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Problemas populares

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Problemas populares de Cálculo

integral de (sec^2(x))/(2tan(x))	\int\:\frac{\sec^{2}(x)}{2\tan(x)}dx
límite cuando x tiende a 6 de (x^6)/((x-6))	\lim\:_{x\to\:6}(\frac{x^{6}}{(x-6)})
(\partial)/(\partial x)(x/x)	\frac{\partial\:}{\partial\:x}(\frac{x}{x})
integral de 1/(3sin(x)-4cos(x))	\int\:\frac{1}{3\sin(x)-4\cos(x)}dx
xy^'+3y=1984x^{1982}	xy^{\prime\:}+3y=1984x^{1982}
integral de 1/([(ax)^2-b^2]^{3/2)}	\int\:\frac{1}{[(ax)^{2}-b^{2}]^{\frac{3}{2}}}dx
derivada de 7sqrt(x)(x^3-8sqrt(x)+5)	\frac{d}{dx}(7\sqrt{x}(x^{3}-8\sqrt{x}+5))
límite cuando x tiende a 0 de (e^x-1)/(2x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{2x})
tangent y= 2/(sqrt(x)),(36, 2/6)	tangent\:y=\frac{2}{\sqrt{x}},(36,\frac{2}{6})
derivada de-x+6/x+1	\frac{d}{dx}(-x+\frac{6}{x}+1)
integral de (2x+3)/(x^3+x)	\int\:\frac{2x+3}{x^{3}+x}dx
integral de-2 a 2 de-x^2+4	\int\:_{-2}^{2}-x^{2}+4dx
derivada de \sqrt[3]{x^2+3}	\frac{d}{dx}(\sqrt[3]{x^{2}+3})
(dy)/(dx)=9.8-0.2y	\frac{dy}{dx}=9.8-0.2y
derivative y=arctan(2-x)	derivative\:y=\arctan(2-x)
laplacetransformación (2+t)^4	laplacetransform\:(2+t)^{4}
derivada de (x*cos(x-2pi)/(x-2pi))	\frac{d}{dx}(\frac{x\cdot\:\cos(x)-2π}{x-2π})
integral de 16sqrt(3)cos^4(3x)sin^2(3x)	\int\:16\sqrt{3}\cos^{4}(3x)\sin^{2}(3x)dx
integral de 5^{-4(x-7)}	\int\:5^{-4(x-7)}dx
derivada de 6/(3x)	\frac{d}{dx}(\frac{6}{3x})
derivada de sqrt(6x-x^2)	\frac{d}{dx}(\sqrt{6x-x^{2}})
(\partial)/(\partial x)(x^3y^10sin(xy^2))	\frac{\partial\:}{\partial\:x}(x^{3}y^{1}0\sin(xy^{2}))
(\partial)/(\partial x)(3cos(4x))	\frac{\partial\:}{\partial\:x}(3\cos(4x))
derivative 2e^{3t+2x}	derivative\:2e^{3t+2x}
inversalaplace (25)/(s(s^2+4s+5))	inverselaplace\:\frac{25}{s(s^{2}+4s+5)}
integral de 2sec^4(7x)	\int\:2\sec^{4}(7x)dx
derivative 11x-6sin(x)	derivative\:11x-6\sin(x)
integral de (3e^{sqrt(x)})/(sqrt(x))	\int\:\frac{3e^{\sqrt{x}}}{\sqrt{x}}dx
derivada de 3(5-9x^5)	\frac{d}{dx}(3(5-9x)^{5})
integral de sec(t)(sec(t)tan(t))	\int\:\sec(t)(\sec(t)\tan(t))dt
límite cuando x tiende a infinity de (1+6x)^{3/x}	\lim\:_{x\to\:\infty\:}((1+6x)^{\frac{3}{x}})
integral de x/(sqrt(4x^2+1))	\int\:\frac{x}{\sqrt{4x^{2}+1}}dx
área y=sqrt(x-1),y=0,x=8	area\:y=\sqrt{x-1},y=0,x=8
(dy)/(dx)=xsqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=x\sqrt{y}\cos^{2}(\sqrt{y})
7(dy)/(dx)+63y=9	7\frac{dy}{dx}+63y=9
(\partial)/(\partial x)(sqrt(15-x^2-2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{15-x^{2}-2y^{2}})
((dy)/(dx))=((x^2(y^5-2)))/(y^4)	(\frac{dy}{dx})=\frac{(x^{2}(y^{5}-2))}{y^{4}}
(dy)/(dx)=(5(3-y)^2)/((3-x)^2),y(-2)=-5	\frac{dy}{dx}=\frac{5(3-y)^{2}}{(3-x)^{2}},y(-2)=-5
integral de 0 a pi/4 de (sin(4x))	\int\:_{0}^{\frac{π}{4}}(\sin(4x))dx
área x^3-12x^2+20x,-x^3+12x^2-20x	area\:x^{3}-12x^{2}+20x,-x^{3}+12x^{2}-20x
f(x)=7tan(x)	f(x)=7\tan(x)
integral de 1/(1+csc(x))	\int\:\frac{1}{1+\csc(x)}dx
integral de e^x*cos(2x)	\int\:e^{x}\cdot\:\cos(2x)dx
tangent 7sqrt(x)	tangent\:7\sqrt{x}
integral de x^5e^x	\int\:x^{5}e^{x}dx
derivada de 1x^2	\frac{d}{dx}(1x^{2})
integral de x^3(x^2+1)	\int\:x^{3}(x^{2}+1)dx
derivada de (x-3^2)	\frac{d}{dx}((x-3)^{2})
integral de 1 a 2 de sin(x)	\int\:_{1}^{2}\sin(x)dx
derivada de (x^2-4^2)	\frac{d}{dx}((x^{2}-4)^{2})
(dy)/(dx)=sin(3x)-cos(5x)	\frac{dy}{dx}=\sin(3x)-\cos(5x)
derivative (3t-1)(4t-4)^{-1}	derivative\:(3t-1)(4t-4)^{-1}
integral de x 1/2	\int\:x\frac{1}{2}dx
derivada de 2sqrt(x-5)	\frac{d}{dx}(2\sqrt{x-5})
(\partial)/(\partial x)(1+arctan(x))	\frac{\partial\:}{\partial\:x}(1+\arctan(x))
integral de 1/((x^2-169)^{3/2)}	\int\:\frac{1}{(x^{2}-169)^{\frac{3}{2}}}dx
integral de (cos(x))/(5+4cos(x))	\int\:\frac{\cos(x)}{5+4\cos(x)}dx
derivada de \sqrt[3]{(x^2+1/(x^2-1)})	\frac{d}{dx}(\sqrt[3]{\frac{x^{2}+1}{x^{2}-1}})
integral de 0 a pi/2 de 6sec^4(t/2)	\int\:_{0}^{\frac{π}{2}}6\sec^{4}(\frac{t}{2})dt
derivada de 7-3x^2	\frac{d}{dx}(7-3x^{2})
(\partial)/(\partial y)(x^2y^2z^2)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2}z^{2})
integral de (ln(x))/(x(ln^2(x)+4))	\int\:\frac{\ln(x)}{x(\ln^{2}(x)+4)}dx
y^{''}+36y=12sin(6t)	y^{\prime\:\prime\:}+36y=12\sin(6t)
(dy)/(dx)=(x-3)/(y-3)	\frac{dy}{dx}=\frac{x-3}{y-3}
integral de 1/(4x+5sqrt(x))	\int\:\frac{1}{4x+5\sqrt{x}}dx
(\partial)/(\partial y)(2cos(x))	\frac{\partial\:}{\partial\:y}(2\cos(x))
integral de 2csc^2(x)cot(x)	\int\:2\csc^{2}(x)\cot(x)dx
derivada de 7e^{-x}+e^{4x}	\frac{d}{dx}(7e^{-x}+e^{4x})
integral de (sqrt(9+x^2))/x	\int\:\frac{\sqrt{9+x^{2}}}{x}dx
derivative 1/2 x	derivative\:\frac{1}{2}x
integral de 8sqrt(4-x^2)	\int\:8\sqrt{4-x^{2}}dx
integral de t^3sin(2t^2)	\int\:t^{3}\sin(2t^{2})dt
integral de e^{2x}sin^2(x)	\int\:e^{2x}\sin^{2}(x)dx
(dy)/(dx)=x^3(1-x^4)^4	\frac{dy}{dx}=x^{3}(1-x^{4})^{4}
integral de (3ln(x))/(sqrt(x))	\int\:\frac{3\ln(x)}{\sqrt{x}}dx
integral de 4csc^4(x)cot^6(x)	\int\:4\csc^{4}(x)\cot^{6}(x)dx
derivada de x^9e^{9x}	\frac{d}{dx}(x^{9}e^{9x})
integral de-4 a 4 de 1/(16+x^2)	\int\:_{-4}^{4}\frac{1}{16+x^{2}}dx
derivada de-8cos^3(x)	\frac{d}{dx}(-8\cos^{3}(x))
integral de 1-x^2-3x^5	\int\:1-x^{2}-3x^{5}dx
derivative sqrt(x^2-5x)	derivative\:\sqrt{x^{2}-5x}
inversalaplace (5s)/((s+7)(s^2+4))	inverselaplace\:\frac{5s}{(s+7)(s^{2}+4)}
integral de 0 a 2 de (30t^2)/(4+t^3)	\int\:_{0}^{2}\frac{30t^{2}}{4+t^{3}}dt
integral de (x^3+x)/(x+1)	\int\:\frac{x^{3}+x}{x+1}dx
integral de sin(5)(t)cos(4)(t)	\int\:\sin(5)(t)\cos(4)(t)dt
límite cuando x tiende a infinity de 6x^3	\lim\:_{x\to\:\infty\:}(6x^{3})
derivative 2pir-pir^2	derivative\:2πr-πr^{2}
serie de n=0 a infinity de ((2x)/3)^n	\sum\:_{n=0}^{\infty\:}(\frac{2x}{3})^{n}
integral de (4e^x)/(e^{2x)+2e^x+1}	\int\:\frac{4e^{x}}{e^{2x}+2e^{x}+1}dx
(\partial)/(\partial x)(xe^{5xy})	\frac{\partial\:}{\partial\:x}(xe^{5xy})
integral de x^2(x^3+9)^{1/2}	\int\:x^{2}(x^{3}+9)^{\frac{1}{2}}dx
integral de x/((x^2+1)^3)	\int\:\frac{x}{(x^{2}+1)^{3}}dx
derivative (4.5x-4)/((3x-4)^{1/2)}	derivative\:\frac{4.5x-4}{(3x-4)^{\frac{1}{2}}}
derivative e^x+e^xx	derivative\:e^{x}+e^{x}x
derivada de 9/(x^3+1/x)	\frac{d}{dx}(\frac{9}{x^{3}}+\frac{1}{x})
integral de 0 a 1 de (x^3)^2	\int\:_{0}^{1}(x^{3})^{2}dx
implicit (dy)/(dx),e^xy=5	implicit\:\frac{dy}{dx},e^{x}y=5
derivada de \sqrt[4]{x^3}	\frac{d}{dx}(\sqrt[4]{x^{3}})
derivative y=(4x)/(x+2)	derivative\:y=\frac{4x}{x+2}
(\partial)/(\partial x)(e^{sin(x+ct)})	\frac{\partial\:}{\partial\:x}(e^{\sin(x+ct)})

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