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Problemas populares de Cálculo

(\partial)/(\partial x)(e^{-2x}cos(6y))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cos(6y))
límite cuando x tiende a sqrt(x) de 25	\lim\:_{x\to\:\sqrt{x}}(25)
integral de (4x^3)/(sqrt(x^2+9))	\int\:\frac{4x^{3}}{\sqrt{x^{2}+9}}dx
tangent f(x)=2x^2-2x-2,\at x=1	tangent\:f(x)=2x^{2}-2x-2,\at\:x=1
f^'(x)=cos(cos(x))	f^{\prime\:}(x)=\cos(\cos(x))
serie de n=0 a infinity de n+1(1/9)^n	\sum\:_{n=0}^{\infty\:}n+1(\frac{1}{9})^{n}
(\partial)/(\partial x)(3x^2*cos^2(x-y))	\frac{\partial\:}{\partial\:x}(3x^{2}\cdot\:\cos^{2}(x-y))
integral de x(2x^2-4)^3	\int\:x(2x^{2}-4)^{3}dx
límite cuando x tiende a 8+de (6x)/(x-8)	\lim\:_{x\to\:8+}(\frac{6x}{x-8})
derivada de 3x^{5x}	\frac{d}{dx}(3x^{5x})
integral de xe^{7x}	\int\:xe^{7x}dx
área x^2+y^2=25,y=0	area\:x^{2}+y^{2}=25,y=0
integral de 0 a 2 de 3^x	\int\:_{0}^{2}3^{x}dx
taylor arctan(2x)	taylor\:\arctan(2x)
(\partial)/(\partial y)(x/(x^3-y^7))	\frac{\partial\:}{\partial\:y}(\frac{x}{x^{3}-y^{7}})
integral de ((x^2+x-1))/(x^2-x)	\int\:\frac{(x^{2}+x-1)}{x^{2}-x}dx
derivative f(t)=(cos(t))/t	derivative\:f(t)=\frac{\cos(t)}{t}
(1/(x^2)du)/(dx)-(2u)/(x^3)=-1/(x^2)	\frac{\frac{1}{x^{2}}du}{dx}-\frac{2u}{x^{3}}=-\frac{1}{x^{2}}
integral de (x+1/x)^2	\int\:(x+\frac{1}{x})^{2}dx
y^'=xy^3	y^{\prime\:}=xy^{3}
4y^{''}+6y^'-y=5	4y^{\prime\:\prime\:}+6y^{\prime\:}-y=5
derivada de-(6x/(x^2+1))	\frac{d}{dx}(-\frac{6x}{x^{2}+1})
integral de 9-4x	\int\:9-4xdx
(xy+y^2)dx-x^2dy=0	(xy+y^{2})dx-x^{2}dy=0
límite cuando x tiende a-1 de x^3-x^2-5x+3	\lim\:_{x\to\:-1}(x^{3}-x^{2}-5x+3)
tangent r=3+2sin(θ)	tangent\:r=3+2\sin(θ)
tangent y=xsqrt(x)	tangent\:y=x\sqrt{x}
tangent f(x)=-5x^2,\at a=4	tangent\:f(x)=-5x^{2},\at\:a=4
y^{''}-(2/x)y^'-(7/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{2}{x})y^{\prime\:}-(\frac{7}{x^{2}})y=0
límite cuando x tiende a 1 de sqrt(51-2x)	\lim\:_{x\to\:1}(\sqrt{51-2x})
derivada de ln(sec(x^2))	\frac{d}{dx}(\ln(\sec(x^{2})))
integral de x^{3/4}y^3	\int\:x^{\frac{3}{4}}y^{3}dy
integral de e^{x+y^2}	\int\:e^{x+y^{2}}dx
integral de-2 a 4 de x^2(x^3+8)^2	\int\:_{-2}^{4}x^{2}(x^{3}+8)^{2}dx
integral de ysqrt(10+10y-25y^2)	\int\:y\sqrt{10+10y-25y^{2}}dy
derivada de x^2(1-x)	\frac{d}{dx}(x^{2}(1-x))
límite cuando x tiende a 0 de (ln(1+3x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+3x)}{x})
d/(dy)(-y/(t^2+y^2))	\frac{d}{dy}(-\frac{y}{t^{2}+y^{2}})
integral de-17sin^4(t)cos(t)	\int\:-17\sin^{4}(t)\cos(t)dt
derivada de (sqrt(x)/(3+x))	\frac{d}{dx}(\frac{\sqrt{x}}{3+x})
(\partial)/(\partial t)(cos(t))	\frac{\partial\:}{\partial\:t}(\cos(t))
límite cuando x tiende a 0 de 4sin(x)ln(x)	\lim\:_{x\to\:0}(4\sin(x)\ln(x))
(x^2+1)y^'=-3x(y-1)	(x^{2}+1)y^{\prime\:}=-3x(y-1)
derivative-1/(2x^4)	derivative\:-\frac{1}{2x^{4}}
derivative f(x)=\sqrt[3]{4x^4+5x^3}	derivative\:f(x)=\sqrt[3]{4x^{4}+5x^{3}}
integral de 0 a 18 de 1/30	\int\:_{0}^{18}\frac{1}{30}dx
derivada de (e^xdx)	\frac{d}{dx}((e^{x})dx)
d/(dt)(sin(9t))	\frac{d}{dt}(\sin(9t))
límite cuando x tiende a-infinity de 2x+1	\lim\:_{x\to\:-\infty\:}(2x+1)
límite cuando x tiende a 3+de 2/((x-3))	\lim\:_{x\to\:3+}(\frac{2}{(x-3)})
límite cuando x tiende a 1+de 2-x^2	\lim\:_{x\to\:1+}(2-x^{2})
integral de 1/(7-5x)	\int\:\frac{1}{7-5x}dx
derivada de 100-x	\frac{d}{dx}(100-x)
(\partial)/(\partial x)((x+2)(y+1))	\frac{\partial\:}{\partial\:x}((x+2)(y+1))
derivada de e^{2x}(2cos(3x+3sin(3x)))	\frac{d}{dx}(e^{2x}(2\cos(3x)+3\sin(3x)))
integral de-1 a 1 de \|x\|	\int\:_{-1}^{1}\left\|x\right\|dx
derivative f(x)=e^{arctan(2t^2)}	derivative\:f(x)=e^{\arctan(2t^{2})}
integral de x^2(2x^3+3)^4	\int\:x^{2}(2x^{3}+3)^{4}dx
integral de (x+9)/(sqrt(9-3x-2x^2))	\int\:\frac{x+9}{\sqrt{9-3x-2x^{2}}}dx
límite cuando x tiende a 0 de (1+3/(x^2))^x	\lim\:_{x\to\:0}((1+\frac{3}{x^{2}})^{x})
y^{''}+b^2y=0	y^{\prime\:\prime\:}+b^{2}y=0
y^'=((e^{x-y}))/(1+e^x)	y^{\prime\:}=\frac{(e^{x-y})}{1+e^{x}}
integral de (24)/(x^2)	\int\:\frac{24}{x^{2}}dx
(dy)/(dx)+2xy^5=0	\frac{dy}{dx}+2xy^{5}=0
((x-1)/x)^'	(\frac{x-1}{x})^{\prime\:}
área tan(x),0, pi/4	area\:\tan(x),0,\frac{π}{4}
área y=e^x,y=e^{-2x},x=ln(4)	area\:y=e^{x},y=e^{-2x},x=\ln(4)
10y^{''}+20y^'+6260y=0	10y^{\prime\:\prime\:}+20y^{\prime\:}+6260y=0
derivada de 2xcos(x-x^2sin(x))	\frac{d}{dx}(2x\cos(x)-x^{2}\sin(x))
derivada de sqrt((5x+1/(4x^2+1)))	\frac{d}{dx}(\sqrt{\frac{5x+1}{4x^{2}+1}})
derivada de log_{6}(5x+1)	\frac{d}{dx}(\log_{6}(5x+1))
derivada de (arcsin(x)dx)	\frac{d}{dx}((\arcsin(x))dx)
integral de 1/(9x^2+18x+10)	\int\:\frac{1}{9x^{2}+18x+10}dx
f(x)=sqrt((x+1)/(x-1))	f(x)=\sqrt{\frac{x+1}{x-1}}
f(x)=((3x-1)/(sqrt(2x-3)))	f(x)=(\frac{3x-1}{\sqrt{2x-3}})
integral de 0 a 1-\|x-1\| de 1	\int\:_{0}^{1-\left\|x-1\right\|}1dy
derivada de \sqrt[3]{(x^2-1^2})	\frac{d}{dx}(\sqrt[3]{(x^{2}-1)^{2}})
(\partial)/(\partial x)(-cos^2(x))	\frac{\partial\:}{\partial\:x}(-\cos^{2}(x))
derivada de (x^2/(x-7))	\frac{d}{dx}(\frac{x^{2}}{x-7})
integral de 0 a 1 de 2pi(x+11)(x^2)	\int\:_{0}^{1}2π(x+11)(x^{2})dx
integral de (arctan(x))/(x^2)	\int\:\frac{\arctan(x)}{x^{2}}dx
derivada de (x+1/((x-1)^2))	\frac{d}{dx}(\frac{x+1}{(x-1)^{2}})
integral de x/(x^2+36)	\int\:\frac{x}{x^{2}+36}dx
(\partial)/(\partial x)((3+x^2-3y^2)^{1/2})	\frac{\partial\:}{\partial\:x}((3+x^{2}-3y^{2})^{\frac{1}{2}})
2x((dy)/(dx))-10y=x^{-6}	2x(\frac{dy}{dx})-10y=x^{-6}
taylor x^2e^{3x}	taylor\:x^{2}e^{3x}
y^{''}-6y^'-7y=0,y(0)=b,y^'(0)=8	y^{\prime\:\prime\:}-6y^{\prime\:}-7y=0,y(0)=b,y^{\prime\:}(0)=8
paridad cot^2(sin(x))	parity\:\cot^{2}(\sin(x))
integral de ln(x)x'	\int\:\ln(x)x\prime\:dx
derivada de 3e^{x^2+x}	\frac{d}{dx}(3e^{x^{2}+x})
serie de n=1 a infinity de (e^n)/(pi^n)	\sum\:_{n=1}^{\infty\:}\frac{e^{n}}{π^{n}}
derivada de (5^{x^3}/(4x^2))	\frac{d}{dx}(\frac{5^{x^{3}}}{4x^{2}})
yy^'= 7/x	yy^{\prime\:}=\frac{7}{x}
(1+e^{2x})y^2dy=e^xdx,y(0)=0	(1+e^{2x})y^{2}dy=e^{x}dx,y(0)=0
integral de 2x-1/(1+x^2)	\int\:2x-\frac{1}{1+x^{2}}dx
derivative f(x)=5-\|x-5\|	derivative\:f(x)=5-\left\|x-5\right\|
integral de (x^2+x+1)/(x^2-x)	\int\:\frac{x^{2}+x+1}{x^{2}-x}dx
y^{''}-10y^'+25y=t^{-7}e^{5t}	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=t^{-7}e^{5t}
integral de (6x^4+23x^2+4x+15)/(x^2+3)	\int\:\frac{6x^{4}+23x^{2}+4x+15}{x^{2}+3}dx
derivada de x^2sin^7(x+xcos^{-2}(x))	\frac{d}{dx}(x^{2}\sin^{7}(x)+x\cos^{-2}(x))

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