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Problemas populares Cálculo

integral de 0 a 1 de sqrt(x^2+1)	\int\:_{0}^{1}\sqrt{x^{2}+1}dx
(\partial)/(\partial y)(cos(x+y^2))	\frac{\partial\:}{\partial\:y}(\cos(x+y^{2}))
(\partial)/(\partial x)(2ye^{4x})	\frac{\partial\:}{\partial\:x}(2ye^{4x})
integral de (80-3t-(2t+30))	\int\:(80-3t-(2t+30))dt
derivada de (x-x^2/(2-3x+x^2))	\frac{d}{dx}(\frac{x-x^{2}}{2-3x+x^{2}})
integral de 0 a ln(6) de e^x-e^{-3x}	\int\:_{0}^{\ln(6)}e^{x}-e^{-3x}dx
derivative y=(4x)/(9-tan(x))	derivative\:y=\frac{4x}{9-\tan(x)}
derivative arctan(x)	derivative\:\arctan(x)
integral de 0 a 1 de (xsqrt(2-x^2))	\int\:_{0}^{1}(x\sqrt{2-x^{2}})dx
tangent y= x/((1+x^2),\at (3,0.3))	tangent\:y=\frac{x}{(1+x^{2}),\at\:(3,0.3)}
derivada de sqrt(1+4sin(x))	\frac{d}{dx}(\sqrt{1+4\sin(x)})
integral de-2ysqrt(-y^2+2)	\int\:-2y\sqrt{-y^{2}+2}dy
tangent f(x)=1-7x^2,(-2,-27)	tangent\:f(x)=1-7x^{2},(-2,-27)
(\partial)/(\partial x)(e^{xy}+x/y)	\frac{\partial\:}{\partial\:x}(e^{xy}+\frac{x}{y})
y^{''}+13y^'+42y=0	y^{\prime\:\prime\:}+13y^{\prime\:}+42y=0
y^{''}+4y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+4y=0,y(0)=0,y^{\prime\:}(0)=0
integral de (x^6)/6	\int\:\frac{x^{6}}{6}dx
integral de 2 a 8 de x	\int\:_{2}^{8}xdx
integral de cos^3(xsi)n^4x	\int\:\cos^{3}(xsi)n^{4}xdx
integral de (x^3)/(324)	\int\:\frac{x^{3}}{324}dx
integral de 0 a infinity de x/(1+x^3)	\int\:_{0}^{\infty\:}\frac{x}{1+x^{3}}dx
límite cuando x tiende a 4 de x^2	\lim\:_{x\to\:4}(x^{2})
9y^{''}+4y=0	9y^{\prime\:\prime\:}+4y=0
y^{''}+4y=x^2+3e^x,y(0)=0,y^'(0)=2	y^{\prime\:\prime\:}+4y=x^{2}+3e^{x},y(0)=0,y^{\prime\:}(0)=2
derivative sqrt(2-4x)	derivative\:\sqrt{2-4x}
integral de 9sin(sqrt(x))	\int\:9\sin(\sqrt{x})dx
integral de 0 a 2 de 2pix(x^2)	\int\:_{0}^{2}2πx(x^{2})dx
derivada de e^{x*cos(x})	\frac{d}{dx}(e^{x\cdot\:\cos(x)})
integral de 0 a 6 de pi(2x)^2	\int\:_{0}^{6}π(2x)^{2}dx
derivada de ln(sqrt((x^2/(x+1))))	\frac{d}{dx}(\ln(\sqrt{\frac{x^{2}}{x+1}}))
integral de ((cos(x)))/(((sin^2(x))^{1/3))}	\int\:\frac{(\cos(x))}{((\sin^{2}(x))^{\frac{1}{3}})}dx
d/(dt)(t^2+4t)	\frac{d}{dt}(t^{2}+4t)
y^'+10y=1	y^{\prime\:}+10y=1
límite cuando x tiende a 0 de 2+(3/x)	\lim\:_{x\to\:0}(2+(\frac{3}{x}))
(\partial)/(\partial y)(xy+1/x+1/y)	\frac{\partial\:}{\partial\:y}(xy+\frac{1}{x}+\frac{1}{y})
integral de tan^3(10x)	\int\:\tan^{3}(10x)dx
integral de (5x-3)/(x^2-2x-3)	\int\:\frac{5x-3}{x^{2}-2x-3}dx
(\partial)/(\partial x)((x+y)/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{x-y})
derivada de sin(cos(4x))	\frac{d}{dx}(\sin(\cos(4x)))
derivative 1/(5x^{4/5)}	derivative\:\frac{1}{5x^{\frac{4}{5}}}
derivative f(x)=(x^3+1)/(x^3-1)	derivative\:f(x)=\frac{x^{3}+1}{x^{3}-1}
x^3y^{'''}+xy^'-y=0	x^{3}y^{\prime\:\prime\:\prime\:}+xy^{\prime\:}-y=0
integral de e^{-1}	\int\:e^{-1}
derivative f(x)=(2ln(x))/x	derivative\:f(x)=\frac{2\ln(x)}{x}
(\partial)/(\partial x)(2x(4+y)^{-1})	\frac{\partial\:}{\partial\:x}(2x(4+y)^{-1})
derivada de-2(e^xsin(x+cos(x)e^x))	\frac{d}{dx}(-2(e^{x}\sin(x)+\cos(x)e^{x}))
integral de 1/(5+2x^4)(8x^3)	\int\:\frac{1}{5+2x^{4}}(8x^{3})dx
derivada de 8sin(x-4sqrt(2x))	\frac{d}{dx}(8\sin(x)-4\sqrt{2x})
derivada de 1/(\sqrt[5]{x^2})	\frac{d}{dx}(\frac{1}{\sqrt[5]{x^{2}}})
laplacetransform {cos(t)}	laplacetransform\:\left\{\cos(t)\right\}
f(t)=cos(8t)	f(t)=\cos(8t)
derivative f(x)=x^3-3x+4	derivative\:f(x)=x^{3}-3x+4
y^{''}+6y^'+5y=2x	y^{\prime\:\prime\:}+6y^{\prime\:}+5y=2x
tangent f(x)=3x^{1/2}+x^{3/2},\at x=16	tangent\:f(x)=3x^{\frac{1}{2}}+x^{\frac{3}{2}},\at\:x=16
integral de 2/(x(ln(x))^2)	\int\:\frac{2}{x(\ln(x))^{2}}dx
derivative (x^2)/((2+x))	derivative\:\frac{x^{2}}{(2+x)}
y^{''}-8y^'-17y=0	y^{\prime\:\prime\:}-8y^{\prime\:}-17y=0
derivada de 3x^2y-2x^2y^2+3y	\frac{d}{dx}(3x^{2}y-2x^{2}y^{2}+3y)
integral de 0 a pi/4 de 2tan^5(x)	\int\:_{0}^{\frac{π}{4}}2\tan^{5}(x)dx
taylor x^2-2x+42	taylor\:x^{2}-2x+42
área sqrt(1/7 x),7x^2	area\:\sqrt{\frac{1}{7}x},7x^{2}
límite cuando x tiende a infinity de (x^2-1)e^{-x^2}	\lim\:_{x\to\:\infty\:}((x^{2}-1)e^{-x^{2}})
integral de-xcos(x+pi/3)	\int\:-x\cos(x+\frac{π}{3})dx
integral de (2sqrt(x)-3\sqrt[4]{x})	\int\:(2\sqrt{x}-3\sqrt[4]{x})dx
integral de x^2e^{-2x^3}	\int\:x^{2}e^{-2x^{3}}dx
integral de sqrt(2[1-cos^2(\sqrt{2x))]}	\int\:\sqrt{2[1-\cos^{2}(\sqrt{2x})]}dx
integral de-1 a 1 de pi(2-2x^2)^2	\int\:_{-1}^{1}π(2-2x^{2})^{2}dx
y^{''}+2y^'-15y=4e^{-t}	y^{\prime\:\prime\:}+2y^{\prime\:}-15y=4e^{-t}
(\partial)/(\partial y)(x^2-y)	\frac{\partial\:}{\partial\:y}(x^{2}-y)
2y^{''}+5y^'-3y=0	2y^{\prime\:\prime\:}+5y^{\prime\:}-3y=0
(\partial)/(\partial y)(2xy+z^2)	\frac{\partial\:}{\partial\:y}(2xy+z^{2})
(\partial)/(\partial x)(3xln(y)+yln(z)-2x)	\frac{\partial\:}{\partial\:x}(3x\ln(y)+y\ln(z)-2x)
integral de sqrt(x)(x+1/x)	\int\:\sqrt{x}(x+\frac{1}{x})dx
integral de x^2	\int\:x^{2}dx
límite cuando x tiende a 0+de (2x)/(\|x\|)	\lim\:_{x\to\:0+}(\frac{2x}{\left\|x\right\|})
derivada de sqrt(x)(x^2-1)	\frac{d}{dx}(\sqrt{x}(x^{2}-1))
derivada de sqrt((x+2^2*(x^2)/2))	\frac{d}{dx}(\sqrt{(x+2)^{2}\cdot\:\frac{x^{2}}{2}})
derivada de (e^x/(5x^3))	\frac{d}{dx}(\frac{e^{x}}{5x^{3}})
tangent f(x)=(1+5x)^{12},(0,1)	tangent\:f(x)=(1+5x)^{12},(0,1)
10y^'=10*9.81-5y	10y^{\prime\:}=10\cdot\:9.81-5y
tangent y= 1/(x-1),\at x=6	tangent\:y=\frac{1}{x-1},\at\:x=6
y^{''}-4y^'+3y=0	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=0
derivada de-10sin(2x+10)	\frac{d}{dx}(-10\sin(2x+10))
y^{''}+25y=-20sin(5t)	y^{\prime\:\prime\:}+25y=-20\sin(5t)
derivada de 3cos(3x+1)	\frac{d}{dx}(3\cos(3x+1))
límite cuando x tiende a 81 de ((\sqrt[4]{x}-3))/(x-81)	\lim\:_{x\to\:81}(\frac{(\sqrt[4]{x}-3)}{x-81})
(\partial)/(\partial u)(b((((Nu))/(V(u)))^{(2/3)}))	\frac{\partial\:}{\partial\:u}(b((\frac{(Nu)}{V(u)})^{(\frac{2}{3})}))
integral de 1 a infinity de 1/(x^2)	\int\:_{1}^{\infty\:}\frac{1}{x^{2}}dx
taylor ln(x+1),2	taylor\:\ln(x+1),2
(\partial)/(\partial x)((x^2)/((y-x)^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{(y-x)^{2}})
serie de n=1 a infinity de 2/(n^8)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{8}}
integral de 8x^4	\int\:8x^{4}dx
integral de sqrt(x)sin^2(x^{3/2}-1)	\int\:\sqrt{x}\sin^{2}(x^{\frac{3}{2}}-1)dx
derivada de 7x^3-3x^2+3x-12	\frac{d}{dx}(7x^{3}-3x^{2}+3x-12)
f(x)=(ln(x+1))^2	f(x)=(\ln(x+1))^{2}
derivada de (x^2/(1+x^2))	\frac{d}{dx}(\frac{x^{2}}{1+x^{2}})
integral de (2x^3)/(x^4+5)	\int\:\frac{2x^{3}}{x^{4}+5}dx
derivative acos^2(x)+bx	derivative\:a\cos^{2}(x)+bx
integral de (sin(x)-4cos(x))	\int\:(\sin(x)-4\cos(x))dx
integral de (x+3)/((x-1)(x^2+1))	\int\:\frac{x+3}{(x-1)(x^{2}+1)}dx

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