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Problemas populares Cálculo

tangent y=4sqrt(x)	tangent\:y=4\sqrt{x}
(\partial)/(\partial x)(x^3y^2-4yx^2+3yx-4)	\frac{\partial\:}{\partial\:x}(x^{3}y^{2}-4yx^{2}+3yx-4)
tangent y=x^2+5x+6,\at x=7	tangent\:y=x^{2}+5x+6,\at\:x=7
integral de sqrt(144-9x^2)	\int\:\sqrt{144-9x^{2}}dx
límite cuando x tiende a-5+de 3/(x^2-25)	\lim\:_{x\to\:-5+}(\frac{3}{x^{2}-25})
derivada de x^{sin(3x})	\frac{d}{dx}(x^{\sin(3x)})
(\partial)/(\partial u)(cos(u+v))	\frac{\partial\:}{\partial\:u}(\cos(u+v))
límite cuando x tiende a-4+de 1/((x+4)^2)	\lim\:_{x\to\:-4+}(\frac{1}{(x+4)^{2}})
integral de (arctan(2x))/(1+4x^2)	\int\:\frac{\arctan(2x)}{1+4x^{2}}dx
área 1/(12x^2),x, x/(10)	area\:\frac{1}{12x^{2}},x,\frac{x}{10}
16y^{''''}+24y^{''}+9y=0	16y^{\prime\:\prime\:\prime\:\prime\:}+24y^{\prime\:\prime\:}+9y=0
(\partial)/(\partial x)(x^3-3y^2)	\frac{\partial\:}{\partial\:x}(x^{3}-3y^{2})
límite cuando x tiende a 4 de 1/x	\lim\:_{x\to\:4}(\frac{1}{x})
serie de n=0 a infinity de 6x^n	\sum\:_{n=0}^{\infty\:}6x^{n}
(\partial)/(\partial y)(x^5-7x^3y^3+y^6)	\frac{\partial\:}{\partial\:y}(x^{5}-7x^{3}y^{3}+y^{6})
integral de (2x+1)/(x^2-7x+12)	\int\:\frac{2x+1}{x^{2}-7x+12}dx
derivative y=e^{4x}	derivative\:y=e^{4x}
longdivision (x^2-x-2)/(x^2-6x+9)	longdivision\:\frac{x^{2}-x-2}{x^{2}-6x+9}
integral de 1 a 2 de f(x)	\int\:_{1}^{2}f(x)dx
integral de 1/(sqrt(64x^2-81))	\int\:\frac{1}{\sqrt{64x^{2}-81}}dx
serie de n=0 a infinity de cos(pi*n)	\sum\:_{n=0}^{\infty\:}\cos(π\cdot\:n)
integral de 1/(4x^2-1)	\int\:\frac{1}{4x^{2}-1}dx
(\partial)/(\partial x)(sin(6xy+7yz+9xz))	\frac{\partial\:}{\partial\:x}(\sin(6xy+7yz+9xz))
integral de (4x-2/x+5sin(x))	\int\:(4x-\frac{2}{x}+5\sin(x))dx
límite cuando x tiende a infinity de (4)^x	\lim\:_{x\to\:\infty\:}((4)^{x})
f^'(x)=sec(2x)tan(2x)-4/(x^2)	f^{\prime\:}(x)=\sec(2x)\tan(2x)-\frac{4}{x^{2}}
serie de n=0 a infinity de x^n 1/n	\sum\:_{n=0}^{\infty\:}x^{n}\frac{1}{n}
derivada de 2x^3+(45x^2/2+21x+4)	\frac{d}{dx}(2x^{3}+\frac{45x^{2}}{2}+21x+4)
integral de x^2sqrt(3+x)	\int\:x^{2}\sqrt{3+x}dx
derivative y=(e^x+1)/(e^x-1)	derivative\:y=\frac{e^{x}+1}{e^{x}-1}
(\partial)/(\partial x)(-y/(x^2)+4x+1/y)	\frac{\partial\:}{\partial\:x}(-\frac{y}{x^{2}}+4x+\frac{1}{y})
x^2(dy)/(dx)-2xy=5y^4	x^{2}\frac{dy}{dx}-2xy=5y^{4}
integral de-2 a 2 de (x+2)sqrt(4-x^2)	\int\:_{-2}^{2}(x+2)\sqrt{4-x^{2}}dx
integral de-2e^{-2x}	\int\:-2e^{-2x}dx
y^{''}+16y=-8sin(4t)	y^{\prime\:\prime\:}+16y=-8\sin(4t)
derivative 4/(x^5)	derivative\:\frac{4}{x^{5}}
integral de csc(pi)xcot(pi)x	\int\:\csc(π)x\cot(π)xdx
tangent 7x-6sqrt(x)(1.1)	tangent\:7x-6\sqrt{x}(1.1)
integral de 0 a 5 de 2pix(5x-x^2)	\int\:_{0}^{5}2πx(5x-x^{2})dx
integral de 3 a 4 de-1/((x-3)^3)	\int\:_{3}^{4}-\frac{1}{(x-3)^{3}}dx
derivada de e^x-sin(x)	\frac{d}{dx}(e^{x}-\sin(x))
área x,-1,1	area\:x,-1,1
y^'+6xy=x^4e^{(-6x^2)/2}	y^{\prime\:}+6xy=x^{4}e^{\frac{-6x^{2}}{2}}
integral de 2sin^3(x)*cos^2(x)	\int\:2\sin^{3}(x)\cdot\:\cos^{2}(x)dx
integral de cos^4(2x)	\int\:\cos^{4}(2x)dx
derivada de 2x^3+6x-2	\frac{d}{dx}(2x^{3}+6x-2)
(\partial)/(\partial u)(uv)	\frac{\partial\:}{\partial\:u}(uv)
implicit (dy)/(dx),y=x^x	implicit\:\frac{dy}{dx},y=x^{x}
límite cuando x tiende a 1 de (11x^2-99)/(x^2-20x+51)	\lim\:_{x\to\:1}(\frac{11x^{2}-99}{x^{2}-20x+51})
derivative sqrt(2)t	derivative\:\sqrt{2}t
integral de sin(y^2)	\int\:\sin(y^{2})dy
límite cuando x tiende a 0 de (e^x-1)/(20x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{20x})
(\partial)/(\partial x)((7xz)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{7xz}{x+y})
integral de (4t-2)(e^{t^2-t})	\int\:(4t-2)(e^{t^{2}-t})dt
integral de-3 a 0 de (4+sqrt(9-x^2))	\int\:_{-3}^{0}(4+\sqrt{9-x^{2}})dx
límite cuando x tiende a 4 de (4-x)/(\|4-x\|)	\lim\:_{x\to\:4}(\frac{4-x}{\left\|4-x\right\|})
integral de ln(8) a ln(27) de e^{x/3}	\int\:_{\ln(8)}^{\ln(27)}e^{\frac{x}{3}}dx
derivada de sech^2(x)	\frac{d}{dx}(\sech^{2}(x))
derivative-72e^{-2x}	derivative\:-72e^{-2x}
derivada de (6x^3+7^{3/2})	\frac{d}{dx}((6x^{3}+7)^{\frac{3}{2}})
laplacetransform 5cos(3t)	laplacetransform\:5\cos(3t)
derivada de \sqrt[3]{2x-3}	\frac{d}{dx}(\sqrt[3]{2x-3})
integral de (x+3x^2)/(y^2)	\int\:\frac{x+3x^{2}}{y^{2}}dx
integral de 1/(1-cos(x))	\int\:\frac{1}{1-\cos(x)}dx
(\partial)/(\partial u)(u+v^2)	\frac{\partial\:}{\partial\:u}(u+v^{2})
integral de 0 a 5 de (x+1)	\int\:_{0}^{5}(x+1)dx
integral de (θ^2-csc^2(θ))	\int\:(θ^{2}-\csc^{2}(θ))dθ
área y=x^2,y=sqrt(7+x)	area\:y=x^{2},y=\sqrt{7+x}
integral de e^{4x}sin(4x)	\int\:e^{4x}\sin(4x)dx
inverselaplace 1/((1-s)*(s^2+1))	inverselaplace\:\frac{1}{(1-s)\cdot\:(s^{2}+1)}
y^'(x)=(9x^2)/(9y^2-7),y(1)=0	y^{\prime\:}(x)=\frac{9x^{2}}{9y^{2}-7},y(1)=0
integral de (x+x^2)/(x^3)	\int\:\frac{x+x^{2}}{x^{3}}dx
integral de-1 a 3 de (x+1)^3	\int\:_{-1}^{3}(x+1)^{3}dx
(x^4+2y)dx-xdy=0	(x^{4}+2y)dx-xdy=0
derivative 0.2x^3*3^x	derivative\:0.2x^{3}\cdot\:3^{x}
límite cuando x tiende a infinity de-1^{2x}	\lim\:_{x\to\:\infty\:}(-1^{2x})
integral de e^a	\int\:e^{a}
integral de (x+(sin(2x))/y)	\int\:(x+\frac{\sin(2x)}{y})dx
derivative f(x)=(8x-7)^{1/2}	derivative\:f(x)=(8x-7)^{\frac{1}{2}}
(dy)/(dx)=e^{4x+5y}	\frac{dy}{dx}=e^{4x+5y}
integral de 3 a 5 de (y^2)/2+1/(2y^2)	\int\:_{3}^{5}\frac{y^{2}}{2}+\frac{1}{2y^{2}}dy
integral de x^3-3x^{-4}-2	\int\:x^{3}-3x^{-4}-2dx
integral de x^2log_{e}(x)	\int\:x^{2}\log_{e}(x)dx
(dy)/(dt)=y+1	\frac{dy}{dt}=y+1
integral de 0 a 7 de sqrt(49-x^2)	\int\:_{0}^{7}\sqrt{49-x^{2}}dx
(\partial)/(\partial x)((x-2)(1-e^{-x}))	\frac{\partial\:}{\partial\:x}((x-2)(1-e^{-x}))
1/4 y^{''}+4t=2tan(4t)-1/3 e^t	\frac{1}{4}y^{\prime\:\prime\:}+4t=2\tan(4t)-\frac{1}{3}e^{t}
límite cuando x tiende a 0 de (sec(x)-1)/x	\lim\:_{x\to\:0}(\frac{\sec(x)-1}{x})
derivada de 1/(4x-1)	\frac{d}{dx}(\frac{1}{4x-1})
integral de (sec(2y)tan(2y))/(4+sec(2y))	\int\:\frac{\sec(2y)\tan(2y)}{4+\sec(2y)}dy
derivative-2x^4+7xe^{3x-2}	derivative\:-2x^{4}+7xe^{3x-2}
integral de 1 a infinity de ln(x)	\int\:_{1}^{\infty\:}\ln(x)dx
(\partial)/(\partial x)((tx(1-x))/(1-t^2))	\frac{\partial\:}{\partial\:x}(\frac{tx(1-x)}{1-t^{2}})
integral de ((e^{1/x})/(x^2))	\int\:(\frac{e^{\frac{1}{x}}}{x^{2}})dx
integral de ((10x+2))/((3x+1)(x-1))	\int\:\frac{(10x+2)}{(3x+1)(x-1)}dx
integral de 0 a 8 de x^2sqrt(64-x^2)	\int\:_{0}^{8}x^{2}\sqrt{64-x^{2}}dx
y^'-5y=6e^{7t}	y^{\prime\:}-5y=6e^{7t}
pendiente 5x-x^2	slope\:5x-x^{2}
integral de (-sin(x)+1/(cos^2(x)))	\int\:(-\sin(x)+\frac{1}{\cos^{2}(x)})dx
área e^{2x},e^x,x=ln(3)	area\:e^{2x},e^{x},x=\ln(3)

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