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Problemas populares

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Problemas populares de Cálculo

integral de x^2sqrt(3+2x-x^2)	\int\:x^{2}\sqrt{3+2x-x^{2}}dx
derivada de 4e^{x/2}-3e^{-x}	\frac{d}{dx}(4e^{\frac{x}{2}}-3e^{-x})
integral de 0 a pi/2 de xsin(8x)	\int\:_{0}^{\frac{π}{2}}x\sin(8x)dx
límite cuando x tiende a-0 de ((x+2)^2-4)/x	\lim\:_{x\to\:-0}(\frac{(x+2)^{2}-4}{x})
derivative f(x)= 2/((3x^2+7)^2)	derivative\:f(x)=\frac{2}{(3x^{2}+7)^{2}}
tangent f(x)=6x-x^2	tangent\:f(x)=6x-x^{2}
8-x^2,x^2,x=-3,x=3	8-x^{2},x^{2},x=-3,x=3
derivada de (4sqrt(x)/(3x^2+6x-8))	\frac{d}{dx}(\frac{4\sqrt{x}}{3x^{2}+6x-8})
integral de 17	\int\:17dx
(\partial)/(\partial y)((x-1)y^2e^{xy})	\frac{\partial\:}{\partial\:y}((x-1)y^{2}e^{xy})
y^'=5y+e^{-2x}y^{-2}	y^{\prime\:}=5y+e^{-2x}y^{-2}
(\partial)/(\partial x)(cos(5x-4y^2))	\frac{\partial\:}{\partial\:x}(\cos(5x-4y^{2}))
derivada de (x^4+6/(x^2))	\frac{d}{dx}(\frac{x^{4}+6}{x^{2}})
y^'=(t^2+3y^2)/(2ty)	y^{\prime\:}=\frac{t^{2}+3y^{2}}{2ty}
(\partial)/(\partial x)(x^8y^5+4x^6y)	\frac{\partial\:}{\partial\:x}(x^{8}y^{5}+4x^{6}y)
(\partial)/(\partial y)(2x^4y-3)	\frac{\partial\:}{\partial\:y}(2x^{4}y-3)
integral de x(x-5)^5	\int\:x(x-5)^{5}dx
desarrollar (4x-7)^3(8x-3)	expand\:(4x-7)^{3}(8x-3)
límite cuando x tiende a 0 de (x^5+6x)/x	\lim\:_{x\to\:0}(\frac{x^{5}+6x}{x})
serie de n=0 a infinity de (-2/3)^n	\sum\:_{n=0}^{\infty\:}(-\frac{2}{3})^{n}
(\partial)/(\partial t)(s^2+t^2)	\frac{\partial\:}{\partial\:t}(s^{2}+t^{2})
integral de x/(1+x^2)ln(1+x^2)	\int\:\frac{x}{1+x^{2}}\ln(1+x^{2})dx
integral de (x^2+1)/((x-8)(x-7)^2)	\int\:\frac{x^{2}+1}{(x-8)(x-7)^{2}}dx
integral de 0 a 1 de 5(1+sqrt(x))^7	\int\:_{0}^{1}5(1+\sqrt{x})^{7}dx
serie de n=1 a infinity de nsin(3/n)	\sum\:_{n=1}^{\infty\:}n\sin(\frac{3}{n})
derivada de e^{x^2+cos(x})	\frac{d}{dx}(e^{x^{2}+\cos(x)})
derivative 99-80e^{-0.3}	derivative\:99-80e^{-0.3}
tangent 2x^3-2x^2+12	tangent\:2x^{3}-2x^{2}+12
límite cuando x tiende a infinity de (3^{x+2}+2^x)/(3^{x-2)}	\lim\:_{x\to\:\infty\:}(\frac{3^{x+2}+2^{x}}{3^{x-2}})
límite cuando x tiende a b de f(x)+g(x)	\lim\:_{x\to\:b}(f(x)+g(x))
integral de 1/7 a 3 de 10xln(7x)	\int\:_{\frac{1}{7}}^{3}10x\ln(7x)dx
serie de n=0 a infinity de (-1)^nnx^n	\sum\:_{n=0}^{\infty\:}(-1)^{n}nx^{n}
integral de-x*e^x	\int\:-x\cdot\:e^{x}dx
derivada de x^3-x+2	\frac{d}{dx}(x^{3}-x+2)
integral de (sec^2(x))/(1-tan(x))	\int\:\frac{\sec^{2}(x)}{1-\tan(x)}dx
derivada de x^3+3x^2-24	\frac{d}{dx}(x^{3}+3x^{2}-24)
límite cuando x tiende a 2 de (\|x-2\|)/x+6	\lim\:_{x\to\:2}(\frac{\left\|x-2\right\|}{x}+6)
integral de 0 a 1 de 2pix(21-21x)	\int\:_{0}^{1}2πx(21-21x)dx
laplacetransformación (t-1)cos(4t-4)	laplacetransform\:(t-1)\cos(4t-4)
(\partial)/(\partial x)(e^{-t}*cos(pix))	\frac{\partial\:}{\partial\:x}(e^{-t}\cdot\:\cos(πx))
tangent 2/(x-8)(10.1)	tangent\:\frac{2}{x-8}(10.1)
integral de rsqrt(1-r^2)	\int\:r\sqrt{1-r^{2}}dr
área 7x^2-3x,x^3-7x+2	area\:7x^{2}-3x,x^{3}-7x+2
límite cuando x tiende a pik de sin(1/x)	\lim\:_{x\to\:πk}(\sin(\frac{1}{x}))
y^'-2/x y=2x^{-1}y^{-1}	y^{\prime\:}-\frac{2}{x}y=2x^{-1}y^{-1}
integral de xe^{y+2z}	\int\:xe^{y+2z}dy
x^2(dy)/(dx)-4xy=tan(3x)	x^{2}\frac{dy}{dx}-4xy=\tan(3x)
taylor (4y+1)e	taylor\:(4\cdot\:y+1)\cdot\:e
derivative (4s)/(s+2)	derivative\:\frac{4s}{s+2}
derivative t^4cos(t)	derivative\:t^{4}\cos(t)
integral de t^5e^{-t^6}	\int\:t^{5}e^{-t^{6}}dt
derivada de-5x+10x^2	\frac{d}{dx}(-5x+10x^{2})
integral de (1/2)^x	\int\:(\frac{1}{2})^{x}dx
límite cuando x tiende a 1+de 8/(sqrt(1-x))	\lim\:_{x\to\:1+}(\frac{8}{\sqrt{1-x}})
derivada de (6x^2+6x+4/(sqrt(x)))	\frac{d}{dx}(\frac{6x^{2}+6x+4}{\sqrt{x}})
integral de 4/(x-1)	\int\:\frac{4}{x-1}dx
inversalaplace (6s-4)/(s^2-4s+20)	inverselaplace\:\frac{6s-4}{s^{2}-4s+20}
límite cuando x tiende a 0 de xcos(1/(x^3))	\lim\:_{x\to\:0}(x\cos(\frac{1}{x^{3}}))
y^'+xy=x^3	y^{\prime\:}+xy=x^{3}
área y=2sqrt(x),y=(x^2)/4	area\:y=2\sqrt{x},y=\frac{x^{2}}{4}
derivada de ln(x^2-2)	\frac{d}{dx}(\ln(x^{2}-2))
integral de 1/((x+5)^2(x-2))	\int\:\frac{1}{(x+5)^{2}(x-2)}dx
(\partial)/(\partial y)((5xy)/(x-y))	\frac{\partial\:}{\partial\:y}(\frac{5xy}{x-y})
derivative f(x)=x+3/x	derivative\:f(x)=x+\frac{3}{x}
derivative (2x-1)e^x	derivative\:(2x-1)e^{x}
derivative y=3x^2-4x+1	derivative\:y=3x^{2}-4x+1
maclaurin sin(x),5	maclaurin\:\sin(x),5
inversalaplace ((16s+5))/((s^2+9))	inverselaplace\:\frac{(16s+5)}{(s^{2}+9)}
integral de-2 a 3 de 1	\int\:_{-2}^{3}1
integral de (e^{1/(x^2)})/(x^3)	\int\:\frac{e^{\frac{1}{x^{2}}}}{x^{3}}dx
derivative ln(3x+7)	derivative\:\ln(3x+7)
derivada de \|-3x\|	\frac{d}{dx}(\left\|-3x\right\|)
y^'+9y=t+e^{-8t}	y^{\prime\:}+9y=t+e^{-8t}
(\partial)/(\partial t)(e^{h(t)}sin(mx)cos(ny))	\frac{\partial\:}{\partial\:t}(e^{h(t)}\sin(mx)\cos(ny))
(sin(xy)+xycos(xy))dx+x^2cos(xy)dy=0	(\sin(xy)+xy\cos(xy))dx+x^{2}\cos(xy)dy=0
simplificar 2x-6/(\sqrt[3]{x)}	simplify\:2x-\frac{6}{\sqrt[3]{x}}
integral de (sqrt(x))/(\sqrt[3]{x)+1}	\int\:\frac{\sqrt{x}}{\sqrt[3]{x}+1}dx
límite cuando x tiende a 2 de 4x^3	\lim\:_{x\to\:2}(4x^{3})
derivative arccos(-3x)	derivative\:\arccos(-3x)
y=sqrt(x)e^{-x^2}	y=\sqrt{x}e^{-x^{2}}
límite cuando x tiende a 0 de \sqrt[3]{1+x^2}-\sqrt[4]{1-2x}	\lim\:_{x\to\:0}(\sqrt[3]{1+x^{2}}-\sqrt[4]{1-2x})
derivada de 6.687(0.931^x)	\frac{d}{dx}(6.687(0.931)^{x})
(dy)/(dx)=(y^2-x^2)/(yx)	\frac{dy}{dx}=\frac{y^{2}-x^{2}}{yx}
integral de e^{-st}(2-t)	\int\:e^{-st}(2-t)dt
integral de (x^3)/(x^4-6)	\int\:\frac{x^{3}}{x^{4}-6}dx
inversalaplace ((2s+3))/(s^2-7)	inverselaplace\:\frac{(2s+3)}{s^{2}-7}
integral de sec(2θ)tan(2θ)	\int\:\sec(2θ)\tan(2θ)dθ
límite cuando x tiende a 5-de (-1)/(x^2-25)	\lim\:_{x\to\:5-}(\frac{-1}{x^{2}-25})
límite cuando q tiende a+(-11)+de ln(q+11)	\lim\:_{q\to\:+(-11)+}(\ln(q+11))
integral de (cos(2θ))/2	\int\:\frac{\cos(2θ)}{2}dθ
serie de n=0 a infinity de (x+5)^n	\sum\:_{n=0}^{\infty\:}(x+5)^{n}
derivada de (2x/(sqrt(x^2+1)))	\frac{d}{dx}(\frac{2x}{\sqrt{x^{2}+1}})
derivada de (3x^2+1^4)	\frac{d}{dx}((3x^{2}+1)^{4})
(2xy+y^2)dx-2x^2dy=0	(2xy+y^{2})dx-2x^{2}dy=0
derivada de ((x-4)/x+ln(x/4))	\frac{d}{dx}(\frac{(x-4)}{x}+\ln(\frac{x}{4}))
(\partial)/(\partial y)(x/(2y^4))	\frac{\partial\:}{\partial\:y}(\frac{x}{2y^{4}})
tangent sqrt(3x+1)	tangent\:\sqrt{3x+1}
integral de 1/(x^4+x^2)	\int\:\frac{1}{x^{4}+x^{2}}dx
derivative x^2e^{1/x}	derivative\:x^{2}e^{\frac{1}{x}}
(\partial)/(\partial x)(t^2x-t)	\frac{\partial\:}{\partial\:x}(t^{2}x-t)

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