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Problemas populares Cálculo

2y^{''}-9y^'+4y=0	2y^{\prime\:\prime\:}-9y^{\prime\:}+4y=0
derivative f(x)=x^6e^x	derivative\:f(x)=x^{6}e^{x}
paridad y=e^{-2x}*tan(8x)	parity\:y=e^{-2x}\cdot\:\tan(8x)
límite cuando x tiende a 0 de (3sin(3x))/x	\lim\:_{x\to\:0}(\frac{3\sin(3x)}{x})
área x,sin(x),[ pi/2 ,pi]	area\:x,\sin(x),[\frac{π}{2},π]
y^{''}+3y=1	y^{\prime\:\prime\:}+3y=1
(xy-y)dy-(y+1)dx=0	(xy-y)dy-(y+1)dx=0
integral de sin(x)cos^2(x)+sin^3(x)	\int\:\sin(x)\cos^{2}(x)+\sin^{3}(x)dx
(\partial)/(\partial y)((e^{2-x})/(y^2))	\frac{\partial\:}{\partial\:y}(\frac{e^{2-x}}{y^{2}})
derivada de (2+x^3/(2-x^3))	\frac{d}{dx}(\frac{2+x^{3}}{2-x^{3}})
f(x)=tan(x)-sin(x)	f(x)=\tan(x)-\sin(x)
integral de 2xln(6x)	\int\:2x\ln(6x)dx
integral de sec(x)cot(x)	\int\:\sec(x)\cot(x)dx
integral de 0 a 1 de x^4-x	\int\:_{0}^{1}x^{4}-xdx
integral de 1-cos^2(θ)	\int\:1-\cos^{2}(θ)dθ
derivada de sqrt(7x+2)	\frac{d}{dx}(\sqrt{7x+2})
y^'+y=e^{-t}ln(t)	y^{\prime\:}+y=e^{-t}\ln(t)
derivada de (ln(x+y)/(ln(y)))	\frac{d}{dx}(\frac{\ln(x+y)}{\ln(y)})
serie de n=1 a infinity de 1/(n^{5/2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{5}{2}}}
inverselaplace 4/((s(s^2+4)))	inverselaplace\:\frac{4}{(s(s^{2}+4))}
pendiente (-1,-7),(3,9)	slope\:(-1,-7),(3,9)
serie de n=0 a infinity de 9(-0.8)^n	\sum\:_{n=0}^{\infty\:}9(-0.8)^{n}
derivada de 1/3 (2+x^2^{3/2})	\frac{d}{dx}(\frac{1}{3}(2+x^{2})^{\frac{3}{2}})
integral de 1 a 5 de 4/(x^2)	\int\:_{1}^{5}\frac{4}{x^{2}}dx
d/(dy)(arctan(y))	\frac{d}{dy}(\arctan(y))
integral de tan(g)(x)	\int\:\tan(g)(x)dx
integral de cosh(t)	\int\:\cosh(t)dt
derivative (x+5)/(x+1)	derivative\:\frac{x+5}{x+1}
integral de 8x^3+5	\int\:8x^{3}+5dx
y^'+1/2 y=8	y^{\prime\:}+\frac{1}{2}y=8
integral de (3x^2-2)/((x^3-2x)^7)	\int\:\frac{3x^{2}-2}{(x^{3}-2x)^{7}}dx
integral de x^{-p}	\int\:x^{-p}dx
(\partial)/(\partial x)(6x^7y^5z^6)	\frac{\partial\:}{\partial\:x}(6x^{7}y^{5}z^{6})
integral de e^{-st}t^4	\int\:e^{-st}t^{4}dt
integral de sqrt(1-x^2)x	\int\:\sqrt{1-x^{2}}xdx
área \|20x+x^2-x^3\|,y=0,[-4,5]	area\:\left\|20x+x^{2}-x^{3}\right\|,y=0,[-4,5]
área x^2+4x-5,-x^2+4x+3	area\:x^{2}+4x-5,-x^{2}+4x+3
límite cuando x tiende a 1 de 4x^2	\lim\:_{x\to\:1}(4x^{2})
derivada de-(2(-3x^2+1)/((1+x^2)^3))	\frac{d}{dx}(-\frac{2(-3x^{2}+1)}{(1+x^{2})^{3}})
tangent sqrt((x^4-x+1)/(x^4+x+1))	tangent\:\sqrt{\frac{x^{4}-x+1}{x^{4}+x+1}}
(\partial)/(\partial y)(x^2+xy+3x+2y+5)	\frac{\partial\:}{\partial\:y}(x^{2}+xy+3x+2y+5)
derivada de 1/(x^2+16)	\frac{d}{dx}(\frac{1}{x^{2}+16})
integral de 0 a 4 de sqrt(4x+9)	\int\:_{0}^{4}\sqrt{4x+9}dx
integral de-9 a 9 de 81-x^2	\int\:_{-9}^{9}81-x^{2}dx
laplacetransform 4t^2-3cos(2t)+5e^{-t}	laplacetransform\:4t^{2}-3\cos(2t)+5e^{-t}
área x-1,sqrt(x-1)	area\:x-1,\sqrt{x-1}
derivada de sqrt(\|x\|)	\frac{d}{dx}(\sqrt{\left\|x\right\|})
integral de 1 a 2 de (3x-2)^2	\int\:_{1}^{2}(3x-2)^{2}dx
xy^'+y=-9xy^2,y(1)=-4	xy^{\prime\:}+y=-9xy^{2},y(1)=-4
integral de 0 a pi/5 de sin^4(5x)	\int\:_{0}^{\frac{π}{5}}\sin^{4}(5x)dx
y^'+y= 1/(1+t^2)	y^{\prime\:}+y=\frac{1}{1+t^{2}}
límite cuando x tiende a 0 de x^2ln(4x^2)	\lim\:_{x\to\:0}(x^{2}\ln(4x^{2}))
derivative 1/(4s^3)	derivative\:\frac{1}{4s^{3}}
(\partial)/(\partial x)(1-x^2-x-3y^2+y)	\frac{\partial\:}{\partial\:x}(1-x^{2}-x-3y^{2}+y)
(\partial)/(\partial x)(xy-4x^2y)	\frac{\partial\:}{\partial\:x}(xy-4x^{2}y)
y^'=4y+x^2+9	y^{\prime\:}=4y+x^{2}+9
integral de (3^x-sec^2(x))	\int\:(3^{x}-\sec^{2}(x))dx
(dy)/(dx)=-4x+6x^2	\frac{dy}{dx}=-4x+6x^{2}
límite cuando x tiende a 4 de x^2+1	\lim\:_{x\to\:4}(x^{2}+1)
derivative sqrt(e^x)	derivative\:\sqrt{e^{x}}
derivative f(x)=(x^3)/6+1/(2x)	derivative\:f(x)=\frac{x^{3}}{6}+\frac{1}{2x}
derivada de (1+cos(x)/(sin(x)))	\frac{d}{dx}(\frac{1+\cos(x)}{\sin(x)})
(\partial)/(\partial x)(3x-sqrt(3y^2+z^2))	\frac{\partial\:}{\partial\:x}(3x-\sqrt{3y^{2}+z^{2}})
integral de (x-e^{-x})^2	\int\:(x-e^{-x})^{2}dx
tangent f(x)=(x^2)/(x-7)	tangent\:f(x)=\frac{x^{2}}{x-7}
derivada de 5x-6	\frac{d}{dx}(5x-6)
integral de (x+15)/(x^2+16x+68)	\int\:\frac{x+15}{x^{2}+16x+68}dx
integral de xsec^3(x^2)	\int\:x\sec^{3}(x^{2})dx
derivada de (4x-6/(x-6))	\frac{d}{dx}(\frac{4x-6}{x-6})
derivative f(x)=(cos(e^x))/(x^4+1)	derivative\:f(x)=\frac{\cos(e^{x})}{x^{4}+1}
área 2sqrt(x),(2x)/3	area\:2\sqrt{x},\frac{2x}{3}
integral de (x^2+1)/(xsqrt(1+x^4))	\int\:\frac{x^{2}+1}{x\sqrt{1+x^{4}}}dx
d/(dt)(e^{2t}cos(2t))	\frac{d}{dt}(e^{2t}\cos(2t))
derivative 8x^4ln(6x)	derivative\:8x^{4}\ln(6x)
integral de cot(x)cos^2(x)	\int\:\cot(x)\cos^{2}(x)dx
derivada de (x^2-1^4)	\frac{d}{dx}((x^{2}-1)^{4})
integral de (x^2+4)/((x-5)(x^2+9))	\int\:\frac{x^{2}+4}{(x-5)(x^{2}+9)}dx
límite cuando x tiende a 0 de ln(x)*x	\lim\:_{x\to\:0}(\ln(x)\cdot\:x)
integral de (x^2+1)/((x-4)(x-3)^2)	\int\:\frac{x^{2}+1}{(x-4)(x-3)^{2}}dx
integral de (x/3)^n	\int\:(\frac{x}{3})^{n}dx
derivative (x^4-3)^3(x^2+6)^5	derivative\:(x^{4}-3)^{3}(x^{2}+6)^{5}
derivada de 4x^{5/4}+2x^{3/2}+5x	\frac{d}{dx}(4x^{\frac{5}{4}}+2x^{\frac{3}{2}}+5x)
derivative 15000e^{-0.6x}	derivative\:15000e^{-0.6x}
límite cuando x tiende a 2-de 5x^3-2/(x-2)	\lim\:_{x\to\:2-}(5x^{3}-\frac{2}{x-2})
derivative 9	derivative\:9
integral de-6 a 6 de 1/v	\int\:_{-6}^{6}\frac{1}{v}dv
derivative y=ln(sqrt(2^3))	derivative\:y=\ln(\sqrt{2^{3}})
derivada de (x^2/(sin(x)))	\frac{d}{dx}(\frac{x^{2}}{\sin(x)})
serie de n=1 a infinity de (3n)x^n	\sum\:_{n=1}^{\infty\:}(3n)x^{n}
(\partial)/(\partial x)(9xy^2)	\frac{\partial\:}{\partial\:x}(9xy^{2})
integral de 0 a 2 de (1-2x)	\int\:_{0}^{2}(1-2x)dx
integral de (2x^3+x^2+8x-12)/(x^3+4x)	\int\:\frac{2x^{3}+x^{2}+8x-12}{x^{3}+4x}dx
pendiente (0)(1.2)	slope\:(0)(1.2)
laplacetransform 35t^2	laplacetransform\:35t^{2}
(dy)/(dx)=(4(1-y)^2)/((1-2x)^2)	\frac{dy}{dx}=\frac{4(1-y)^{2}}{(1-2x)^{2}}
derivada de sqrt(1+1/(x^2))	\frac{d}{dx}(\sqrt{1+\frac{1}{x^{2}}})
derivada de-6sin(2x)	\frac{d}{dx}(-6\sin(2x))
derivada de (sqrt(81+x^2)/3+(15-x)/5)	\frac{d}{dx}(\frac{\sqrt{81+x^{2}}}{3}+\frac{15-x}{5})
(\partial)/(\partial x)(-5ycos(-9x))	\frac{\partial\:}{\partial\:x}(-5y\cos(-9x))
límite cuando x tiende a infinity de 7-e^x	\lim\:_{x\to\:\infty\:}(7-e^{x})

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