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Problemas populares

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Problemas populares Cálculo

integral de sqrt(x^7)sin(1+x^{9/2})	\int\:\sqrt{x^{7}}\sin(1+x^{\frac{9}{2}})dx
límite cuando x tiende a-infinity de 2^x+3	\lim\:_{x\to\:-\infty\:}(2^{x}+3)
y^{''}-y^'+1/4 y=5+e^{x/2}	y^{\prime\:\prime\:}-y^{\prime\:}+\frac{1}{4}y=5+e^{\frac{x}{2}}
derivative x^2(1-8x)	derivative\:x^{2}(1-8x)
límite cuando t tiende a 0 de tan(7t)	\lim\:_{t\to\:0}(\tan(7t))
integral de-6 a 6 de (6-\|x\|)	\int\:_{-6}^{6}(6-\left\|x\right\|)dx
f(x)=sqrt(tan(x^2))	f(x)=\sqrt{\tan(x^{2})}
integral de 20e^{5x}	\int\:20e^{5x}dx
integral de 0 a 1 de 2pi(x+9)x^2	\int\:_{0}^{1}2π(x+9)x^{2}dx
(1+y)dx-(1-x)dy=0	(1+y)dx-(1-x)dy=0
límite cuando x tiende a 10 de x/2	\lim\:_{x\to\:10}(\frac{x}{2})
derivative y=e^{7x+1}	derivative\:y=e^{7x+1}
integral de x^2*(1+2x^3)^5	\int\:x^{2}\cdot\:(1+2x^{3})^{5}dx
derivada de 9sqrt(x)-1/x	\frac{d}{dx}(9\sqrt{x}-\frac{1}{x})
laplacetransform e^{20t}	laplacetransform\:e^{20t}
y^{''}-16y^'+64y=0,y(0)=1,y(1)=0	y^{\prime\:\prime\:}-16y^{\prime\:}+64y=0,y(0)=1,y(1)=0
límite cuando x tiende a 0 de (1-2x)^{3/x}	\lim\:_{x\to\:0}((1-2x)^{\frac{3}{x}})
derivative ln(361sin^2(x))	derivative\:\ln(361\sin^{2}(x))
(x+y)dx+xdy=0	(x+y)dx+xdy=0
integral de 1/5 cos(5x)	\int\:\frac{1}{5}\cos(5x)dx
límite cuando x tiende a infinity de coth(x)	\lim\:_{x\to\:\infty\:}(\coth(x))
derivative f(x)=(5x-7)/(6x-9)	derivative\:f(x)=\frac{5x-7}{6x-9}
integral de xe^{tx}	\int\:xe^{tx}dx
derivada de (-12x/((x^2+3)^2))	\frac{d}{dx}(\frac{-12x}{(x^{2}+3)^{2}})
derivative 2x^2-6x+3	derivative\:2x^{2}-6x+3
integral de 2 a 3 de (27)/(sqrt(3-x))	\int\:_{2}^{3}\frac{27}{\sqrt{3-x}}dx
serie de n=2 a infinity de e^{3-6n}	\sum\:_{n=2}^{\infty\:}e^{3-6n}
derivada de 3/(2x+7)	\frac{d}{dx}(\frac{3}{2x+7})
integral de-2 a 2 de (10)/(x^2-2x-24)	\int\:_{-2}^{2}\frac{10}{x^{2}-2x-24}dx
f(x)=1-2cos(x)	f(x)=1-2\cos(x)
integral de cot(x/9)	\int\:\cot(\frac{x}{9})dx
derivative x/((x^2+sqrt(3x))^5)	derivative\:\frac{x}{(x^{2}+\sqrt{3x})^{5}}
límite cuando x tiende a infinity de xn(x)	\lim\:_{x\to\:\infty\:}(xn(x))
tangent f(x)=x^4-3x^2+2,\at x=1	tangent\:f(x)=x^{4}-3x^{2}+2,\at\:x=1
d/(dt)(4/3 pit^3)	\frac{d}{dt}(\frac{4}{3}πt^{3})
integral de (sin^2(2x))(cos^4(2x))	\int\:(\sin^{2}(2x))(\cos^{4}(2x))dx
derivative x^2-8	derivative\:x^{2}-8
derivative h(x)=(-3x+2)^4(-2x+3)^3	derivative\:h(x)=(-3x+2)^{4}(-2x+3)^{3}
derivative f(x)=-8xsin(4x^2+1)	derivative\:f(x)=-8x\sin(4x^{2}+1)
integral de (x+3)/(sqrt(5-4x-x^2))	\int\:\frac{x+3}{\sqrt{5-4x-x^{2}}}dx
(d^2)/(dx^2)(((x+b)(x-a))/((x-b)))	\frac{d^{2}}{dx^{2}}(\frac{(x+b)(x-a)}{(x-b)})
(cos(x)sin(x)-xy^22)dx+y(1-x^2)dy=0	(\cos(x)\sin(x)-xy^{2}2)dx+y(1-x^{2})dy=0
derivative (3x)/(2-cot(x))	derivative\:\frac{3x}{2-\cot(x)}
d/(d{z)}(e^{3{x}+4{y}}cos(5{z}))	\frac{d}{d{z}}(e^{3{x}+4{y}}\cos(5{z}))
integral de t-1 a t de (1-t+x)*x	\int\:_{t-1}^{t}(1-t+x)\cdot\:xdx
integral de sin((pix^2)/2)	\int\:\sin(\frac{πx^{2}}{2})dx
integral de e^x(x^2-2x+2)	\int\:e^{x}(x^{2}-2x+2)dx
derivative arctan(x^4)	derivative\:\arctan(x^{4})
derivada de sin(1+x^2)	\frac{d}{dx}(\sin(1+x^{2}))
límite cuando x tiende a-4-de \|x+4\|-2x	\lim\:_{x\to\:-4-}(\left\|x+4\right\|-2x)
integral de x(x+5)^{21}	\int\:x(x+5)^{21}dx
integral de sin(7x)cos(2x)	\int\:\sin(7x)\cos(2x)dx
derivative \sqrt[3]{t^2}+2sqrt(t^3)	derivative\:\sqrt[3]{t^{2}}+2\sqrt{t^{3}}
integral de 0 a 1 de (2x)/((x^2+2)^2)	\int\:_{0}^{1}\frac{2x}{(x^{2}+2)^{2}}dx
(\partial)/(\partial x)(7e^{5x})	\frac{\partial\:}{\partial\:x}(7e^{5x})
f(x)=e^{x^2-4}	f(x)=e^{x^{2}-4}
(\partial)/(\partial x)(x^2+y^2-4y)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-4y)
derivative (2x)/(x^2-4)	derivative\:\frac{2x}{x^{2}-4}
integral de-8x^{-9}	\int\:-8x^{-9}dx
integral de 0.733xe^{-0.27x}	\int\:0.733xe^{-0.27x}dx
integral de 18xcos(3x)	\int\:18x\cos(3x)dx
límite cuando x tiende a 3 de sqrt(x-3)	\lim\:_{x\to\:3}(\sqrt{x-3})
límite cuando x tiende a 0+de 1/(e^x-1)	\lim\:_{x\to\:0+}(\frac{1}{e^{x}-1})
derivative (x^3)/6	derivative\:\frac{x^{3}}{6}
integral de x^2sin(3x+2)	\int\:x^{2}\sin(3x+2)dx
integral de 1/(4x)-10	\int\:\frac{1}{4x}-10dx
inverselaplace 1/(s^1(s+1)^3)	inverselaplace\:\frac{1}{s^{1}(s+1)^{3}}
área f(x)=x^2-4,-3,1	area\:f(x)=x^{2}-4,-3,1
tangent f(x)=(25-0.075x)x,\at x=100	tangent\:f(x)=(25-0.075x)x,\at\:x=100
integral de (4x^2-14x-6)/(x^3-2x^2-3x)	\int\:\frac{4x^{2}-14x-6}{x^{3}-2x^{2}-3x}dx
serie de n=1 a infinity de 1-cos(1/n)	\sum\:_{n=1}^{\infty\:}1-\cos(\frac{1}{n})
((y^'-e^{-t}+6))/y =-6	\frac{(y^{\prime\:}-e^{-t}+6)}{y}=-6
integral de \|2x-6\|	\int\:\left\|2x-6\right\|dx
derivative f(x)=-5/(x^5)	derivative\:f(x)=-\frac{5}{x^{5}}
f(u)=e^u	f(u)=e^{u}
límite cuando x tiende a 6 de 7x+\|x-6\|	\lim\:_{x\to\:6}(7x+\left\|x-6\right\|)
derivative sin(cos(7x))	derivative\:\sin(\cos(7x))
(dy)/(dx)=-x/(ye^{x^2)}	\frac{dy}{dx}=-\frac{x}{ye^{x^{2}}}
área y=x^2-1.52,y=-x^2+1.52	area\:y=x^{2}-1.52,y=-x^{2}+1.52
derivada de cos(xy^2)	\frac{d}{dx}(\cos(xy^{2}))
límite cuando x tiende a 0 de x+y	\lim\:_{x\to\:0}(x+y)
derivative y=(3+5x-8sqrt(x))/x	derivative\:y=\frac{3+5x-8\sqrt{x}}{x}
derivada de (e^{3x}/(x^{15)})	\frac{d}{dx}(\frac{e^{3x}}{x^{15}})
integral de (ln(9x))/x	\int\:\frac{\ln(9x)}{x}dx
integral de (1-x)(1-2x)(1-3x)	\int\:(1-x)(1-2x)(1-3x)dx
integral de (x^8)/(x^9-2)	\int\:\frac{x^{8}}{x^{9}-2}dx
integral de 0 a 5 de xe^{-x}	\int\:_{0}^{5}xe^{-x}dx
integral de cos(8)	\int\:\cos(8)
(dy)/(dx)+((y^2))/(x^2)=0	\frac{dy}{dx}+\frac{(y^{2})}{x^{2}}=0
integral de 3cos(x)+2/(sqrt(x))	\int\:3\cos(x)+\frac{2}{\sqrt{x}}dx
derivada de 1/(1+2/x)	\frac{d}{dx}(\frac{1}{1+\frac{2}{x}})
derivada de 0.8cos(x+0.5sin(2x))	\frac{d}{dx}(0.8\cos(x)+0.5\sin(2x))
derivada de (98/((7x-13)^3))	\frac{d}{dx}(\frac{98}{(7x-13)^{3}})
derivative xsin(3x)	derivative\:x\sin(3x)
integral de 1/((10x-1)^6)	\int\:\frac{1}{(10x-1)^{6}}dx
derivative (7^x)/(x^3)	derivative\:\frac{7^{x}}{x^{3}}
integral de (3/x-9e^{5x}+sqrt(x^9))	\int\:(\frac{3}{x}-9e^{5x}+\sqrt{x^{9}})dx
derivative y=mx+b	derivative\:y=mx+b
integral de 4 a 6 de (x^2+2x-2)	\int\:_{4}^{6}(x^{2}+2x-2)dx
laplacetransform sqrt(t/pi)	laplacetransform\:\sqrt{\frac{t}{π}}

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