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Problemas populares

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Problemas populares de Cálculo

integral de sin^2(θ)cos^3(θ)	\int\:\sin^{2}(θ)\cos^{3}(θ)dθ
tangent y=(10x^2-6x+3)(1+2x),\at x=1	tangent\:y=(10x^{2}-6x+3)(1+2x),\at\:x=1
integral de (x^2)/((1-x^2)^{3/2)}	\int\:\frac{x^{2}}{(1-x^{2})^{\frac{3}{2}}}dx
integral de (8x^4+5)^332x^3	\int\:(8x^{4}+5)^{3}32x^{3}dx
derivada de 7/(sqrt(x+2))	\frac{d}{dx}(\frac{7}{\sqrt{x+2}})
tangent (2x+1)/(x+2),\at a=1	tangent\:\frac{2x+1}{x+2},\at\:a=1
integral de (x^2)/(7-x^3)	\int\:\frac{x^{2}}{7-x^{3}}dx
integral de 8/(1+9x^2)	\int\:\frac{8}{1+9x^{2}}dx
límite cuando x tiende a 0 de (tan(x)+x)/x	\lim\:_{x\to\:0}(\frac{\tan(x)+x}{x})
serie de n=0 a infinity de 3(-1/4)^{n-1}	\sum\:_{n=0}^{\infty\:}3(-\frac{1}{4})^{n-1}
integral de 20e^x	\int\:20e^{x}dx
derivada de (12/(x^4))	\frac{d}{dx}(\frac{12}{x^{4}})
límite cuando (x,y) tiende a (0,0) de xy^8	\lim\:_{(x,y)\to\:(0,0)}(xy^{8})
derivada de 1/(x^2+c)	\frac{d}{dx}(\frac{1}{x^{2}+c})
derivada de (1-2x^{1/x})	\frac{d}{dx}((1-2x)^{\frac{1}{x}})
límite cuando x tiende a 0+de xe^{-2/x}	\lim\:_{x\to\:0+}(xe^{-\frac{2}{x}})
y^'+2ty=e^{-t^2}	y^{\prime\:}+2ty=e^{-t^{2}}
integral de 0 a pi de 6cos^2(3x)	\int\:_{0}^{π}6\cos^{2}(3x)dx
integral de (x^2-4x+5)^2	\int\:(x^{2}-4x+5)^{2}dx
derivative (x+2)^{2/3}	derivative\:(x+2)^{\frac{2}{3}}
tangent y=((x-2))/((x-3))	tangent\:y=\frac{(x-2)}{(x-3)}
laplacetransformación 6e^{5t}cos(2t)-e^{-7t}	laplacetransform\:6e^{5t}\cos(2t)-e^{-7t}
integral de 1 a 1000 de 1/(x^3)	\int\:_{1}^{1000}\frac{1}{x^{3}}dx
derivative (v^3+1)/v	derivative\:\frac{v^{3}+1}{v}
(\partial)/(\partial u)(ln(ucos(v)))	\frac{\partial\:}{\partial\:u}(\ln(u\cos(v)))
laplacetransformación f(t)=r^2+6r-3	laplacetransform\:f(t)=r^{2}+6r-3
pendiente (3.1)(6.3)	slope\:(3.1)(6.3)
límite cuando x tiende a 3+de (x^2)/(3x-9)	\lim\:_{x\to\:3+}(\frac{x^{2}}{3x-9})
derivative-2x^4+2x^3-x^2+x	derivative\:-2x^{4}+2x^{3}-x^{2}+x
derivative y=7e^{sqrt(x)}	derivative\:y=7e^{\sqrt{x}}
tangent f(x)=\sqrt[4]{4x+2},\at x=1	tangent\:f(x)=\sqrt[4]{4x+2},\at\:x=1
integral de 1/(x^2sqrt(4x^2+49))	\int\:\frac{1}{x^{2}\sqrt{4x^{2}+49}}dx
integral de (-x^2-1)/(x^2-1)	\int\:\frac{-x^{2}-1}{x^{2}-1}dx
derivative 9e^x(cos(x)-sin(x))	derivative\:9e^{x}(\cos(x)-\sin(x))
serie de n=0 a infinity de (-x)^n	\sum\:_{n=0}^{\infty\:}(-x)^{n}
límite cuando x tiende a 0+de x/(ln(1/x))	\lim\:_{x\to\:0+}(\frac{x}{\ln(\frac{1}{x})})
(\partial)/(\partial x)(y/(2sqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{y}{2\sqrt{x}})
derivative x*sin(4/x)	derivative\:x\cdot\:\sin(\frac{4}{x})
x^{''}-8x^'+16x=4te^{4t}	x^{\prime\:\prime\:}-8x^{\prime\:}+16x=4te^{4t}
integral de-cos(4x)	\int\:-\cos(4x)dx
derivada de 7^{x+arccos(x})	\frac{d}{dx}(7^{x+\arccos(x)})
y^{''}+4y^'+20y=0	y^{\prime\:\prime\:}+4y^{\prime\:}+20y=0
(\partial)/(\partial x)(0.0099999)	\frac{\partial\:}{\partial\:x}(0.0099999)
integral de sqrt(1+5x^4)(20x^3)	\int\:\sqrt{1+5x^{4}}(20x^{3})dx
serie de n=1 a infinity de n(3/2)^n	\sum\:_{n=1}^{\infty\:}n(\frac{3}{2})^{n}
derivada de ((x^2+1/(x^2-1))^4)	\frac{d}{dx}((\frac{x^{2}+1}{x^{2}-1})^{4})
derivative y=cos((pit)/2-pi/3)	derivative\:y=\cos(\frac{πt}{2}-\frac{π}{3})
límite cuando h tiende a 0 de (1-cos(7h))/h	\lim\:_{h\to\:0}(\frac{1-\cos(7h)}{h})
tangent-2x^2+2x	tangent\:-2x^{2}+2x
límite cuando x tiende a 6 de 21x+18	\lim\:_{x\to\:6}(21x+18)
límite cuando x tiende a-infinity de-(x)	\lim\:_{x\to\:-\infty\:}(-(x))
integral de y a x de cos(e^t)	\int\:_{y}^{x}\cos(e^{t})dt
d/(dt)(t+1/t)	\frac{d}{dt}(t+\frac{1}{t})
integral de (2a^2x^2-b^3)^2	\int\:(2a^{2}x^{2}-b^{3})^{2}dx
integral de 6e^{2t}	\int\:6e^{2t}dt
integral de 1/2 sec^2(x)	\int\:\frac{1}{2}\sec^{2}(x)dx
(\partial)/(\partial x)(sqrt(x^2y^3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}y^{3}})
integral de (4x)/(x^3+x^2-x-1)	\int\:\frac{4x}{x^{3}+x^{2}-x-1}dx
derivada de-cos(sqrt(x))	\frac{d}{dx}(-\cos(\sqrt{x}))
límite cuando x tiende a-1 de-x^2+2x-9	\lim\:_{x\to\:-1}(-x^{2}+2x-9)
-y^'+(4y)/x =xy^2	-y^{\prime\:}+\frac{4y}{x}=xy^{2}
integral de (x^2)/((x^3+1)^5)	\int\:\frac{x^{2}}{(x^{3}+1)^{5}}dx
inversalaplace s/(s^2+4s+3)	inverselaplace\:\frac{s}{s^{2}+4s+3}
(\partial)/(\partial x)(4x^{0.75}+y)	\frac{\partial\:}{\partial\:x}(4x^{0.75}+y)
integral de-729cot^3(θ)csc(θ)	\int\:-729\cot^{3}(θ)\csc(θ)dθ
integral de sqrt(1-x^2-y^2)	\int\:\sqrt{1-x^{2}-y^{2}}dy
integral de 1/(sqrt(t^2-8t+41))	\int\:\frac{1}{\sqrt{t^{2}-8t+41}}dt
derivada de 8x(x^5+1^3)	\frac{d}{dx}(8x(x^{5}+1)^{3})
(\partial)/(\partial x)(4+x+x^2y)	\frac{\partial\:}{\partial\:x}(4+x+x^{2}y)
límite cuando x tiende a 0 de 4/x	\lim\:_{x\to\:0}(\frac{4}{x})
derivada de 2x^2-6	\frac{d}{dx}(2x^{2}-6)
laplacetransformación e^{-3s}	laplacetransform\:e^{-3s}
(\partial)/(\partial y)(3y^2+10xy^2)	\frac{\partial\:}{\partial\:y}(3y^{2}+10xy^{2})
integral de 1/((x+1)^2(x-5))	\int\:\frac{1}{(x+1)^{2}(x-5)}dx
derivada de xsin(2/x)	\frac{d}{dx}(x\sin(\frac{2}{x}))
(\partial)/(\partial x)((-y)/(2x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{-y}{2x^{2}+y^{2}})
derivative (x^2-2x)(2x-x^2)	derivative\:(x^{2}-2x)(2x-x^{2})
(\partial)/(\partial t)(te^{st})	\frac{\partial\:}{\partial\:t}(te^{st})
derivada de (x-1tan(x)+xsin(pix))	\frac{d}{dx}((x-1)\tan(x)+x\sin(πx))
(2xy)dx+(x^2-1)dy=0	(2xy)dx+(x^{2}-1)dy=0
derivative 8/(x^6)	derivative\:\frac{8}{x^{6}}
derivada de 3/((x^2-5x^2))	\frac{d}{dx}(\frac{3}{(x^{2}-5x)^{2}})
integral de (1-y)/y	\int\:\frac{1-y}{y}dy
integral de 0 a 2.1 de pi(21/10-x)^2	\int\:_{0}^{2.1}π(\frac{21}{10}-x)^{2}dx
(\partial ^2)/(\partial y^2)(ln(2+x^2y^2))	\frac{\partial\:^{2}}{\partial\:y^{2}}(\ln(2+x^{2}y^{2}))
integral de tan^3(x)sec^6(x)	\int\:\tan^{3}(x)\sec^{6}(x)dx
integral de 1/9 x^{-2/9}	\int\:\frac{1}{9}x^{-\frac{2}{9}}dx
(\partial)/(\partial x)(y^2*x)	\frac{\partial\:}{\partial\:x}(y^{2}\cdot\:x)
integral de 1 a 9 de 1/(2x^2)	\int\:_{1}^{9}\frac{1}{2x^{2}}dx
x^2y^{''}+2xy^'-12y=0,y(1)=-1,y^'(1)=10	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-12y=0,y(1)=-1,y^{\prime\:}(1)=10
(dx)/(dy)=-(4y^2+6xy)/(3y^2+2x)	\frac{dx}{dy}=-\frac{4y^{2}+6xy}{3y^{2}+2x}
límite cuando x tiende a 2 de x^4	\lim\:_{x\to\:2}(x^{4})
derivative f(x)= 2/(x-3)	derivative\:f(x)=\frac{2}{x-3}
pendiente y=sqrt(1-x^2),\at x= 1/2	slope\:y=\sqrt{1-x^{2}},\at\:x=\frac{1}{2}
límite cuando x tiende a 9 de ((16+sqrt(x)))/(sqrt(16+x))	\lim\:_{x\to\:9}(\frac{(16+\sqrt{x})}{\sqrt{16+x}})
maclaurin f(x)=e^{x/2}	maclaurin\:f(x)=e^{\frac{x}{2}}
inversalaplace {((s+1)^2)/(s^3)}	inverselaplace\:\left\{\frac{(s+1)^{2}}{s^{3}}\right\}
y^'=(xy^3)/(25)	y^{\prime\:}=\frac{xy^{3}}{25}
(\partial)/(\partial y)(sqrt(1-y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{1-y^{2}})
derivative 2sin(x)	derivative\:2\sin(x)

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