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Problemas populares

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Problemas populares de Cálculo

laplacetransformación e^{5t}sin(2t)	laplacetransform\:e^{5t}\sin(2t)
integral de sqrt(25+x^2)	\int\:\sqrt{25+x^{2}}dx
límite cuando x tiende a+0 de (5^x-7^x)/x	\lim\:_{x\to\:+0}(\frac{5^{x}-7^{x}}{x})
y^'=-ay+by	y^{\prime\:}=-a\cdot\:y+b\cdot\:y
tangent f(x)=x^2+2(3.11)	tangent\:f(x)=x^{2}+2(3.11)
laplacetransformación-4cos(6t)	laplacetransform\:-4\cos(6t)
integral de (5^x)	\int\:(5^{x})dx
derivada de 5sin(y+3e^{2x})	\frac{d}{dx}(5\sin(y)+3e^{2x})
y^'=(x^2+3y^2)/(2xy)	y^{\prime\:}=\frac{x^{2}+3y^{2}}{2xy}
derivative t^3-27t	derivative\:t^{3}-27t
integral de (x^2+16x-16)/(x^3-16x)	\int\:\frac{x^{2}+16x-16}{x^{3}-16x}dx
integral de (x^3)/(8-x^4)	\int\:\frac{x^{3}}{8-x^{4}}dx
derivada de arcsinh(sqrt(x))	\frac{d}{dx}(\arcsinh(\sqrt{x}))
(dy)/(dx)y^3=7x^3+2x	\frac{dy}{dx}y^{3}=7x^{3}+2x
integral de (6/(sqrt(4-x^2)))	\int\:(\frac{6}{\sqrt{4-x^{2}}})dx
d/(dy)(e^{x^2+y^2}sin(xy))	\frac{d}{dy}(e^{x^{2}+y^{2}}\sin(xy))
derivative x^4-3x	derivative\:x^{4}-3x
límite cuando x tiende a-0.1 de (e^x-1)/x	\lim\:_{x\to\:-0.1}(\frac{e^{x}-1}{x})
(\partial)/(\partial x)(3/(4y^4x^{1/4)})	\frac{\partial\:}{\partial\:x}(\frac{3}{4y^{4}x^{\frac{1}{4}}})
(dx)/(dt)=7xt^4	\frac{dx}{dt}=7xt^{4}
integral de-1 a 3 de (2x^2-8)	\int\:_{-1}^{3}(2x^{2}-8)dx
derivada de-(18/(ax))	\frac{d}{dx}(-\frac{18}{ax})
(\partial)/(\partial x)(4xsin(3x^2y))	\frac{\partial\:}{\partial\:x}(4x\sin(3x^{2}y))
integral de-2 a 18 de 1/(sqrt(\|2x\|))	\int\:_{-2}^{18}\frac{1}{\sqrt{\left\|2x\right\|}}dx
derivada de (4x^3+6(sqrt(x)+8))	\frac{d}{dx}((4x^{3}+6)(\sqrt{x}+8))
límite cuando x tiende a infinity de 7x^2+8	\lim\:_{x\to\:\infty\:}(7x^{2}+8)
límite cuando x tiende a 0+de sin(x)*ln(2x)	\lim\:_{x\to\:0+}(\sin(x)\cdot\:\ln(2x))
d/(dt)(e^{-t}cos(2t))	\frac{d}{dt}(e^{-t}\cos(2t))
x^{''}+16pi^2x=0	x^{\prime\:\prime\:}+16π^{2}x=0
integral de (2x+5)^4	\int\:(2x+5)^{4}dx
derivative y= 4/(3x^2)	derivative\:y=\frac{4}{3x^{2}}
derivative 4/((x^2-2x)^2)	derivative\:\frac{4}{(x^{2}-2x)^{2}}
f(x)=-(e^{1/x})/(x^2)	f(x)=-\frac{e^{\frac{1}{x}}}{x^{2}}
integral de cos(3t)sin(3t)	\int\:\cos(3t)\sin(3t)dt
integral de (12x^2)/(sqrt(4x^3-1))	\int\:\frac{12x^{2}}{\sqrt{4x^{3}-1}}dx
integral de (4x+7)/((8x^2+28x)^3)	\int\:\frac{4x+7}{(8x^{2}+28x)^{3}}dx
integral de 5csc(x)	\int\:5\csc(x)dx
límite cuando x tiende a 1+de x/(x-1)	\lim\:_{x\to\:1+}(\frac{x}{x-1})
derivada de \sqrt[3]{x}+2sqrt(t^3)	\frac{d}{dx}(\sqrt[3]{x}+2\sqrt{t^{3}})
(\partial)/(\partial x)(lsin(θ))	\frac{\partial\:}{\partial\:x}(l\sin(θ))
serie de n=1 a infinity de (7x^n)/(n^8)	\sum\:_{n=1}^{\infty\:}\frac{7x^{n}}{n^{8}}
derivative ((cos^3(x)-1))/(cos^2(x))	derivative\:\frac{(\cos^{3}(x)-1)}{\cos^{2}(x)}
límite cuando x tiende a 2 de (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)}	\lim\:_{x\to\:2}(\frac{\sqrt{2}+\sqrt{x}}{\sqrt{2}-\sqrt{x}})
derivative y=x^2+e^xsqrt(x)	derivative\:y=x^{2}+e^{x}\sqrt{x}
límite cuando x tiende a 0 de (1-cos(7x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(7x)}{x})
11(t+1)y^'-9y=18t	11(t+1)y^{\prime\:}-9y=18t
y^'+1/t y=e^{-t^2},y(1)=12	y^{\prime\:}+\frac{1}{t}y=e^{-t^{2}},y(1)=12
derivada de log_{2}((5x-1^3))	\frac{d}{dx}(\log_{2}((5x-1)^{3}))
derivada de x/(x+b/x)	\frac{d}{dx}(\frac{x}{x+\frac{b}{x}})
límite cuando x tiende a 3+de a^2x-12a	\lim\:_{x\to\:3+}(a^{2}x-12a)
(2x-1)dx+(5y+4)dy=0	(2x-1)dx+(5y+4)dy=0
área y=x^3,y=0,x=-3,x=3	area\:y=x^{3},y=0,x=-3,x=3
inversalaplace 1/((s+2)^2+9)	inverselaplace\:\frac{1}{(s+2)^{2}+9}
(\partial)/(\partial x)(2x-3y+5)	\frac{\partial\:}{\partial\:x}(2x-3y+5)
(\partial)/(\partial x)(e^{x^{2-y^2}})	\frac{\partial\:}{\partial\:x}(e^{x^{2-y^{2}}})
integral de 0 a pi/2 de cos^3(21x)	\int\:_{0}^{\frac{π}{2}}\cos^{3}(21x)dx
límite cuando t tiende a 0 de (e^{2t}-1)/t	\lim\:_{t\to\:0}(\frac{e^{2t}-1}{t})
derivative y=ln(30)+30^{x+4}	derivative\:y=\ln(30)+30^{x+4}
límite cuando x tiende a 4 de sqrt(x^2-16)	\lim\:_{x\to\:4}(\sqrt{x^{2}-16})
integral de (x^3)/(\sqrt[7]{x^2+5)}	\int\:\frac{x^{3}}{\sqrt[7]{x^{2}+5}}dx
integral de 3x-8	\int\:3x-8dx
(\partial ^2)/(\partial y^2)(x^2-y^2)	\frac{\partial\:^{2}}{\partial\:y^{2}}(x^{2}-y^{2})
límite cuando x tiende a-infinity de-1/x	\lim\:_{x\to\:-\infty\:}(-\frac{1}{x})
integral de 2sin^3(x/2)	\int\:2\sin^{3}(\frac{x}{2})dx
área x^2,[0,1]	area\:x^{2},[0,1]
y^'=6x+y	y^{\prime\:}=6x+y
(dQ)/(dt)=1-Q/(50)	\frac{dQ}{dt}=1-\frac{Q}{50}
derivada de (x^2/(sqrt(x-2y)))	\frac{d}{dx}(\frac{x^{2}}{\sqrt{x-2y}})
derivative (6x^2+8x+4)/(sqrt(x))	derivative\:\frac{6x^{2}+8x+4}{\sqrt{x}}
integral de (a+bx)^2	\int\:(a+bx)^{2}dx
f(t)=2t^3	f(t)=2t^{3}
(dy)/(dx)=-(2x+ln(y))*y/x	\frac{dy}{dx}=-(2x+\ln(y))\cdot\:\frac{y}{x}
(dy)/(dx)=y^2x^2	\frac{dy}{dx}=y^{2}x^{2}
tangent f(x)=sin(x),\at x=pi	tangent\:f(x)=\sin(x),\at\:x=π
taylor e^xsin(x),0	taylor\:e^{x}\sin(x),0
derivada de e^e+2ln(1+x^2-3^x)	\frac{d}{dx}(e^{e}+2\ln(1+x^{2})-3^{x})
integral de (3x)/(6x^2+9)	\int\:\frac{3x}{6x^{2}+9}dx
tangent f(x)=-(2x-10)/(x-3),\at x=2	tangent\:f(x)=-\frac{2x-10}{x-3},\at\:x=2
área y=x^2,x=y^2,y=1	area\:y=x^{2},x=y^{2},y=1
derivada de (x^3/(sqrt(x^3)))	\frac{d}{dx}(\frac{x^{3}}{\sqrt{x^{3}}})
integral de 1/w	\int\:\frac{1}{w}dw
área y=x^2-9,y=-x+3,x=0,x=2	area\:y=x^{2}-9,y=-x+3,x=0,x=2
derivative-4e^{4x}	derivative\:-4e^{4x}
tangent f(x)=3x^3-6x^2+7x,\at x=4	tangent\:f(x)=3x^{3}-6x^{2}+7x,\at\:x=4
integral de 1 a 5 de 2+3x-x^2	\int\:_{1}^{5}2+3x-x^{2}dx
derivada de (x^2-11x+10/(x^2+11x+10))	\frac{d}{dx}(\frac{x^{2}-11x+10}{x^{2}+11x+10})
derivada de (x^2-2/(5x^3+6))	\frac{d}{dx}(\frac{x^{2}-2}{5x^{3}+6})
(\partial)/(\partial x)(sqrt(a^2-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{a^{2}-x^{2}})
integral de (arcsin(x))/(sqrt(1-x))	\int\:\frac{\arcsin(x)}{\sqrt{1-x}}dx
f(x)=ln(ln(3x))	f(x)=\ln(\ln(3x))
derivada de (x^2/(x+7))	\frac{d}{dx}(\frac{x^{2}}{x+7})
serie de n=1 a infinity de sin(1/n)	\sum\:_{n=1}^{\infty\:}\sin(\frac{1}{n})
(\partial)/(\partial x)(y^2sin(xz))	\frac{\partial\:}{\partial\:x}(y^{2}\sin(xz))
límite cuando x tiende a 4+de 1/(x^3-64)	\lim\:_{x\to\:4+}(\frac{1}{x^{3}-64})
integral de sec^6(2x)	\int\:\sec^{6}(2x)dx
integral de 4/(5+2x-x^2)	\int\:\frac{4}{5+2x-x^{2}}dx
desarrollar sqrt(3)(s^3-s^2)	expand\:\sqrt{3}(s^{3}-s^{2})
derivada de e^{8xsin(2x})	\frac{d}{dx}(e^{8x\sin(2x)})
derivada de (2x/(9x^2+1))	\frac{d}{dx}(\frac{2x}{9x^{2}+1})
integral de 1/(4x^2+2x+1)	\int\:\frac{1}{4x^{2}+2x+1}dx

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