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Problemas populares Cálculo

derivada de (1+1/x ^x)	\frac{d}{dx}((1+\frac{1}{x})^{x})
laplacetransform 0.025sin((2pit)/(10))	laplacetransform\:0.025\sin(\frac{2πt}{10})
derivada de x/((x-2^2))	\frac{d}{dx}(\frac{x}{(x-2)^{2}})
integral de 1 a ln(8) de integral de 0 a ln(y) de e^{x+y}	\int\:_{1}^{\ln(8)}\int\:_{0}^{\ln(y)}e^{x+y}dxdy
integral de x/((x^2+1)^{1/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{1}{2}}}dx
área x^4-9x^2,x^2-9,0,3	area\:x^{4}-9x^{2},x^{2}-9,0,3
integral de x/(x^2+64)	\int\:\frac{x}{x^{2}+64}dx
(dy)/(dx)=7y^2sin(x)	\frac{dy}{dx}=7y^{2}\sin(x)
integral de (e^x)/(2+e^x)	\int\:\frac{e^{x}}{2+e^{x}}dx
(\partial)/(\partial x)(xe^{2xy})	\frac{\partial\:}{\partial\:x}(xe^{2xy})
xy^2(dy)/(dx)=y^3-x^3,y(1)=1	xy^{2}\frac{dy}{dx}=y^{3}-x^{3},y(1)=1
derivative f(x)-2x^2	derivative\:f(x)-2x^{2}
(\partial)/(\partial x)(x^2y-xy^2)	\frac{\partial\:}{\partial\:x}(x^{2}y-xy^{2})
tangent f(x)=sqrt(2x+3),(3,3)	tangent\:f(x)=\sqrt{2x+3},(3,3)
derivative y=6ln(x)-x^3+2\sqrt[3]{x}	derivative\:y=6\ln(x)-x^{3}+2\sqrt[3]{x}
límite cuando x tiende a infinity de arctan(8x)	\lim\:_{x\to\:\infty\:}(\arctan(8x))
integral de 1 a infinity de 9/(x^4)	\int\:_{1}^{\infty\:}\frac{9}{x^{4}}dx
(\partial)/(\partial y)(ysin(x))	\frac{\partial\:}{\partial\:y}(y\sin(x))
límite cuando x tiende a 2+de sqrt(2^x-4)	\lim\:_{x\to\:2+}(\sqrt{2^{x}-4})
integral de (4*x+3)/(x^2-25)	\int\:\frac{4\cdot\:x+3}{x^{2}-25}dx
integral de-7sin(x)+4cos(x)	\int\:-7\sin(x)+4\cos(x)dx
integral de tan^3(2x)sec^5(2x)	\int\:\tan^{3}(2x)\sec^{5}(2x)dx
derivada de e^{2x}cos(4x)	\frac{d}{dx}(e^{2x}\cos(4x))
integral de 6x^4-5x^3+5x^2+C	\int\:6x^{4}-5x^{3}+5x^{2}+Cdx
límite cuando x tiende a infinity de arctan(1-x)	\lim\:_{x\to\:\infty\:}(\arctan(1-x))
límite cuando x tiende a 0+de arctan(ln(x))	\lim\:_{x\to\:0+}(\arctan(\ln(x)))
(dv)/(dx)-1/x v=8	\frac{dv}{dx}-\frac{1}{x}v=8
derivative (ln(x))/(e^x)	derivative\:\frac{\ln(x)}{e^{x}}
integral de xe^{-x(y+1)}	\int\:xe^{-x(y+1)}dx
integral de (3x^2+1)^3	\int\:(3x^{2}+1)^{3}dx
(dy)/(dx)+ycos(x)=2cos(x),y(0)=4	\frac{dy}{dx}+y\cos(x)=2\cos(x),y(0)=4
derivative sec(θ)	derivative\:\sec(θ)
integral de 4xln(2x)	\int\:4x\ln(2x)dx
integral de sin^3(θ)cos^4(θ)	\int\:\sin^{3}(θ)\cos^{4}(θ)dθ
(dy}{dx}=\frac{y+sqrt(x^2+y^2))/x	\frac{dy}{dx}=\frac{y+\sqrt{x^{2}+y^{2}}}{x}
derivada de (2x^3-5(x^2-5ln(x)))	\frac{d}{dx}((2x^{3}-5)(x^{2}-5\ln(x)))
derivada de x/(csc(x))	\frac{d}{dx}(\frac{x}{\csc(x)})
(\partial)/(\partial z)(x^2-xyz)	\frac{\partial\:}{\partial\:z}(x^{2}-xyz)
y^{''}-y^'-42y=0	y^{\prime\:\prime\:}-y^{\prime\:}-42y=0
derivative (x^2)/(2-x^2)	derivative\:\frac{x^{2}}{2-x^{2}}
integral de xsin(-1x)	\int\:x\sin(-1x)dx
integral de e^{-sqrt(y)}	\int\:e^{-\sqrt{y}}dy
derivada de ln(sqrt(3x+1))	\frac{d}{dx}(\ln(\sqrt{3x+1}))
límite cuando x tiende a 0 de (1-2cos(x)+cos(2x))/(x^2)	\lim\:_{x\to\:0}(\frac{1-2\cos(x)+\cos(2x)}{x^{2}})
derivative y=-2/5 x-3	derivative\:y=-\frac{2}{5}x-3
derivada de e^{cos(2x}sin(2x))	\frac{d}{dx}(e^{\cos(2x)}\sin(2x))
límite cuando x tiende a infinity de (2e^{2x})/(2x)	\lim\:_{x\to\:\infty\:}(\frac{2e^{2x}}{2x})
límite cuando x tiende a 0 de cos(9/x)	\lim\:_{x\to\:0}(\cos(\frac{9}{x}))
derivada de cos(x-2)	\frac{d}{dx}(\cos(x-2))
d/(dt)(t/3)	\frac{d}{dt}(\frac{t}{3})
integral de (16-16x)/(1-sqrt(x))	\int\:\frac{16-16x}{1-\sqrt{x}}dx
derivada de (x^2-5x/(x+1))	\frac{d}{dx}(\frac{x^{2}-5x}{x+1})
límite cuando x tiende a infinity de 0.3^x	\lim\:_{x\to\:\infty\:}(0.3^{x})
integral de sin(piy)	\int\:\sin(πy)dy
tangent 11x^2-4x	tangent\:11x^{2}-4x
área y=2x^2,y=16x-32,y=0	area\:y=2x^{2},y=16x-32,y=0
(dy)/(dt)=(y+1)/(t+1)	\frac{dy}{dt}=\frac{y+1}{t+1}
(\partial)/(\partial x)(6-arctan(7x^2+2y^2))	\frac{\partial\:}{\partial\:x}(6-\arctan(7x^{2}+2y^{2}))
integral de tln(t+2)	\int\:t\ln(t+2)dt
d/(dt)(sin(5t))	\frac{d}{dt}(\sin(5t))
y^'=2x-3y	y^{\prime\:}=2x-3y
integral de 2(tan^2(x)+tan^4(x))	\int\:2(\tan^{2}(x)+\tan^{4}(x))dx
integral de xarccot(x)	\int\:x\arccot(x)dx
f^{''}(x)=x^{-3/2},f^'(4)=7,f(0)=0	f^{\prime\:\prime\:}(x)=x^{-\frac{3}{2}},f^{\prime\:}(4)=7,f(0)=0
derivada de 2/((x-1^3))	\frac{d}{dx}(\frac{2}{(x-1)^{3}})
inverselaplace (2(s-1)e^{-2s})/(s^2-2s+2)	inverselaplace\:\frac{2\cdot\:(s-1)\cdot\:e^{-2s}}{s^{2}-2s+2}
tangent y=x^2+2,(-4,18)	tangent\:y=x^{2}+2,(-4,18)
área y=7x,y= 7/4 x,y=78-x^2	area\:y=7x,y=\frac{7}{4}x,y=78-x^{2}
integral de-1/50	\int\:-\frac{1}{50}dx
integral de 0 a 1 de (5x^4)/(1+x^5)	\int\:_{0}^{1}\frac{5x^{4}}{1+x^{5}}dx
integral de (6x-2)^{-4}	\int\:(6x-2)^{-4}dx
integral de (2r)/((1-r)^7)	\int\:\frac{2r}{(1-r)^{7}}dr
integral de-2/(sqrt(1-9x^2))	\int\:-\frac{2}{\sqrt{1-9x^{2}}}dx
integral de (8x+2)sqrt(4x^2+2x)	\int\:(8x+2)\sqrt{4x^{2}+2x}dx
derivada de 1+5sin(x)	\frac{d}{dx}(1+5\sin(x))
derivada de e^{ax}cos(bx)	\frac{d}{dx}(e^{ax}\cos(bx))
2y^'+3y=0	2y^{\prime\:}+3y=0
derivative x*sqrt(3x^2+5)	derivative\:x\cdot\:\sqrt{3x^{2}+5}
área x^2-2,x,-2,2	area\:x^{2}-2,x,-2,2
límite cuando x tiende a-4 de-x^2+4x-9	\lim\:_{x\to\:-4}(-x^{2}+4x-9)
f(x)=ln(1-x)	f(x)=\ln(1-x)
integral de x^{8.3}	\int\:x^{8.3}dx
integral de (2t+7)^{2.9}	\int\:(2t+7)^{2.9}dt
derivative 3x^3-5x+7x^4-9-x^2	derivative\:3x^{3}-5x+7x^{4}-9-x^{2}
derivative 2sin(sqrt(t))	derivative\:2\sin(\sqrt{t})
integral de arctan(2x)	\int\:\arctan(2x)dx
integral de (x^2+3)/(\sqrt[3]{x+2)}	\int\:\frac{x^{2}+3}{\sqrt[3]{x+2}}dx
(\partial)/(\partial x)(10(11x-3y+12)^5)	\frac{\partial\:}{\partial\:x}(10(11x-3y+12)^{5})
límite cuando x tiende a 1 de sin(x)	\lim\:_{x\to\:1}(\sin(x))
límite cuando r tiende a 9 de (4r-3)/(11)	\lim\:_{r\to\:9}(\frac{4r-3}{11})
integral de (x^2)/(sqrt(x^6+25))	\int\:\frac{x^{2}}{\sqrt{x^{6}+25}}dx
límite cuando x tiende a 0 de x^2cos(x^5)	\lim\:_{x\to\:0}(x^{2}\cos(x^{5}))
derivada de (x^{1/2}*(x^2+x-4))	\frac{d}{dx}((x^{\frac{1}{2}})\cdot\:(x^{2}+x-4))
derivada de x^3+bx^2+cx+d	\frac{d}{dx}(x^{3}+bx^{2}+cx+d)
(\partial)/(\partial y)(sin(xy)+xsin(y))	\frac{\partial\:}{\partial\:y}(\sin(xy)+x\sin(y))
serie de n=0 a infinity de (5/5)^n	\sum\:_{n=0}^{\infty\:}(\frac{5}{5})^{n}
xy^'+5y=x^3-x	xy^{\prime\:}+5y=x^{3}-x
(\partial)/(\partial s)(s*cos(t))	\frac{\partial\:}{\partial\:s}(s\cdot\:\cos(t))
f(x)=6cos(2x)	f(x)=6\cos(2x)
derivative f(x)=(x^3-8)/(x^2+3)	derivative\:f(x)=\frac{x^{3}-8}{x^{2}+3}

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