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Problemas populares

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Problemas populares de Cálculo

integral de 1/(1-sin(x/2))	\int\:\frac{1}{1-\sin(\frac{x}{2})}dx
f(x)=(10)/(x^2)	f(x)=\frac{10}{x^{2}}
integral de 1/(xsqrt(4^2-9))	\int\:\frac{1}{x\sqrt{4^{2}-9}}dx
integral de 1/(1-1/2 x)	\int\:\frac{1}{1-\frac{1}{2}x}dx
derivative x/6	derivative\:\frac{x}{6}
(xtan(y/x)+y)dx-xdy=0	(x\tan(\frac{y}{x})+y)\cdot\:dx-x\cdot\:dy=0
integral de 1/x-1/(x+6)	\int\:\frac{1}{x}-\frac{1}{x+6}dx
integral de ysqrt(2+10y-25y^2)	\int\:y\sqrt{2+10y-25y^{2}}dy
derivative ((x+1)^2)/((x-1)(x+2))	derivative\:\frac{(x+1)^{2}}{(x-1)(x+2)}
límite cuando x tiende a infinity de x(x-sqrt(x^2-4))	\lim\:_{x\to\:\infty\:}(x(x-\sqrt{x^{2}-4}))
integral de 10x^{-1/2}+1	\int\:10x^{-\frac{1}{2}}+1dx
tangent 2 1/x ,\at x=3	tangent\:2\frac{1}{x},\at\:x=3
integral de (sqrt(9x^2-1))/x	\int\:\frac{\sqrt{9x^{2}-1}}{x}dx
integral de (1-2e^{tan(x)})sec^2(x)	\int\:(1-2e^{\tan(x)})\sec^{2}(x)dx
límite cuando x tiende a 4-de (x+2)/(x-4)	\lim\:_{x\to\:4-}(\frac{x+2}{x-4})
límite cuando x tiende a 0 de (log_{e}(1+3x^2))/(x(e^x-1))	\lim\:_{x\to\:0}(\frac{\log_{e}(1+3x^{2})}{x(e^{x}-1)})
derivada de sin^2(3x-2)	\frac{d}{dx}(\sin^{2}(3x-2))
derivada de 4arcsin(x)	\frac{d}{dx}(4\arcsin(x))
(dy)/(dx)=2x(1+y)	\frac{dy}{dx}=2x(1+y)
integral de 3sqrt(x^2)	\int\:3\sqrt{x^{2}}dx
(\partial)/(\partial y)(ln(sqrt(1+xy)))	\frac{\partial\:}{\partial\:y}(\ln(\sqrt{1+xy}))
integral de 1/(sqrt(x^2+4x+1))	\int\:\frac{1}{\sqrt{x^{2}+4x+1}}dx
(\partial)/(\partial x)(5xy(9-x-y))	\frac{\partial\:}{\partial\:x}(5xy(9-x-y))
derivative e^x-3x	derivative\:e^{x}-3x
(\partial)/(\partial x)(8)	\frac{\partial\:}{\partial\:x}(8)
integral de 1 a 4e de 3ln(x)	\int\:_{1}^{4e}3\ln(x)dx
3t(dy)/(dt)+y=sqrt(t)	3t\frac{dy}{dt}+y=\sqrt{t}
derivada de cos^{sin(x}(x))	\frac{d}{dx}(\cos^{\sin(x)}(x))
integral de (x^5)/(x^6-2)	\int\:\frac{x^{5}}{x^{6}-2}dx
derivada de e^x(cos(x-sin(x)))	\frac{d}{dx}(e^{x}(\cos(x)-\sin(x)))
y^'=sin^2(x-y)	y^{\prime\:}=\sin^{2}(x-y)
derivada de (3x-4/(12x^2))	\frac{d}{dx}(\frac{3x-4}{12x^{2}})
pendiente F(x)=sqrt(x)+1	slope\:F(x)=\sqrt{x}+1
y^'=((x^2-y^2))/(xy),y(2)=2	y^{\prime\:}=\frac{(x^{2}-y^{2})}{xy},y(2)=2
derivative cos^4(x)	derivative\:\cos^{4}(x)
tangent f(x)=x^3-4x,\at x=2	tangent\:f(x)=x^{3}-4x,\at\:x=2
área 2x^2-1,0,1	area\:2x^{2}-1,0,1
derivative sqrt(1-4x^2)	derivative\:\sqrt{1-4x^{2}}
derivative (x+5)/(sqrt(x))	derivative\:\frac{x+5}{\sqrt{x}}
tangent f(x)=x^2-9x,\at x=3	tangent\:f(x)=x^{2}-9x,\at\:x=3
(\partial)/(\partial y)(x^3y)	\frac{\partial\:}{\partial\:y}(x^{3}y)
taylor 1/((z+1)^3)	taylor\:\frac{1}{(z+1)^{3}}
derivada de sqrt(x^2+x+3)	\frac{d}{dx}(\sqrt{x^{2}+x+3})
(x^4+y^2)dx-xydy=0	(x^{4}+y^{2})dx-xydy=0
integral de (tan(θ))	\int\:(\tan(θ))dθ
límite cuando x tiende a 0 de (sin(pix))/x	\lim\:_{x\to\:0}(\frac{\sin(πx)}{x})
integral de 1/(x(ln(x))^5)	\int\:\frac{1}{x(\ln(x))^{5}}dx
derivada de (1/(x^2-5/(x^4))(x+3x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{5}{x^{4}})(x+3x^{3}))
integral de 1/((x+3)ln(x+3))	\int\:\frac{1}{(x+3)\ln(x+3)}dx
laplacetransformación e^{ax}	laplacetransform\:e^{ax}
derivada de 1/(sqrt(3-x))	\frac{d}{dx}(\frac{1}{\sqrt{3-x}})
integral de xln(sqrt(x+2))	\int\:x\ln(\sqrt{x+2})dx
integral de 1/(t^2-9)	\int\:\frac{1}{t^{2}-9}dt
(\partial)/(\partial x)((e^{-6x})cos(y))	\frac{\partial\:}{\partial\:x}((e^{-6x})\cos(y))
integral de 1/(\sqrt[3]{x-1)}	\int\:\frac{1}{\sqrt[3]{x-1}}dx
integral de (ye^{2xy}+x)	\int\:(ye^{2xy}+x)dx
(dy)/(dx)=(y+3)	\frac{dy}{dx}=(y+3)
tangent y=x^3-5x+1,(3,13)	tangent\:y=x^{3}-5x+1,(3,13)
f^{''}(x)= 4/(x^2)	f^{\prime\:\prime\:}(x)=\frac{4}{x^{2}}
integral de 1/(x^2sqrt(49x^2+16))	\int\:\frac{1}{x^{2}\sqrt{49x^{2}+16}}dx
d/(dt)(e^{tan(pit)})	\frac{d}{dt}(e^{\tan(πt)})
derivative (x^2)/(e^x)	derivative\:\frac{x^{2}}{e^{x}}
integral de arcsin(sqrt(x))sqrt(1-x)	\int\:\arcsin(\sqrt{x})\sqrt{1-x}dx
límite cuando r tiende a 3 de 4/3 pir^3	\lim\:_{r\to\:3}(\frac{4}{3}πr^{3})
límite cuando x tiende a infinity de (1+3x+2x^3)/(x^3)	\lim\:_{x\to\:\infty\:}(\frac{1+3x+2x^{3}}{x^{3}})
integral de (19)/(x^3-27)	\int\:\frac{19}{x^{3}-27}dx
derivada de (-sin^2(x)/x)	\frac{d}{dx}(\frac{-\sin^{2}(x)}{x})
derivative e^{6x}	derivative\:e^{6x}
y^{''}-3y^'+2y=1+2e^{3t}	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=1+2e^{3t}
laplacetransformación t^2sin(1/2 t)	laplacetransform\:t^{2}\sin(\frac{1}{2}t)
serie de n=0 a infinity de n^nx^n	\sum\:_{n=0}^{\infty\:}n^{n}x^{n}
límite cuando x tiende a 0 de (3-3cos(x))/(sin^2(x))	\lim\:_{x\to\:0}(\frac{3-3\cos(x)}{\sin^{2}(x)})
derivative y=(x^2-9x+8)sqrt(25-x^2)	derivative\:y=(x^{2}-9x+8)\sqrt{25-x^{2}}
derivative f(x)=(11)/((1-x)^2)	derivative\:f(x)=\frac{11}{(1-x)^{2}}
integral de sin^3(2x)	\int\:\sin^{3}(2x)dx
f^{''}(x)=x^{-3/2}	f^{\prime\:\prime\:}(x)=x^{-\frac{3}{2}}
integral de sqrt(x)sqrt(4-x)	\int\:\sqrt{x}\sqrt{4-x}dx
integral de cos^3(x)sqrt(sin(x))	\int\:\cos^{3}(x)\sqrt{\sin(x)}dx
derivative f(x)=\sqrt[5]{x^4}-2/x	derivative\:f(x)=\sqrt[5]{x^{4}}-\frac{2}{x}
derivative y=sqrt((a^4)/(a^3-8x))	derivative\:y=\sqrt{\frac{a^{4}}{a^{3}-8x}}
(\partial)/(\partial z)(zy^2(t+1))	\frac{\partial\:}{\partial\:z}(zy^{2}(t+1))
integral de (sec(y))/(sin(y))	\int\:\frac{\sec(y)}{\sin(y)}dy
(\partial)/(\partial x)(1/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{2}})
inversalaplace 2/((-2s+10))	inverselaplace\:\frac{2}{(-2s+10)}
derivada de {f}(x(sqrt(x)))	\frac{d}{dx}({f}(x)(\sqrt{x}))
derivada de 3x^2-2x+7	\frac{d}{dx}(3x^{2}-2x+7)
límite cuando x tiende a 2 de (x+2)^6(3x^2)	\lim\:_{x\to\:2}((x+2)^{6}(3x^{2}))
y^{''}+9y=t^2e^3t+6	y^{\prime\:\prime\:}+9y=t^{2}e^{3}t+6
inversalaplace 1/((s-3)(s+1))	inverselaplace\:\frac{1}{(s-3)(s+1)}
integral de (3x-y)/9	\int\:\frac{3x-y}{9}dy
y^{''}-14y^'+49y=3t^{-1}e^{7t}	y^{\prime\:\prime\:}-14y^{\prime\:}+49y=3t^{-1}e^{7t}
derivada de 2csc(x+4cot(x))	\frac{d}{dx}(2\csc(x)+4\cot(x))
pendiente (-3,4),(2,-9)	slope\:(-3,4),(2,-9)
integral de tan^{-3/2}(x)sec^4(x)	\int\:\tan^{-\frac{3}{2}}(x)\sec^{4}(x)dx
derivative g(x)=\sqrt[4]{x}e^x	derivative\:g(x)=\sqrt[4]{x}e^{x}
(dy)/(dx)=(1+y^2)tan(x)	\frac{dy}{dx}=(1+y^{2})\tan(x)
derivada de-6e^{-6x}	\frac{d}{dx}(-6e^{-6x})
límite cuando x tiende a-1 de (x^3)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{3}}{x+1})
d/(d{x)}((({z)/x-{y})^2}{sqrt({x)}})	\frac{d}{d{x}}(\frac{({z}{x}-{y})^{2}}{\sqrt{{x}}})
integral de x^2sin(x)cos(x)	\int\:x^{2}\sin(x)\cos(x)dx

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