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Problemas populares de Cálculo

(\partial)/(\partial t)(s^2t)	\frac{\partial\:}{\partial\:t}(s^{2}t)
serie de n=2 a infinity de e^{3-6n}	\sum\:_{n=2}^{\infty\:}e^{3-6n}
derivada de 3/(2x+7)	\frac{d}{dx}(\frac{3}{2x+7})
integral de-2 a 2 de (10)/(x^2-2x-24)	\int\:_{-2}^{2}\frac{10}{x^{2}-2x-24}dx
integral de-e^x	\int\:-e^{x}dx
f(x)=1-2cos(x)	f(x)=1-2\cos(x)
integral de (2x^3)/3	\int\:\frac{2x^{3}}{3}dx
integral de cot(x/9)	\int\:\cot(\frac{x}{9})dx
derivative x/((x^2+sqrt(3x))^5)	derivative\:\frac{x}{(x^{2}+\sqrt{3x})^{5}}
límite cuando x tiende a-1 de x^2-x-2	\lim\:_{x\to\:-1}(x^{2}-x-2)
límite cuando x tiende a 7 de sec((pix)/6)	\lim\:_{x\to\:7}(\sec(\frac{πx}{6}))
tangent x^2-2x-3	tangent\:x^{2}-2x-3
(dy)/(dx)=(2x)/(x^2-9)	\frac{dy}{dx}=\frac{2x}{x^{2}-9}
(\partial)/(\partial x)(xe^{xy}cos(2x))	\frac{\partial\:}{\partial\:x}(xe^{xy}\cos(2x))
límite cuando x tiende a infinity de xn(x)	\lim\:_{x\to\:\infty\:}(xn(x))
integral de 0 a 3.5 de 130x	\int\:_{0}^{3.5}130xdx
integral de 0 a 2 de (-x^2+2x)^2	\int\:_{0}^{2}(-x^{2}+2x)^{2}dx
integral de t^{-2}	\int\:t^{-2}dt
laplacetransformación 2(t-3)^2	laplacetransform\:2(t-3)^{2}
tangent f(x)=x^4-3x^2+2,\at x=1	tangent\:f(x)=x^{4}-3x^{2}+2,\at\:x=1
derivada de 7+cot(x-2csc(x))	\frac{d}{dx}(7+\cot(x)-2\csc(x))
integral de 2/x+sec^2(x)	\int\:\frac{2}{x}+\sec^{2}(x)dx
integral de 0 a 2 de t^2	\int\:_{0}^{2}t^{2}dt
d/(dt)(4/3 pit^3)	\frac{d}{dt}(\frac{4}{3}πt^{3})
(\partial)/(\partial t)(6e^xt+xt)	\frac{\partial\:}{\partial\:t}(6e^{x}t+xt)
(dy}{dx}=\frac{x^7-2y)/x	\frac{dy}{dx}=\frac{x^{7}-2y}{x}
integral de 0 a 2 de x^3-2x^2	\int\:_{0}^{2}x^{3}-2x^{2}dx
derivada de (3x/(x+2))	\frac{d}{dx}(\frac{3x}{x+2})
límite cuando x tiende a 2-de (x+3)/(x-2)	\lim\:_{x\to\:2-}(\frac{x+3}{x-2})
integral de (sin^2(2x))(cos^4(2x))	\int\:(\sin^{2}(2x))(\cos^{4}(2x))dx
derivative x^2-8	derivative\:x^{2}-8
integral de (tan^2(x)+cot^2(x)+2)	\int\:(\tan^{2}(x)+\cot^{2}(x)+2)dx
integral de (40)/(x^2+25)	\int\:\frac{40}{x^{2}+25}dx
derivada de 3x^2cos(x)	\frac{d}{dx}(3x^{2}\cos(x))
(dy)/(dx)=(y-1)^2+0.01	\frac{dy}{dx}=(y-1)^{2}+0.01
derivative h(x)=(-3x+2)^4(-2x+3)^3	derivative\:h(x)=(-3x+2)^{4}(-2x+3)^{3}
integral de t^2sin(β)t	\int\:t^{2}\sin(β)tdt
integral de csc(x)cot(x)	\int\:\csc(x)\cot(x)dx
derivative f(x)=-8xsin(4x^2+1)	derivative\:f(x)=-8x\sin(4x^{2}+1)
derivative y= 1/(\sqrt[4]{3x^2+7)}	derivative\:y=\frac{1}{\sqrt[4]{3x^{2}+7}}
derivada de-{f}(xsin(x)+{g}(x)cos(x))	\frac{d}{dx}(-{f}(x)\sin(x)+{g}(x)\cos(x))
integral de (x+3)/(sqrt(5-4x-x^2))	\int\:\frac{x+3}{\sqrt{5-4x-x^{2}}}dx
(d^2)/(dx^2)(((x+b)(x-a))/((x-b)))	\frac{d^{2}}{dx^{2}}(\frac{(x+b)(x-a)}{(x-b)})
(cos(x)sin(x)-xy^22)dx+y(1-x^2)dy=0	(\cos(x)\sin(x)-xy^{2}2)dx+y(1-x^{2})dy=0
derivative (3x)/(2-cot(x))	derivative\:\frac{3x}{2-\cot(x)}
d/(d{z)}(e^{3{x}+4{y}}cos(5{z}))	\frac{d}{d{z}}(e^{3{x}+4{y}}\cos(5{z}))
derivative ((e^x))/(3x^4)	derivative\:\frac{(e^{x})}{3x^{4}}
integral de tan^5(5x)(sec^3(5x)-1)	\int\:\tan^{5}(5x)(\sec^{3}(5x)-1)dx
(\partial)/(\partial x)(y*ln(x^4+y^4+1)-8)	\frac{\partial\:}{\partial\:x}(y\cdot\:\ln(x^{4}+y^{4}+1)-8)
límite cuando x tiende a 0 de ((343+x)^{1/3}-7)/((x))	\lim\:_{x\to\:0}(\frac{(343+x)^{\frac{1}{3}}-7}{(x)})
integral de (5x+2)/((x-5)(x+5)(x-1))	\int\:\frac{5x+2}{(x-5)(x+5)(x-1)}dx
derivada de (xy^3/(x^2+y^2))	\frac{d}{dx}(\frac{xy^{3}}{x^{2}+y^{2}})
integral de sqrt(x^2+4x+5)	\int\:\sqrt{x^{2}+4x+5}dx
(\partial)/(\partial x)((9x+2y)^5)	\frac{\partial\:}{\partial\:x}((9x+2y)^{5})
integral de t-1 a t de (1-t+x)*x	\int\:_{t-1}^{t}(1-t+x)\cdot\:xdx
integral de 0 a 1/4 de 2arcsin(4y)	\int\:_{0}^{\frac{1}{4}}2\arcsin(4y)dy
integral de sin((pix^2)/2)	\int\:\sin(\frac{πx^{2}}{2})dx
derivative f(x)=(x+3)/(x-3)	derivative\:f(x)=\frac{x+3}{x-3}
integral de e^x(x^2-2x+2)	\int\:e^{x}(x^{2}-2x+2)dx
derivative arctan(x^4)	derivative\:\arctan(x^{4})
derivative y= 1/(x+1)+1	derivative\:y=\frac{1}{x+1}+1
derivada de sin(1+x^2)	\frac{d}{dx}(\sin(1+x^{2}))
y^{''}+2y^'+5y=e^{-x}sec(2x)	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=e^{-x}\sec(2x)
(d^2)/(dx^2)(6csc(x))	\frac{d^{2}}{dx^{2}}(6\csc(x))
derivada de xsinh(x^2)	\frac{d}{dx}(x\sinh(x^{2}))
integral de 1/(x^3sqrt(x^2-16))	\int\:\frac{1}{x^{3}\sqrt{x^{2}-16}}dx
derivative f(x)=sin(2x)+2cos(x)	derivative\:f(x)=\sin(2x)+2\cos(x)
límite cuando x tiende a-4-de \|x+4\|-2x	\lim\:_{x\to\:-4-}(\left\|x+4\right\|-2x)
integral de 120 a 150 de e^{-x/(100)}	\int\:_{120}^{150}e^{-\frac{x}{100}}dx
integral de 1 a infinity de 2/(x^2)	\int\:_{1}^{\infty\:}\frac{2}{x^{2}}dx
integral de x(x+5)^{21}	\int\:x(x+5)^{21}dx
serie de x=0 a infinity de 1/(x^{0.51)}	\sum\:_{x=0}^{\infty\:}\frac{1}{x^{0.51}}
integral de sin(7x)cos(2x)	\int\:\sin(7x)\cos(2x)dx
(\partial)/(\partial y)(x-x^2y^2)	\frac{\partial\:}{\partial\:y}(x-x^{2}y^{2})
integral de 8x^4-5x^3+4x^2+C	\int\:8x^{4}-5x^{3}+4x^{2}+Cdx
derivative \sqrt[3]{t^2}+2sqrt(t^3)	derivative\:\sqrt[3]{t^{2}}+2\sqrt{t^{3}}
integral de 0 a 1 de (2x)/((x^2+2)^2)	\int\:_{0}^{1}\frac{2x}{(x^{2}+2)^{2}}dx
(\partial)/(\partial y)(8e^xln(y))	\frac{\partial\:}{\partial\:y}(8e^{x}\ln(y))
(\partial)/(\partial x)(7e^{5x})	\frac{\partial\:}{\partial\:x}(7e^{5x})
f(x)=e^{x^2-4}	f(x)=e^{x^{2}-4}
límite cuando x tiende a 2 de (x+3)^2	\lim\:_{x\to\:2}((x+3)^{2})
derivative ln(x+e)	derivative\:\ln(x+e)
(\partial)/(\partial v)(13.12+0.6215T-11.37v^{0.16}+0.3965Tv^{0.16})	\frac{\partial\:}{\partial\:v}(13.12+0.6215T-11.37v^{0.16}+0.3965Tv^{0.16})
(\partial)/(\partial x)(x^2+y^2-4y)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-4y)
límite cuando x tiende a 2 de 5^2-4x+1	\lim\:_{x\to\:2}(5^{2}-4x+1)
serie de n=0 a infinity de 2*(4/5)^n	\sum\:_{n=0}^{\infty\:}2\cdot\:(\frac{4}{5})^{n}
área y=9-x^2,y=-8x	area\:y=9-x^{2},y=-8x
derivative (2x)/(x^2-4)	derivative\:\frac{2x}{x^{2}-4}
derivada de \sqrt[3]{1-x}	\frac{d}{dx}(\sqrt[3]{1-x})
integral de (5x)/(sqrt(5x^2+4y^2))	\int\:\frac{5x}{\sqrt{5x^{2}+4y^{2}}}dx
integral de-8x^{-9}	\int\:-8x^{-9}dx
integral de 0.733xe^{-0.27x}	\int\:0.733xe^{-0.27x}dx
integral de 18xcos(3x)	\int\:18x\cos(3x)dx
xy+y^2-x^2*(dy)/(dx)=0	xy+y^{2}-x^{2}\cdot\:\frac{dy}{dx}=0
límite cuando x tiende a-1 de \sqrt[3]{-1}	\lim\:_{x\to\:-1}(\sqrt[3]{-1})
integral de sqrt(x+x^2)	\int\:\sqrt{x+x^{2}}dx
integral de 8cot(e^{4x})e^{4x}	\int\:8\cot(e^{4x})e^{4x}dx
límite cuando x tiende a 3 de sqrt(x-3)	\lim\:_{x\to\:3}(\sqrt{x-3})
derivada de (1+x^{-1/2})	\frac{d}{dx}((1+x)^{-\frac{1}{2}})
y^'=-sin(x)-sin(x)y,y(0)=8	y^{\prime\:}=-\sin(x)-\sin(x)y,y(0)=8

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