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Problemas populares de Cálculo

derivada de 4x^3+3x^2-6x+1	\frac{d}{dx}(4x^{3}+3x^{2}-6x+1)
límite cuando x tiende a 0+de 4/(x^2-x)	\lim\:_{x\to\:0+}(\frac{4}{x^{2}-x})
(\partial)/(\partial y)(ye^{xy}+y)	\frac{\partial\:}{\partial\:y}(ye^{xy}+y)
derivative x^3-5x^2+13	derivative\:x^{3}-5x^{2}+13
derivative 3cos(t)	derivative\:3\cos(t)
derivada de e^{sin(sqrt(x)})	\frac{d}{dx}(e^{\sin(\sqrt{x})})
integral de e^{2x}+x^3	\int\:e^{2x}+x^{3}dx
límite cuando x tiende a 1 de 10x	\lim\:_{x\to\:1}(10x)
serie de n=0 a infinity de 7x^{3n}	\sum\:_{n=0}^{\infty\:}7x^{3n}
(dy)/(dx)=((y^2+1))/(x^2+1)	\frac{dy}{dx}=\frac{(y^{2}+1)}{x^{2}+1}
integral de x^3sqrt(x^2+22)	\int\:x^{3}\sqrt{x^{2}+22}dx
y^{''}+4pi^2y=cos^3(2pix),y(10)=2	y^{\prime\:\prime\:}+4π^{2}y=\cos^{3}(2πx),y(10)=2
área y^2=x+1,x=3	area\:y^{2}=x+1,x=3
límite cuando x tiende a 2-de (x-3)/(x+2)	\lim\:_{x\to\:2-}(\frac{x-3}{x+2})
integral de (4t^3)	\int\:(4t^{3})dt
derivative f(x)= 1/x+1/(1-x)	derivative\:f(x)=\frac{1}{x}+\frac{1}{1-x}
integral de (x^3)/((5x+2)^3)	\int\:\frac{x^{3}}{(5x+2)^{3}}dx
integral de (e^x)/(e^x+3)	\int\:\frac{e^{x}}{e^{x}+3}dx
integral de sin(3x)sin(4x)	\int\:\sin(3x)\sin(4x)dx
derivada de (sqrt(x^2+1)/(\sqrt[3]{x^2+1)})	\frac{d}{dx}(\frac{\sqrt{x^{2}+1}}{\sqrt[3]{x^{2}+1}})
integral de (x^3+3)^{1/4}x^5	\int\:(x^{3}+3)^{\frac{1}{4}}x^{5}dx
integral de 3(x+5)e^{4x}	\int\:3(x+5)e^{4x}dx
derivada de (log_{10}(x)^2)	\frac{d}{dx}((\log_{10}(x))^{2})
f(x)=x^2-2x-2sin(x-2)	f(x)=x^{2}-2x-2\sin(x-2)
límite cuando x tiende a 1-de (2x+1)/(x-1)	\lim\:_{x\to\:1-}(\frac{2x+1}{x-1})
integral de (4e^x+12x^3+4x)	\int\:(4e^{x}+12x^{3}+4x)dx
(d^2)/(dx^2)(3ln(sec(x)+tan(x)))	\frac{d^{2}}{dx^{2}}(3\ln(\sec(x)+\tan(x)))
integral de-1 a 1 de cos(x)	\int\:_{-1}^{1}\cos(x)dx
y^{''}+2y=e^x+x^3	y^{\prime\:\prime\:}+2y=e^{x}+x^{3}
derivative f(x)=sin^6(x)	derivative\:f(x)=\sin^{6}(x)
integral de (e^x)/(sqrt(1-4e^{2x))}	\int\:\frac{e^{x}}{\sqrt{1-4e^{2x}}}dx
inversalaplace (1.5)/(((s+1)))	inverselaplace\:\frac{1.5}{((s+1))}
y^'=e^{4y}sin(5x)	y^{\prime\:}=e^{4y}\sin(5x)
d/(dθ)(sin(3θ))	\frac{d}{dθ}(\sin(3θ))
integral de x^2a^{2x}	\int\:x^{2}a^{2x}dx
derivada de sech(x-3ln(x))	\frac{d}{dx}(\sech(x-3)\ln(x))
integral de 3/(sqrt(x)(1+3\sqrt{x))^2}	\int\:\frac{3}{\sqrt{x}(1+3\sqrt{x})^{2}}dx
integral de x/(sqrt(a^4-x^4))	\int\:\frac{x}{\sqrt{a^{4}-x^{4}}}dx
pendiente y=5x-x^2	slope\:y=5x-x^{2}
límite cuando x tiende a infinity de 2x+1/x	\lim\:_{x\to\:\infty\:}(2x+\frac{1}{x})
integral de 3/2 a 3 de sqrt(9-x^2)	\int\:_{\frac{3}{2}}^{3}\sqrt{9-x^{2}}dx
derivada de sqrt(cos(x^2))	\frac{d}{dx}(\sqrt{\cos(x^{2})})
integral de 0 a 3 de 1/(x^2-x-2)	\int\:_{0}^{3}\frac{1}{x^{2}-x-2}dx
límite cuando x tiende a 3 de 3x^2-2x+5	\lim\:_{x\to\:3}(3x^{2}-2x+5)
integral de (sin(x))/(sqrt(cos(x)))	\int\:\frac{\sin(x)}{\sqrt{\cos(x)}}dx
integral de 2(3x+4)^{-4}	\int\:2(3x+4)^{-4}dx
tangent f(x)= x/(x+1),(1,2)	tangent\:f(x)=\frac{x}{x+1},(1,2)
derivada de x/(1+sin(x))	\frac{d}{dx}(\frac{x}{1+\sin(x)})
derivative 4^{3-x^2}	derivative\:4^{3-x^{2}}
inversalaplace (16)/(s^2+16)	inverselaplace\:\frac{16}{s^{2}+16}
4x^{''}+2x^'+4x=100	4x^{\prime\:\prime\:}+2x^{\prime\:}+4x=100
integral de ((x^2))/(sqrt(2x+1))	\int\:\frac{(x^{2})}{\sqrt{2x+1}}dx
integral de x/(1-x)	\int\:\frac{x}{1-x}dx
derivada de 5(2xcos(7x-7x^2sin(7x)))	\frac{d}{dx}(5(2x\cos(7x)-7x^{2}\sin(7x)))
integral de cos^3(20x)	\int\:\cos^{3}(20x)dx
y^{''}+2y=sin(sqrt(2)x),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+2y=\sin(\sqrt{2}x),y(0)=0,y^{\prime\:}(0)=0
límite cuando x tiende a 2+de (\|x\|)/(2-x)	\lim\:_{x\to\:2+}(\frac{\left\|x\right\|}{2-x})
integral de (x^3+5x^2-4)/(x^2)	\int\:\frac{x^{3}+5x^{2}-4}{x^{2}}dx
integral de 30x+sin(x)+C	\int\:30x+\sin(x)+Cdx
integral de-1 a 0 de-x+2x^2	\int\:_{-1}^{0}-x+2x^{2}dx
límite cuando x tiende a pi de 6cot(x)	\lim\:_{x\to\:π}(6\cot(x))
(d^2y)/(dx^2)=sqrt(1+(dy)/(dx))	\frac{d^{2}y}{dx^{2}}=\sqrt{1+\frac{dy}{dx}}
límite cuando x tiende a 0 de 1/(sin^2(2x))	\lim\:_{x\to\:0}(\frac{1}{\sin^{2}(2x)})
y^'=ty+t	y^{\prime\:}=ty+t
xy^'+y=-5xy^2	xy^{\prime\:}+y=-5xy^{2}
derivada de (2x-4(-3x^2+1))	\frac{d}{dx}((2x-4)(-3x^{2}+1))
límite cuando x tiende a-5 de (5-\|x\|)/(5+x)	\lim\:_{x\to\:-5}(\frac{5-\left\|x\right\|}{5+x})
integral de tan^{15}(x)sec^4(x)	\int\:\tan^{15}(x)\sec^{4}(x)dx
integral de 1/(x^2sqrt(4x+1))	\int\:\frac{1}{x^{2}\sqrt{4x+1}}dx
derivada de-e^{-x}+1	\frac{d}{dx}(-e^{-x}+1)
integral de-2 a-1 de (x-1/(x^2))	\int\:_{-2}^{-1}(x-\frac{1}{x^{2}})dx
integral de 1/(x^2+3x+9)	\int\:\frac{1}{x^{2}+3x+9}dx
f(x)= 1/(x+2)	f(x)=\frac{1}{x+2}
(\partial)/(\partial y)(y^3+xy^2+y)	\frac{\partial\:}{\partial\:y}(y^{3}+xy^{2}+y)
integral de (x^2)/(x^6+9)	\int\:\frac{x^{2}}{x^{6}+9}dx
(\partial)/(\partial x)(log_{e}(sqrt(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\log_{e}(\sqrt{x^{2}+y^{2}}))
área y=x^2,y=2x	area\:y=x^{2},y=2x
derivada de x^2ln(2x+1)	\frac{d}{dx}(x^{2}\ln(2x+1))
integral de x^{13}e^{x^{14}}	\int\:x^{13}e^{x^{14}}dx
derivada de 2^{(x^2+1})	\frac{d}{dx}(2^{(x^{2}+1)})
límite cuando x tiende a-8 de 2	\lim\:_{x\to\:-8}(2)
derivada de 5x-9x^2	\frac{d}{dx}(5x-9x^{2})
derivada de (x+4/(sqrt(x^2+4)))	\frac{d}{dx}(\frac{x+4}{\sqrt{x^{2}+4}})
integral de-2pi a-pi de sin^2(x)	\int\:_{-2π}^{-π}\sin^{2}(x)dx
límite cuando x tiende a 3 de h(x)	\lim\:_{x\to\:3}(h(x))
derivative y=8excos(x)	derivative\:y=8ex\cos(x)
(dy)/(dx)+(2x)/((1+x^2))y=-2xy^2	\frac{dy}{dx}+\frac{2x}{(1+x^{2})}y=-2xy^{2}
derivada de 1-xe^x	\frac{d}{dx}(1-xe^{x})
área x^2,x+2,y=0	area\:x^{2},x+2,y=0
derivada de (1-x^3)	\frac{d}{dx}((1-x)^{3})
derivative y=sec^2(x)-tan^2(x)	derivative\:y=\sec^{2}(x)-\tan^{2}(x)
límite cuando x tiende a infinity de A^x	\lim\:_{x\to\:\infty\:}(A^{x})
derivative 8-xe^x	derivative\:8-xe^{x}
inversalaplace ((s-3))/(s^2-4s+3)	inverselaplace\:\frac{(s-3)}{s^{2}-4s+3}
derivative 4.8t^{1/3}	derivative\:4.8t^{\frac{1}{3}}
integral de 0 a 1 de xe^{9x}	\int\:_{0}^{1}xe^{9x}dx
derivada de (a^{2/3}-x^{2/3}^{3/2})	\frac{d}{dx}((a^{\frac{2}{3}}-x^{\frac{2}{3}})^{\frac{3}{2}})
(\partial)/(\partial y)(e^{-9t}cos(pix))	\frac{\partial\:}{\partial\:y}(e^{-9t}\cos(πx))
derivada de (1-sin(x)^3)	\frac{d}{dx}((1-\sin(x))^{3})
integral de x/(e^{-x)}	\int\:\frac{x}{e^{-x}}dx

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