/(\partial x)(-2ycsc^3(x))	\frac{\partial\:}{\partial\:x}(-2y\csc^{3}(x))
derivada de 2cos^2(x^2+2)	\frac{d}{dx}(2\cos^{2}(x^{2}+2))
integral de 3/2 xe^{-6x}	\int\:\frac{3}{2}xe^{-6x}dx
integral de (x^3)/(sqrt(x^2+144))	\int\:\frac{x^{3}}{\sqrt{x^{2}+144}}dx
derivada de ((x^3)/3)	\frac{d}{dx}(\frac{(x^{3})}{3})
integral de v/(g-kv^2)	\int\:\frac{v}{g-kv^{2}}dv
límite cuando x tiende a 1 de ln(5x)+e^x	\lim\:_{x\to\:1}(\ln(5x)+e^{x})
(dy)/(dx)=(x-3)e^{-2y}	\frac{dy}{dx}=(x-3)e^{-2y}
integral de ln(t+1)	\int\:\ln(t+1)dt
derivada de (sin(x)/(x^5))	\frac{d}{dx}(\frac{\sin(x)}{x^{5}})
derivada de x^4-2x^2+3	\frac{d}{dx}(x^{4}-2x^{2}+3)
tangent y=(x^3-9x)^{10},(3,0)	tangent\:y=(x^{3}-9x)^{10},(3,0)
tangent y=3x^3-3x,(-4,0)	tangent\:y=3x^{3}-3x,(-4,0)
integral de 0 a 3 de (5-5/3 x)^2	\int\:_{0}^{3}(5-\frac{5}{3}x)^{2}dx
pendiente (-10.6)(-5.8)	slope\:(-10.6)(-5.8)
derivada de sqrt(5x-x^2)	\frac{d}{dx}(\sqrt{5x-x^{2}})
límite cuando x tiende a 3 de 7	\lim\:_{x\to\:3}(7)
límite cuando x tiende a 1+de (x^2-1)/(x-1)	\lim\:_{x\to\:1+}(\frac{x^{2}-1}{x-1})
y^'=(2-e^x)/(3+2y)	y^{\prime\:}=\frac{2-e^{x}}{3+2y}
integral de e^{(-x)/(10)}	\int\:e^{\frac{-x}{10}}dx
y^'= y/x+tan(y/x)	y^{\prime\:}=\frac{y}{x}+\tan(\frac{y}{x})
4y^{''}+9y=0,y(0)=2,y^'(0)=3	4y^{\prime\:\prime\:}+9y=0,y(0)=2,y^{\prime\:}(0)=3
derivada de a(2e^{-3x}x-3e^{-3x}x^2)	\frac{d}{dx}(a(2e^{-3x}x-3e^{-3x}x^{2}))
(\partial)/(\partial x)(-sin(4x))	\frac{\partial\:}{\partial\:x}(-\sin(4x))
derivative f(x)=sqrt(x^2+2x+3)	derivative\:f(x)=\sqrt{x^{2}+2x+3}
integral de 4 x/((x+2)^{(1/4))}	\int\:4\frac{x}{(x+2)^{(\frac{1}{4})}}dx
límite cuando x tiende a 1-de 3^{1/x}	\lim\:_{x\to\:1-}(3^{\frac{1}{x}})
(x^2+4)y^'+3xy=x	(x^{2}+4)y^{\prime\:}+3xy=x
límite cuando x tiende a 0 de (e^{ax}-1)/x	\lim\:_{x\to\:0}(\frac{e^{ax}-1}{x})
integral de (7/(x^3))	\int\:(\frac{7}{x^{3}})dx
(\partial)/(\partial x)(x^3e^{sqrt(5xy)})	\frac{\partial\:}{\partial\:x}(x^{3}e^{\sqrt{5xy}})
derivative (e^{4x})^2	derivative\:(e^{4x})^{2}
integral de 1/(x*ln(2x))	\int\:\frac{1}{x\cdot\:\ln(2x)}dx
integral de xsqrt(3x+2)	\int\:x\sqrt{3x+2}dx
(dy)/(dx)=(2x+xy^2)/(4y+yx^2)	\frac{dy}{dx}=\frac{2x+xy^{2}}{4y+yx^{2}}
(x^2-y^2)dx+3xydy=0	(x^{2}-y^{2})dx+3xydy=0
derivative ln(x^2+1)	derivative\:\ln(x^{2}+1)
derivada de ln(\sqrt[3]{x^3+8})	\frac{d}{dx}(\ln(\sqrt[3]{x^{3}+8}))
integral de (2x)/(sqrt(3x+1))	\int\:\frac{2x}{\sqrt{3x+1}}dx
integral de (e^x-26^x)	\int\:(e^{x}-26^{x})dx
derivative 3sqrt(25-x^2)	derivative\:3\sqrt{25-x^{2}}
derivative f(x)=(x^3+2x^2+x+2)/(x+2)	derivative\:f(x)=\frac{x^{3}+2x^{2}+x+2}{x+2}
(\partial)/(\partial x)(10^x)	\frac{\partial\:}{\partial\:x}(10^{x})
integral de-1 a 1 de 5	\int\:_{-1}^{1}5dx
(\partial)/(\partial z)((xy)/(x^2+y^2))	\frac{\partial\:}{\partial\:z}(\frac{xy}{x^{2}+y^{2}})
integral de (4x)/(4x^2-12x+13)	\int\:\frac{4x}{4x^{2}-12x+13}dx
(\partial)/(\partial x)(1+3x^2y^2)	\frac{\partial\:}{\partial\:x}(1+3x^{2}y^{2})
límite cuando x tiende a infinity de (9x-x^2-7x^4)/(x^3+12x)	\lim\:_{x\to\:\infty\:}(\frac{9x-x^{2}-7x^{4}}{x^{3}+12x})
integral de (1-x)x^3(x-2)^2	\int\:(1-x)x^{3}(x-2)^{2}dx
derivada de 5x^{0.5}	\frac{d}{dx}(5x^{0.5})
integral de x/(x^3-1)	\int\:\frac{x}{x^{3}-1}dx
derivada de ln(x-1+cos(x-1))	\frac{d}{dx}(\ln(x-1)+\cos(x-1))
integral de-1 a 1 de 1-x^2	\int\:_{-1}^{1}1-x^{2}dx
integral de (4-3x)^7	\int\:(4-3x)^{7}dx
laplacetransform cos(2(t-pi/2))	laplacetransform\:\cos(2(t-\frac{π}{2}))
integral de-6sin(x)	\int\:-6\sin(x)dx
(dy)/(dx)-4/x y=y^5 1/(x^8)	\frac{dy}{dx}-\frac{4}{x}y=y^{5}\frac{1}{x^{8}}
integral de x/((1+4x^2)^2)	\int\:\frac{x}{(1+4x^{2})^{2}}dx
tangent 7/x	tangent\:\frac{7}{x}
derivada de cosh(cos(x))	\frac{d}{dx}(\cosh(\cos(x)))
límite cuando x tiende a 0 de (sin(2x))/(arcsin(x))	\lim\:_{x\to\:0}(\frac{\sin(2x)}{\arcsin(x)})
derivative (3t^5-1)/(x^2+2)	derivative\:\frac{3t^{5}-1}{x^{2}+2}
integral de 10t^2+7t-9	\int\:10t^{2}+7t-9dt
derivada de sqrt(2x+x^2)	\frac{d}{dx}(\sqrt{2x+x^{2}})
(\partial)/(\partial y)(x^{4y})	\frac{\partial\:}{\partial\:y}(x^{4y})
límite cuando x tiende a-infinity de ((sqrt(5x^2-2)))/(x+3)	\lim\:_{x\to\:-\infty\:}(\frac{(\sqrt{5x^{2}-2})}{x+3})
límite cuando x tiende a 0 de (\|x-1\|-1)/x	\lim\:_{x\to\:0}(\frac{\left\|x-1\right\|-1}{x})
límite cuando x tiende a 3 de 4x^3-5x^2+x-8	\lim\:_{x\to\:3}(4x^{3}-5x^{2}+x-8)
integral de sec^2(x)-csc(x)cot(x)	\int\:\sec^{2}(x)-\csc(x)\cot(x)dx

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