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Problemas populares Cálculo

pendiente (7,5),(-4,-1)	slope\:(7,5),(-4,-1)
integral de 0 a pi/4 de sec^5(x)	\int\:_{0}^{\frac{π}{4}}\sec^{5}(x)dx
derivada de 8(x+4^{3/2})	\frac{d}{dx}(8(x+4)^{\frac{3}{2}})
y^'=e^{x-y},y(0)=2	y^{\prime\:}=e^{x-y},y(0)=2
límite cuando x tiende a 2 de 5x-7	\lim\:_{x\to\:2}(5x-7)
límite cuando x tiende a pi de ln\|cos(x)-9\|	\lim\:_{x\to\:π}(\ln\left\|\cos(x)-9\right\|)
integral de 20-0.01x	\int\:20-0.01xdx
partialfraction x/(x-1)	partialfraction\:\frac{x}{x-1}
derivada de x(1-x^2)	\frac{d}{dx}(x(1-x)^{2})
límite cuando (x,y) tiende a (pi, pi/2) de ysin(x-y)	\lim\:_{(x,y)\to\:(π,\frac{π}{2})}(y\sin(x-y))
tangent f(x)=(x^2-8)^5,\at x=3	tangent\:f(x)=(x^{2}-8)^{5},\at\:x=3
límite cuando (x,y) tiende a (0,0) de y/x	\lim\:_{(x,y)\to\:(0,0)}(\frac{y}{x})
tangent f(x)=(x^2-48)^4	tangent\:f(x)=(x^{2}-48)^{4}
derivada de 6x^{1/3}	\frac{d}{dx}(6x^{\frac{1}{3}})
integral de 11tan^3(θ)	\int\:11\tan^{3}(θ)dθ
límite cuando x tiende a 2 de (3-sqrt(4x+1))/((x^2-2x))	\lim\:_{x\to\:2}(\frac{3-\sqrt{4x+1}}{(x^{2}-2x)})
y^'=(6x^5y)/(ln(y))	y^{\prime\:}=\frac{6x^{5}y}{\ln(y)}
integral de 3x^2+4x	\int\:3x^{2}+4xdx
límite cuando t tiende a 0 de (e^t-t-1)/t	\lim\:_{t\to\:0}(\frac{e^{t}-t-1}{t})
integral de 0 a 2 de pi(e^{-x^2})^2	\int\:_{0}^{2}π(e^{-x^{2}})^{2}dx
derivative f(x)=7e^xcos(x)	derivative\:f(x)=7e^{x}\cos(x)
integral de 6cot^4(x)	\int\:6\cot^{4}(x)dx
y^{''}-4y=e^{-2x}-2x,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-4y=e^{-2x}-2x,y(0)=0,y^{\prime\:}(0)=0
y^{''}+y= 3/2 sin(x)	y^{\prime\:\prime\:}+y=\frac{3}{2}\sin(x)
integral de x+1sqrt(x)	\int\:x+1\sqrt{x}dx
integral de (sin(2x))/(18+cos^2(x))	\int\:\frac{\sin(2x)}{18+\cos^{2}(x)}dx
y^'+3y+5=0	y^{\prime\:}+3y+5=0
integral de e^{x-3}	\int\:e^{x-3}dx
derivada de sin^4(2xcos^43x)	\frac{d}{dx}(\sin^{4}(2xco)s^{4}3x)
paridad f(x)=x^{tan(x)}	parity\:f(x)=x^{\tan(x)}
integral de e^{-y}cos(y)	\int\:e^{-y}\cos(y)dy
integral de sqrt(45+4x-x^2)	\int\:\sqrt{45+4x-x^{2}}dx
y^'=2t	y^{\prime\:}=2t
derivative f(x)=x+11	derivative\:f(x)=x+11
integral de-4e^{2x}	\int\:-4e^{2x}dx
y=0	y=0
integral de x*sin(2x)	\int\:x\cdot\:\sin(2x)dx
integral de 4\sqrt[3]{x}+3\sqrt[6]{x^5}	\int\:4\sqrt[3]{x}+3\sqrt[6]{x^{5}}dx
sqrt(1-x^2)y^'-sqrt(1-y^2)=0	\sqrt{1-x^{2}}y^{\prime\:}-\sqrt{1-y^{2}}=0
derivative 1/x+tan(x)	derivative\:\frac{1}{x}+\tan(x)
integral de 1/(-8sqrt(x)-8x)	\int\:\frac{1}{-8\sqrt{x}-8x}dx
tangent f(x)=x^3-4x,\at x=-2	tangent\:f(x)=x^{3}-4x,\at\:x=-2
integral de 2 a 4 de (2x+5)/(5-x)	\int\:_{2}^{4}\frac{2x+5}{5-x}dx
y^'=xe^{-y}	y^{\prime\:}=xe^{-y}
3y^{''}+5y^'-2y=0	3y^{\prime\:\prime\:}+5y^{\prime\:}-2y=0
límite cuando x tiende a 1 de ln(9x)+e^x	\lim\:_{x\to\:1}(\ln(9x)+e^{x})
integral de (3x-1)^3	\int\:(3x-1)^{3}dx
integral de (4x^2-8x)/((x-1)^2(x^2+1))	\int\:\frac{4x^{2}-8x}{(x-1)^{2}(x^{2}+1)}dx
límite cuando x tiende a 0 de (csc(2x))/x	\lim\:_{x\to\:0}(\frac{\csc(2x)}{x})
(\partial)/(\partial x)((x/y)e^{xy})	\frac{\partial\:}{\partial\:x}((\frac{x}{y})e^{xy})
implicit (dy)/(dx),y=7x^{-4}	implicit\:\frac{dy}{dx},y=7x^{-4}
área 0.4e^{-0.4t},0,4	area\:0.4e^{-0.4t},0,4
derivada de cos(ln(x^4))	\frac{d}{dx}(\cos(\ln(x^{4})))
integral de 0 a 2 de (-2x^2-4)	\int\:_{0}^{2}(-2x^{2}-4)dx
derivada de (2x-1^5)	\frac{d}{dx}((2x-1)^{5})
integral de 1/(tan(x)-sin(x))	\int\:\frac{1}{\tan(x)-\sin(x)}dx
integral de e^{5x+1}	\int\:e^{5x+1}dx
integral de x^2e^{3x^3}	\int\:x^{2}e^{3x^{3}}dx
integral de x/(sqrt(2x-1))	\int\:\frac{x}{\sqrt{2x-1}}dx
derivative f(x)=1-5x	derivative\:f(x)=1-5x
integral de 0 a 8 de 1/(sqrt(64+t^2))	\int\:_{0}^{8}\frac{1}{\sqrt{64+t^{2}}}dt
integral de (7-x)/(x^2-4x+4)	\int\:\frac{7-x}{x^{2}-4x+4}dx
derivada de cos(wx)	\frac{d}{dx}(\cos(wx))
d/(dt)(\sqrt[4]{(e^{5t})/(t^2+1)})	\frac{d}{dt}(\sqrt[4]{\frac{e^{5t}}{t^{2}+1}})
(y^{''})/y =-3	\frac{y^{\prime\:\prime\:}}{y}=-3
integral de-25sin(-5t)	\int\:-25\sin(-5t)dt
derivada de arccos(e^{6x})	\frac{d}{dx}(\arccos(e^{6x}))
límite cuando x tiende a-2-de x+2	\lim\:_{x\to\:-2-}(x+2)
(dy)/(dx)=x^2e^{-4x}-4y	\frac{dy}{dx}=x^{2}e^{-4x}-4y
límite cuando x tiende a-1 de 2x^3-5x+6x-1	\lim\:_{x\to\:-1}(2x^{3}-5x+6x-1)
integral de 1/(cos^2(θ)sqrt(1+tan(θ)))	\int\:\frac{1}{\cos^{2}(θ)\sqrt{1+\tan(θ)}}dθ
(dx)/(dt)=a-bx	\frac{dx}{dt}=a-bx
derivada de e^{4^x}	\frac{d}{dx}(e^{4^{x}})
serie de n=1 a infinity de 1/((n^2+5n))	\sum\:_{n=1}^{\infty\:}\frac{1}{(n^{2}+5n)}
(\partial)/(\partial x)(yln(y))	\frac{\partial\:}{\partial\:x}(y\ln(y))
integral de sin(8x)cos(6x)	\int\:\sin(8x)\cos(6x)dx
(2ln(x))^'	(2\ln(x))^{\prime\:}
integral de (x+5)^7	\int\:(x+5)^{7}dx
integral de 1 a 2 de xsqrt(x-1)	\int\:_{1}^{2}x\sqrt{x-1}dx
derivada de ax^4	\frac{d}{dx}(ax^{4})
(\partial)/(\partial x)(((5x+4))/(5y+1))	\frac{\partial\:}{\partial\:x}(\frac{(5x+4)}{5y+1})
derivada de 3x-pi	\frac{d}{dx}(3x-π)
límite cuando x tiende a 0 de 2/3 x^{-1/3}	\lim\:_{x\to\:0}(\frac{2}{3}x^{-\frac{1}{3}})
integral de e^t-1	\int\:e^{t}-1dt
integral de-6 a 6 de (e^x-e^{-x})^2	\int\:_{-6}^{6}(e^{x}-e^{-x})^{2}dx
derivative (cos(t))/(t^7)	derivative\:\frac{\cos(t)}{t^{7}}
(\partial)/(\partial b)((ab)/(2c+15))	\frac{\partial\:}{\partial\:b}(\frac{ab}{2c+15})
límite cuando x tiende a 0 de xe^{2x}	\lim\:_{x\to\:0}(xe^{2x})
área y=3(x^3-x),y=0	area\:y=3(x^{3}-x),y=0
integral de-1 a 2 de (2x-1)(4x+5)	\int\:_{-1}^{2}(2x-1)(4x+5)dx
integral de 1/(a^2sin^2(x)+b^2cos^2(x))	\int\:\frac{1}{a^{2}\sin^{2}(x)+b^{2}\cos^{2}(x)}dx
(\partial)/(\partial x)(1/(sqrt(x^2+a^2)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{x^{2}+a^{2}}})
derivative (x^2)/(3(1-x))	derivative\:\frac{x^{2}}{3(1-x)}
derivative (4x-3)^4	derivative\:(4x-3)^{4}
integral de xarctan(7x)	\int\:x\arctan(7x)dx
límite cuando z tiende a 0 de (sin(z))/z	\lim\:_{z\to\:0}(\frac{\sin(z)}{z})
derivative f(x)= 4/(x^5)	derivative\:f(x)=\frac{4}{x^{5}}
derivative 11e^{x^2}	derivative\:11e^{x^{2}}
integral de-1(x-4)	\int\:-1(x-4)dx
derivada de (2x^2+7(8x-4))	\frac{d}{dx}((2x^{2}+7)(8x-4))

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