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Problemas populares Cálculo

(3x^3)^'	(3x^{3})^{\prime\:}
integral de cot^4(x)csc^2(x)	\int\:\cot^{4}(x)\csc^{2}(x)dx
integral de-sin(x)+1/(cos^2(x))	\int\:-\sin(x)+\frac{1}{\cos^{2}(x)}dx
integral de x^2-ln(x^2)+k	\int\:x^{2}-\ln(x^{2})+kdx
integral de 1 a 5 de 1	\int\:_{1}^{5}1dx
integral de x^2*e^{-ax}	\int\:x^{2}\cdot\:e^{-ax}dx
taylor 1/((x-1))	taylor\:\frac{1}{(x-1)}
límite cuando x tiende a 2 de ln(x/(x^2-4))	\lim\:_{x\to\:2}(\ln(\frac{x}{x^{2}-4}))
derivative ay(e^{by})	derivative\:ay(e^{by})
derivative ln(-x)	derivative\:\ln(-x)
integral de (12)/(x^{-1)+3}	\int\:\frac{12}{x^{-1}+3}dx
derivada de 1/(2x+9)	\frac{d}{dx}(\frac{1}{2x+9})
integral de 1 a 4 de (2x+1)	\int\:_{1}^{4}(2x+1)dx
límite cuando x tiende a-2 de sqrt(8+x^2)	\lim\:_{x\to\:-2}(\sqrt{8+x^{2}})
serie de n=1 a infinity de (-1/2)^n	\sum\:_{n=1}^{\infty\:}(-\frac{1}{2})^{n}
y^{''}-y^'-2y=8,y(0)=0,y^'(0)=5	y^{\prime\:\prime\:}-y^{\prime\:}-2y=8,y(0)=0,y^{\prime\:}(0)=5
límite cuando x tiende a 3 de 4^{x^3}-8x	\lim\:_{x\to\:3}(4^{x^{3}}-8x)
límite cuando x tiende a pi-de sin(x)	\lim\:_{x\to\:π-}(\sin(x))
(\partial)/(\partial x)(9-x^2-y^2)	\frac{\partial\:}{\partial\:x}(9-x^{2}-y^{2})
integral de (6x+2)/(3x^2+2x)	\int\:\frac{6x+2}{3x^{2}+2x}dx
integral de 0 a 1 de 1/(sqrt(3-x^2))	\int\:_{0}^{1}\frac{1}{\sqrt{3-x^{2}}}dx
integral de (x^6)/((4-x^7)^2)	\int\:\frac{x^{6}}{(4-x^{7})^{2}}dx
derivada de 7sec(xtan(x))	\frac{d}{dx}(7\sec(x)\tan(x))
integral de 2 a 4 de e^{3x-y}	\int\:_{2}^{4}e^{3x-y}dy
derivada de (3^{2/3}-x^{2/3}^{3/2})	\frac{d}{dx}((3^{\frac{2}{3}}-x^{\frac{2}{3}})^{\frac{3}{2}})
límite cuando x tiende a 0 de (5x^2)/2	\lim\:_{x\to\:0}(\frac{5x^{2}}{2})
y^'+1/t y= 1/(t^2)	y^{\prime\:}+\frac{1}{t}y=\frac{1}{t^{2}}
f(x)=x^2cos(x)	f(x)=x^{2}\cos(x)
integral de e^{(-x/4)}	\int\:e^{(-\frac{x}{4})}dx
derivative x^2+x-8	derivative\:x^{2}+x-8
integral de 7xarcsin(x)	\int\:7x\arcsin(x)dx
límite cuando x tiende a 0 de 9/x-9/(\|x\|)	\lim\:_{x\to\:0}(\frac{9}{x}-\frac{9}{\left\|x\right\|})
integral de ((sin(ln(x))))/x	\int\:\frac{(\sin(\ln(x)))}{x}dx
4y^{''}+4y^'-3y=cos(2x)	4y^{\prime\:\prime\:}+4y^{\prime\:}-3y=\cos(2x)
integral de 2 a 3 de (26)/(sqrt(3-x))	\int\:_{2}^{3}\frac{26}{\sqrt{3-x}}dx
derivative f(x)=(e^x)/(8x^2+3)	derivative\:f(x)=\frac{e^{x}}{8x^{2}+3}
serie de n=1 a infinity de (4^n)/(6^n)	\sum\:_{n=1}^{\infty\:}\frac{4^{n}}{6^{n}}
integral de (((x)^2-5)^52x)	\int\:(((x)^{2}-5)^{5}2x)dx
límite cuando x tiende a-1+de ln\|x+1\|	\lim\:_{x\to\:-1+}(\ln\left\|x+1\right\|)
derivada de x^2e^{(-x/(10)})	\frac{d}{dx}(x^{2}e^{\frac{-x}{10}})
tangent f(x)= x/(x^2-15),\at x=4	tangent\:f(x)=\frac{x}{x^{2}-15},\at\:x=4
y^{''}+25y^'=0	y^{\prime\:\prime\:}+25y^{\prime\:}=0
derivative f(x)=7e^{x^2-5x+6}	derivative\:f(x)=7e^{x^{2}-5x+6}
integral de (10x+4)sqrt(5x^2+4x)	\int\:(10x+4)\sqrt{5x^{2}+4x}dx
límite cuando x tiende a 1 de sqrt(1-x)	\lim\:_{x\to\:1}(\sqrt{1-x})
simplificar 1/2 \sqrt[3]{x}	simplify\:\frac{1}{2}\sqrt[3]{x}
y^{''}+16y=csc^2(4t)	y^{\prime\:\prime\:}+16y=\csc^{2}(4t)
integral de 1 a 9 de 2/(x^3)	\int\:_{1}^{9}\frac{2}{x^{3}}dx
integral de-2e^{3x}+5/x	\int\:-2e^{3x}+\frac{5}{x}dx
límite cuando x tiende a 0 de 18+(20)/(x^3)	\lim\:_{x\to\:0}(18+\frac{20}{x^{3}})
integral de 1/((4x+3)^2)	\int\:\frac{1}{(4x+3)^{2}}dx
integral de-xsin(z)	\int\:-x\sin(z)dz
integral de (2+x+x^2+3x^3)	\int\:(2+x+x^{2}+3x^{3})dx
derivada de (x+5/(x-3))	\frac{d}{dx}(\frac{x+5}{x-3})
d/(dy)(y^{4/5})	\frac{d}{dy}(y^{\frac{4}{5}})
y^'=y(xy^4+5)	y^{\prime\:}=y(xy^{4}+5)
integral de 1 a 7 de (x^2-4x-12)	\int\:_{1}^{7}(x^{2}-4x-12)dx
derivada de {f}(x(x)^{-1}(x^2))	\frac{d}{dx}({f}(x)(x)^{-1}(x^{2}))
integral de 0 a 1 de pi(5x^2)^2	\int\:_{0}^{1}π(5x^{2})^{2}dx
integral de x-csc(x)cot(x)	\int\:x-\csc(x)\cot(x)dx
integral de (sin(7x))	\int\:(\sin(7x))dx
derivada de 1/2 ln(2x)	\frac{d}{dx}(\frac{1}{2}\ln(2x))
(dy)/(dt)=(15-(3y)/(360-2t))	\frac{dy}{dt}=(15-\frac{3y}{360-2t})
(\partial)/(\partial v)(ucos(v))	\frac{\partial\:}{\partial\:v}(u\cos(v))
integral de-pi a 2pi de cos^2(x)	\int\:_{-π}^{2π}\cos^{2}(x)dx
límite cuando x tiende a 0 de e^{1/x ln(1+x^2)}	\lim\:_{x\to\:0}(e^{\frac{1}{x}\ln(1+x^{2})})
(\partial)/(\partial x)(ln(x/(x+2)))	\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{x+2}))
integral de (3x^2-2)/(x^2-2x-8)	\int\:\frac{3x^{2}-2}{x^{2}-2x-8}dx
integral de (y-4)^2	\int\:(y-4)^{2}dy
derivada de (x^2/(x-6))	\frac{d}{dx}(\frac{x^{2}}{x-6})
(\partial)/(\partial x)((xy)/(sqrt(1+xy^2)))	\frac{\partial\:}{\partial\:x}(\frac{xy}{\sqrt{1+xy^{2}}})
derivada de ae^{2x}+be^x	\frac{d}{dx}(ae^{2x}+be^{x})
(\partial)/(\partial z)(e^xsin(yz))	\frac{\partial\:}{\partial\:z}(e^{x}\sin(yz))
integral de 10sin^3(x)cos^7(x)	\int\:10\sin^{3}(x)\cos^{7}(x)dx
(\partial)/(\partial x)(y^2-e^{xy})	\frac{\partial\:}{\partial\:x}(y^{2}-e^{xy})
inverselaplace s/(s^4+1)	inverselaplace\:\frac{s}{s^{4}+1}
derivative y/x	derivative\:\frac{y}{x}
((100)/(log_{10)(2x+1)})^'	(\frac{100}{\log_{10}(2x+1)})^{\prime\:}
f(x)=x^3e^{2x}	f(x)=x^{3}e^{2x}
límite cuando x tiende a 1 de x^{3/(1-x)}	\lim\:_{x\to\:1}(x^{\frac{3}{1-x}})
y^{''}-5y^'-6y=0,y(0)=5,y^'(0)=12	y^{\prime\:\prime\:}-5y^{\prime\:}-6y=0,y(0)=5,y^{\prime\:}(0)=12
integral de 1/(10x^{1/2)-x}	\int\:\frac{1}{10x^{\frac{1}{2}}-x}dx
integral de 1/((1-x)^2)	\int\:\frac{1}{(1-x)^{2}}dx
integral de (3y^2-t^2)/(y^5)	\int\:\frac{3y^{2}-t^{2}}{y^{5}}dy
derivada de ln(9x^2)	\frac{d}{dx}(\ln(9)x^{2})
límite cuando x tiende a-8-de (-5x)/(x+8)	\lim\:_{x\to\:-8-}(\frac{-5x}{x+8})
integral de 3 a 9 de (1+x^2)	\int\:_{3}^{9}(1+x^{2})dx
integral de (24)/((x-2)(x^2+4))	\int\:\frac{24}{(x-2)(x^{2}+4)}dx
integral de 0 a 1 de (x^2)/(x^3-1)	\int\:_{0}^{1}\frac{x^{2}}{x^{3}-1}dx
derivative y=e^{5x}	derivative\:y=e^{5x}
maclaurin ln(cos(x))	maclaurin\:\ln(\cos(x))
límite cuando x tiende a 2 de x^2-5x+6	\lim\:_{x\to\:2}(x^{2}-5x+6)
derivative (7x^2-12x)e^x	derivative\:(7x^{2}-12x)e^{x}
derivada de x^3(4-x)	\frac{d}{dx}(x^{3}(4-x))
serie de n=0 a infinity de 4/(n(n+2))	\sum\:_{n=0}^{\infty\:}\frac{4}{n(n+2)}
serie de n=0 a infinity de ((5^n))/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(5^{n})}{n!}
derivative tan^2(θ)	derivative\:\tan^{2}(θ)
integral de (w^2)/((w^2+7)^2)	\int\:\frac{w^{2}}{(w^{2}+7)^{2}}dw
y^'=-(2x)/y ,y(1)=10	y^{\prime\:}=-\frac{2x}{y},y(1)=10
límite cuando x tiende a 8 de x^{-1}	\lim\:_{x\to\:8}(x^{-1})

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