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Problemas populares de Cálculo

derivada de 2sin(x-cos(2x))	\frac{d}{dx}(2\sin(x)-\cos(2x))
y^{''}-4y^'+3y=10e^{3t}	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=10e^{3t}
(dy)/(dx)=(sin(x))/(cos(y))	\frac{dy}{dx}=\frac{\sin(x)}{\cos(y)}
integral de 0 a infinity de (e^{-x})	\int\:_{0}^{\infty\:}(e^{-x})dx
integral de 11x^{10}	\int\:11x^{10}dx
límite cuando x tiende a 1 de (x^2)/(x^2-1)	\lim\:_{x\to\:1}(\frac{x^{2}}{x^{2}-1})
derivative y=ln(3)	derivative\:y=\ln(3)
(dy)/(dx)+y^7x+9y=0	\frac{dy}{dx}+y^{7}x+9y=0
integral de 0 a 1 de (56)/(8x^2+9x+1)	\int\:_{0}^{1}\frac{56}{8x^{2}+9x+1}dx
integral de (x+1)/(\sqrt[4]{x)}(x-1)	\int\:\frac{x+1}{\sqrt[4]{x}}(x-1)dx
integral de 1 a 3 de 13r^3ln(r)	\int\:_{1}^{3}13r^{3}\ln(r)dr
serie de n=0 a infinity de 5n	\sum\:_{n=0}^{\infty\:}5n
integral de ((7(1-tan^2(x))))/(sec^2(x))	\int\:\frac{(7(1-\tan^{2}(x)))}{\sec^{2}(x)}dx
(\partial)/(\partial x)(ln(4x^2+7y^2+4))	\frac{\partial\:}{\partial\:x}(\ln(4x^{2}+7y^{2}+4))
integral de x^2In(x)	\int\:x^{2}In(x)dx
f(x)=2e^{5x}	f(x)=2e^{5x}
límite cuando x tiende a 3 de x^2-3x+5	\lim\:_{x\to\:3}(x^{2}-3x+5)
serie de n=1 a infinity de (n^2)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{4^{n}}
derivada de (x^2-1/(x-1))	\frac{d}{dx}(\frac{x^{2}-1}{x-1})
límite cuando x tiende a 4 de sqrt(4)	\lim\:_{x\to\:4}(\sqrt{4})
y^{''}-y^'-6y=0,y(0)=-2,y^'(0)=4	y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=-2,y^{\prime\:}(0)=4
(\partial)/(\partial x)(3xy+e^{-x^2y})	\frac{\partial\:}{\partial\:x}(3xy+e^{-x^{2}y})
integral de x/(2e^x)	\int\:\frac{x}{2e^{x}}dx
derivative 6x^4(7-6x)^3	derivative\:6x^{4}(7-6x)^{3}
(\partial)/(\partial y)(sin^4(1-4xy+y^2))	\frac{\partial\:}{\partial\:y}(\sin^{4}(1-4xy+y^{2}))
derivative f(x)=500-y-(4y)/(y+3)	derivative\:f(x)=500-y-\frac{4y}{y+3}
integral de 1/(sqrt(4x^2+5))	\int\:\frac{1}{\sqrt{4x^{2}+5}}dx
límite cuando x tiende a 0 de cos(pi)x	\lim\:_{x\to\:0}(\cos(π)x)
integral de 3x^{-2/3}	\int\:3x^{-\frac{2}{3}}dx
integral de e^{2x}(sin(3x))	\int\:e^{2x}(\sin(3x))dx
integral de 4x^2+7x-4	\int\:4x^{2}+7x-4dx
derivative f(x)=e^x-x^8	derivative\:f(x)=e^{x}-x^{8}
tangent f(x)=4x+x^2,\at x=0	tangent\:f(x)=4x+x^{2},\at\:x=0
integral de 2 a 5 de pi(ln(7x))^2	\int\:_{2}^{5}π(\ln(7x))^{2}dx
d/(da)(5a^9b^3+15a^6b^7)	\frac{d}{da}(5a^{9}b^{3}+15a^{6}b^{7})
integral de sec^6(x)tan^3(x)	\int\:\sec^{6}(x)\tan^{3}(x)dx
integral de x/(2+x)	\int\:\frac{x}{2+x}dx
derivada de (7x/(2^x))	\frac{d}{dx}(\frac{7x}{2^{x}})
(dy)/(dx)=8x^7-2sec^2(x)	\frac{dy}{dx}=8x^{7}-2\sec^{2}(x)
integral de ((x^2))/((x^3+1)^2)	\int\:\frac{(x^{2})}{(x^{3}+1)^{2}}dx
y^{''}+2y^'+2y=sin(sqrt(2)t)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(\sqrt{2}t)
integral de (sec(ln(x))tan(ln(x)))/x	\int\:\frac{\sec(\ln(x))\tan(\ln(x))}{x}dx
(-2x)^'	(-2x)^{\prime\:}
derivative f(x)=x^9	derivative\:f(x)=x^{9}
(6x-0.75x^2)^'	(6x-0.75x^{2})^{\prime\:}
derivada de x(x-2^3)	\frac{d}{dx}(x(x-2)^{3})
integral de (y^2)/(y^6+1)	\int\:\frac{y^{2}}{y^{6}+1}dy
serie de n=1 a infinity de 7(-4)^{n-1}	\sum\:_{n=1}^{\infty\:}7(-4)^{n-1}
derivative 1/((x^2+1))	derivative\:\frac{1}{(x^{2}+1)}
área 5x,x^2	area\:5x,x^{2}
límite cuando x tiende a 0 de x/(x+2)	\lim\:_{x\to\:0}(\frac{x}{x+2})
integral de sec^4(x)tan^8(x)	\int\:\sec^{4}(x)\tan^{8}(x)dx
integral de (x^3-2sin(3x))^2	\int\:(x^{3}-2\sin(3x))^{2}dx
límite cuando x tiende a infinity de (e^{2x}-e^x)/(ln(x+1))	\lim\:_{x\to\:\infty\:}(\frac{e^{2x}-e^{x}}{\ln(x+1)})
tangent f(x)=x^3,(2,8)	tangent\:f(x)=x^{3},(2,8)
derivada de 5/(2x+1)	\frac{d}{dx}(\frac{5}{2x+1})
derivative f(x)=3sin(x)+2cos(x)	derivative\:f(x)=3\sin(x)+2\cos(x)
derivada de sinh^3(2x)	\frac{d}{dx}(\sinh^{3}(2x))
integral de (2x^2-25x-33)/((x+1)^2(x-5))	\int\:\frac{2x^{2}-25x-33}{(x+1)^{2}(x-5)}dx
3e^{5x}(dy)/(dx)=(-25x)/(y^2),y(0)=1	3e^{5x}\frac{dy}{dx}=\frac{-25x}{y^{2}},y(0)=1
límite cuando x tiende a 2 de (x-1)(x+1)	\lim\:_{x\to\:2}((x-1)(x+1))
(cos(5x))y^'+5(tan(5x))y=2sec(5x)	(\cos(5x))y^{\prime\:}+5(\tan(5x))y=2\sec(5x)
área 2x^2+12,[-5,0]	area\:2x^{2}+12,[-5,0]
integral de 1 a 2 de (3x^{-2})	\int\:_{1}^{2}(3x^{-2})dx
integral de 2-2x^2	\int\:2-2x^{2}dx
taylor 1+(1+x)/(1-x)	taylor\:1+\frac{1+x}{1-x}
(\partial)/(\partial x)(x^3e^x+cos(y))	\frac{\partial\:}{\partial\:x}(x^{3}e^{x}+\cos(y))
derivada de a-x	\frac{d}{dx}(a-x)
integral de 3xln(6x)	\int\:3x\ln(6x)dx
integral de (ln(x+a))/(sqrt(x+a))	\int\:\frac{\ln(x+a)}{\sqrt{x+a}}dx
límite cuando x tiende a+(-2) de-4x+a	\lim\:_{x\to\:+(-2)}(-4x+a)
integral de x^4sin(x^5)	\int\:x^{4}\sin(x^{5})dx
integral de ((x^2+8x-3))/(x^3+3x^2)	\int\:\frac{(x^{2}+8x-3)}{x^{3}+3x^{2}}dx
límite cuando x tiende a 2 de x^2+3x+9	\lim\:_{x\to\:2}(x^{2}+3x+9)
integral de 5cos(sqrt(6x))	\int\:5\cos(\sqrt{6x})dx
integral de-pi a pi de cos(x)sin(2x)	\int\:_{-π}^{π}\cos(x)\sin(2x)dx
integral de 7/(x^2sqrt(x^2+4))	\int\:\frac{7}{x^{2}\sqrt{x^{2}+4}}dx
límite cuando x tiende a 0+de x/(14x^4-3x)	\lim\:_{x\to\:0+}(\frac{x}{14x^{4}-3x})
integral de-x^7e^{x^8-7}	\int\:-x^{7}e^{x^{8}-7}dx
tangent 3x^4	tangent\:3x^{4}
y^'-4tan(2x)y=sin(2x)	y^{\prime\:}-4\tan(2x)y=\sin(2x)
integral de 0 a 1 de (24)/(x^2-36)	\int\:_{0}^{1}\frac{24}{x^{2}-36}dx
integral de 10e^{3x}	\int\:10e^{3x}dx
derivada de x+8	\frac{d}{dx}(x+8)
límite cuando x tiende a 1-de (2x+5)/(x+1)	\lim\:_{x\to\:1-}(\frac{2x+5}{x+1})
límite cuando x tiende a 0+de ln(1/(2x))	\lim\:_{x\to\:0+}(\ln(\frac{1}{2x}))
2y^{''}-y=4sin(3t)	2y^{\prime\:\prime\:}-y=4\sin(3t)
derivada de (3x^2-1/(xsqrt(1-x^2)))	\frac{d}{dx}(\frac{3x^{2}-1}{x\sqrt{1-x^{2}}})
tangent f(x)=9x-9sqrt(x)	tangent\:f(x)=9x-9\sqrt{x}
tangent f(x)=-3cos(x),\at x=(-pi)/3	tangent\:f(x)=-3\cos(x),\at\:x=\frac{-π}{3}
límite cuando x tiende a 0 de (1-x)^{-1/x}	\lim\:_{x\to\:0}((1-x)^{-\frac{1}{x}})
derivada de ln((x^2-3x+2/(x^2+1)))	\frac{d}{dx}(\ln(\frac{x^{2}-3x+2}{x^{2}+1}))
simplificar (-3x^5-x^4-x^3+4x^2)/(x^2)	simplify\:\frac{-3x^{5}-x^{4}-x^{3}+4x^{2}}{x^{2}}
integral de sqrt(x)(x^3-1/x)	\int\:\sqrt{x}(x^{3}-\frac{1}{x})dx
área x=1,x=6-y^2	area\:x=1,x=6-y^{2}
integral de a a b de 5x^3	\int\:_{a}^{b}5x^{3}dx
(\partial)/(\partial x)(xsqrt(x))	\frac{\partial\:}{\partial\:x}(x\sqrt{x})
derivative 500(1+(2t)/(40+t^2))	derivative\:500(1+\frac{2t}{40+t^{2}})
integral de 0 a pi/2 de e^xcos(x)	\int\:_{0}^{\frac{π}{2}}e^{x}\cos(x)dx
derivative (x^2-1)*e^x	derivative\:(x^{2}-1)\cdot\:e^{x}

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