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Problemas populares de Cálculo

(dy)/(dx)0.4xy=9x	\frac{dy}{dx}0.4xy=9x
integral de (2x-11)/(x^2(x+2))	\int\:\frac{2x-11}{x^{2}(x+2)}dx
y^'-2y=3e^x	y^{\prime\:}-2y=3e^{x}
integral de 2 a 10 de (x^2+36)/(12x)	\int\:_{2}^{10}\frac{x^{2}+36}{12x}dx
x^{'''}-x^{''}-x^'+x=2e^{-t}+3	x^{\prime\:\prime\:\prime\:}-x^{\prime\:\prime\:}-x^{\prime\:}+x=2e^{-t}+3
(\partial)/(\partial x)(8x-2y-2)	\frac{\partial\:}{\partial\:x}(8x-2y-2)
(\partial)/(\partial y)(y/z)	\frac{\partial\:}{\partial\:y}(\frac{y}{z})
integral de 20xsin(5x^2-3)	\int\:20x\sin(5x^{2}-3)dx
tangent f(x)= 9/(x^2),\at x=-1	tangent\:f(x)=\frac{9}{x^{2}},\at\:x=-1
tangent f(x)=sqrt(2-4x),\at x=-1	tangent\:f(x)=\sqrt{2-4x},\at\:x=-1
derivative f(x)=n(n^2+3n-4)^7	derivative\:f(x)=n(n^{2}+3n-4)^{7}
integral de 56xe^{4x^2}	\int\:56xe^{4x^{2}}dx
derivative f(z)=e^{5*z^2}	derivative\:f(z)=e^{5\cdot\:z^{2}}
inversalaplace (10-4s)/((s-2)^2)	inverselaplace\:\frac{10-4s}{(s-2)^{2}}
(\partial)/(\partial x)(-2xe^{-2xy})	\frac{\partial\:}{\partial\:x}(-2xe^{-2xy})
integral de 0 a pi de sec^2(t/4)	\int\:_{0}^{π}\sec^{2}(\frac{t}{4})dt
integral de xarcsin(x)	\int\:x\arcsin(x)dx
derivada de (cos(x)^{-1})	\frac{d}{dx}((\cos(x))^{-1})
integral de (-14sin(x))	\int\:(-14\sin(x))dx
derivada de ln(3x^2+2)	\frac{d}{dx}(\ln(3x^{2}+2))
integral de 0 a infinity de e^{-0.4x}	\int\:_{0}^{\infty\:}e^{-0.4x}dx
integral de e^x+e^{-x}	\int\:e^{x}+e^{-x}dx
integral de (2xy+4x^3)	\int\:(2xy+4x^{3})dx
límite cuando x tiende a 0+de (ln(x))/x	\lim\:_{x\to\:0+}(\frac{\ln(x)}{x})
integral de cot(43x)	\int\:\cot(43x)dx
pendiente y=(3x-1)^2	slope\:y=(3x-1)^{2}
serie de n=0 a infinity de (1-p)^n	\sum\:_{n=0}^{\infty\:}(1-p)^{n}
integral de 3tan(2x)	\int\:3\tan(2x)dx
derivative f(-4)=-5x+2	derivative\:f(-4)=-5x+2
(dy)/(dx)=y+1	\frac{dy}{dx}=y+1
f(y)= y/2	f(y)=\frac{y}{2}
(\partial)/(\partial x)((x^2+y^2)e^{-y})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})e^{-y})
y^'=(2xy)/(x^2-y^2),y(1)=1	y^{\prime\:}=\frac{2xy}{x^{2}-y^{2}},y(1)=1
derivative y=(x^5+1)^8	derivative\:y=(x^{5}+1)^{8}
integral de 2x+2x^{-2}	\int\:2x+2x^{-2}dx
integral de x/(6+pi)	\int\:\frac{x}{6+π}dx
derivada de (x^2*ln(x))	\frac{d}{dx}((x^{2})\cdot\:\ln(x))
derivative f(x)=(x^2)/(9+2x)	derivative\:f(x)=\frac{x^{2}}{9+2x}
integral de 0 a 1 de pi(x-x^{10})	\int\:_{0}^{1}π(x-x^{10})dx
derivada de 3x^2e^x+x^3e^x	\frac{d}{dx}(3x^{2}e^{x}+x^{3}e^{x})
derivative 4x^3-12x^2	derivative\:4x^{3}-12x^{2}
derivada de e^{7x-4}	\frac{d}{dx}(e^{7x-4})
integral de 3sin^2(4x)	\int\:3\sin^{2}(4x)dx
(dy)/(dx)=2(x+1)-y	\frac{dy}{dx}=2(x+1)-y
derivada de-(18/(x^3)+3/(x^2))	\frac{d}{dx}(-\frac{18}{x^{3}}+\frac{3}{x^{2}})
9(t+1)y^'-7y=14t	9(t+1)y^{\prime\:}-7y=14t
2y+sin(2t)=(dy)/(dt)	2y+\sin(2t)=\frac{dy}{dt}
(dy)/(dx)+ycos(x)=4cos(x)	\frac{dy}{dx}+y\cos(x)=4\cos(x)
(\partial)/(\partial x)(x+z)	\frac{\partial\:}{\partial\:x}(x+z)
derivada de x^{2/3}y^{1/3}	\frac{d}{dx}(x^{\frac{2}{3}}y^{\frac{1}{3}})
integral de (6x-4)	\int\:(6x-4)dx
f(x)=arctan(1/x)	f(x)=\arctan(\frac{1}{x})
f(x)=3x-5	f(x)=3x-5
(d^7)/(dx^7)((2x+5)^7)	\frac{d^{7}}{dx^{7}}((2x+5)^{7})
integral de (-x)/y	\int\:\frac{-x}{y}dx
derivative f(x)=9-4x	derivative\:f(x)=9-4x
derivative y=ln(1/e)	derivative\:y=\ln(\frac{1}{e})
pendiente 3x-x^2	slope\:3x-x^{2}
derivative (s^2+1/s)^{3/2}	derivative\:(s^{2}+\frac{1}{s})^{\frac{3}{2}}
límite cuando x tiende a 1+de (x+8)/(x-1)	\lim\:_{x\to\:1+}(\frac{x+8}{x-1})
integral de-1/(t-2)	\int\:-\frac{1}{t-2}dt
y^'+4xy^2=0	y^{\prime\:}+4xy^{2}=0
(dy)/(1+4y^2)=-(xdx)/(1+x^4)	\frac{dy}{1+4y^{2}}=-\frac{xdx}{1+x^{4}}
integral de (5x-1)/((x+1)(x-2))	\int\:\frac{5x-1}{(x+1)(x-2)}dx
tangent x^9,\at x=1	tangent\:x^{9},\at\:x=1
integral de 4/((x-1)(x+3))	\int\:\frac{4}{(x-1)(x+3)}dx
tangent f(x)=x^2sqrt(x^3+1),\at x=5	tangent\:f(x)=x^{2}\sqrt{x^{3}+1},\at\:x=5
inversalaplace (4s)/((s^2+16))	inverselaplace\:\frac{4s}{(s^{2}+16)}
límite cuando x tiende a 0 de 18-x^2	\lim\:_{x\to\:0}(18-x^{2})
integral de (xe^x)/((1+x)^2)	\int\:\frac{xe^{x}}{(1+x)^{2}}dx
límite cuando x tiende a infinity de 8/(x!)	\lim\:_{x\to\:\infty\:}(\frac{8}{x!})
derivative y=ln(x+3)	derivative\:y=\ln(x+3)
integral de 2 a 6 de x^2+1	\int\:_{2}^{6}x^{2}+1dx
derivative-1/x-1/(x^2)+1/(x^3)	derivative\:-\frac{1}{x}-\frac{1}{x^{2}}+\frac{1}{x^{3}}
inversalaplace (s+1)/(s(s+2)(s+4))	inverselaplace\:\frac{s+1}{s(s+2)(s+4)}
inversalaplace 1/(s^2(s-3)^2)	inverselaplace\:\frac{1}{s^{2}(s-3)^{2}}
integral de 1/(t-2)	\int\:\frac{1}{t-2}dt
integral de (3x^3)/(sqrt(4-x^2))	\int\:\frac{3x^{3}}{\sqrt{4-x^{2}}}dx
integral de 1/(x^n)	\int\:\frac{1}{x^{n}}dx
integral de t^3e^{-2t}	\int\:t^{3}e^{-2t}dt
derivada de piln(e)	\frac{d}{dx}(π\ln(e))
integral de arccot(y)	\int\:\arccot(y)dy
límite cuando x tiende a 0 de (3x^2-x)/x	\lim\:_{x\to\:0}(\frac{3x^{2}-x}{x})
integral de 1/(8+x^3)	\int\:\frac{1}{8+x^{3}}dx
integral de 1/(x*sqrt(9-4x^2))	\int\:\frac{1}{x\cdot\:\sqrt{9-4x^{2}}}dx
(sin(5t))^'	(\sin(5t))^{\prime\:}
integral de 1/(36e^{-3x)+e^{3x}}	\int\:\frac{1}{36e^{-3x}+e^{3x}}dx
derivada de tan(x-sin(x))	\frac{d}{dx}(\tan(x)-\sin(x))
derivative h(x)=-6x^{-2}	derivative\:h(x)=-6x^{-2}
maclaurin 2/((1-x)^3)	maclaurin\:\frac{2}{(1-x)^{3}}
integral de (3r^2)/(r+7)	\int\:\frac{3r^{2}}{r+7}dr
inversalaplace s/(s^2-2s-3)	inverselaplace\:\frac{s}{s^{2}-2s-3}
derivative y=4+9sqrt(x)	derivative\:y=4+9\sqrt{x}
y^'=y-y^3	y^{\prime\:}=y-y^{3}
laplacetransformación sin(3t)cos(5t)	laplacetransform\:\sin(3t)\cos(5t)
(2x-1)dx+(5y+8)dy=0	(2x-1)dx+(5y+8)dy=0
integral de 0 a 1/3 de 3/(1+9x^2)	\int\:_{0}^{\frac{1}{3}}\frac{3}{1+9x^{2}}dx
integral de-5 a 1 de \|x+3\|	\int\:_{-5}^{1}\left\|x+3\right\|dx
(\partial ^2)/(\partial y^2)(x^2+y^2)	\frac{\partial\:^{2}}{\partial\:y^{2}}(x^{2}+y^{2})
y^'+9x^{-1}y=x^7,y(1)=8	y^{\prime\:}+9x^{-1}y=x^{7},y(1)=8

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