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Problemas populares

Temas

Problemas populares de Cálculo

derivada de (1+cos^2(x)^8)	\frac{d}{dx}((1+\cos^{2}(x))^{8})
integral de ((7x+3)/(sqrt(x)))	\int\:(\frac{7x+3}{\sqrt{x}})dx
(\partial)/(\partial x)(ln(x)-1)	\frac{\partial\:}{\partial\:x}(\ln(x)-1)
integral de sec(x)-cos(x)	\int\:\sec(x)-\cos(x)dx
pendiente (4,-7),(8,-7)	slope\:(4,-7),(8,-7)
f(x)=xln(x)-x	f(x)=x\ln(x)-x
derivative 1/2 ln(x)	derivative\:\frac{1}{2}\ln(x)
derivative f(x)= 1/((x+2)^2)	derivative\:f(x)=\frac{1}{(x+2)^{2}}
derivada de x^2-2x-15	\frac{d}{dx}(x^{2}-2x-15)
inversalaplace (1-e^{-2s})/s	inverselaplace\:\frac{1-e^{-2s}}{s}
límite cuando x tiende a-infinity de 1-x^3	\lim\:_{x\to\:-\infty\:}(1-x^{3})
integral de xln(sqrt(11)x)	\int\:x\ln(\sqrt{11}x)dx
límite cuando x tiende a (3pi)/2 de sin(x)	\lim\:_{x\to\:\frac{3π}{2}}(\sin(x))
integral de \sqrt[x]{2}	\int\:\sqrt[x]{2}dx
derivative f(y)=ln(5x^2-x+1)	derivative\:f(y)=\ln(5x^{2}-x+1)
límite cuando x tiende a infinity de 2x^2-x	\lim\:_{x\to\:\infty\:}(2x^{2}-x)
integral de (7+t+t^2)/(sqrt(t))	\int\:\frac{7+t+t^{2}}{\sqrt{t}}dt
integral de v/(3-0.001v^2)	\int\:\frac{v}{3-0.001v^{2}}dv
límite cuando x tiende a infinity de ((xe^{2x}))/2	\lim\:_{x\to\:\infty\:}(\frac{(xe^{2x})}{2})
(\partial)/(\partial x)(y+arctan(y/x))	\frac{\partial\:}{\partial\:x}(y+\arctan(\frac{y}{x}))
(\partial)/(\partial y)(x^3-y^2)	\frac{\partial\:}{\partial\:y}(x^{3}-y^{2})
taylor ln(6x+1)	taylor\:\ln(6x+1)
límite cuando x tiende a infinity de (e^{5x-3})/(ln(x-2))	\lim\:_{x\to\:\infty\:}(\frac{e^{5x-3}}{\ln(x-2)})
derivative f(x)=cos(a^8+x^8)	derivative\:f(x)=\cos(a^{8}+x^{8})
derivative x^3sqrt(x)	derivative\:x^{3}\sqrt{x}
integral de 0 a infinity de x^1e^{-x}	\int\:_{0}^{\infty\:}x^{1}e^{-x}dx
(\partial)/(\partial y)(3x^2y+y^2)	\frac{\partial\:}{\partial\:y}(3x^{2}y+y^{2})
derivada de ln((5x^2+9^3))	\frac{d}{dx}(\ln((5x^{2}+9)^{3}))
integral de (sqrt(sin(2x))-cos(2x))^2	\int\:(\sqrt{\sin(2x)}-\cos(2x))^{2}dx
4x(dy)/(dx)+y=x^3	4x\frac{dy}{dx}+y=x^{3}
(\partial)/(\partial x)(e^{6xe^y})	\frac{\partial\:}{\partial\:x}(e^{6xe^{y}})
(dy)/(dt)=-2ty^2	\frac{dy}{dt}=-2ty^{2}
integral de 0 a 2 de x^2e^{x^3+0}	\int\:_{0}^{2}x^{2}e^{x^{3}+0}dx
derivada de (sqrt(3x)/4)	\frac{d}{dx}(\frac{\sqrt{3x}}{4})
derivative 7/(3x^2)	derivative\:\frac{7}{3x^{2}}
(\partial)/(\partial x)(sin^3(2x))	\frac{\partial\:}{\partial\:x}(\sin^{3}(2x))
derivative h(t)=(7t^2+t)^{-3}	derivative\:h(t)=(7t^{2}+t)^{-3}
y^'=2y+x^2+5	y^{\prime\:}=2y+x^{2}+5
integral de 0 a pi de 3xsin(x)	\int\:_{0}^{π}3x\sin(x)dx
derivada de 3sec(6x)	\frac{d}{dx}(3\sec(6x))
inversalaplace (10)/(s(s+2)^2)	inverselaplace\:\frac{10}{s(s+2)^{2}}
integral de 0 a pi/2 de 3sin^2(2x)	\int\:_{0}^{\frac{π}{2}}3\sin^{2}(2x)dx
derivative f(x)=3x^2-x	derivative\:f(x)=3x^{2}-x
derivative f(x)=18	derivative\:f(x)=18
y^'=(xy^3)/4 ,y(0)=6	y^{\prime\:}=\frac{xy^{3}}{4},y(0)=6
inversalaplace s/(s^4+4)	inverselaplace\:\frac{s}{s^{4}+4}
integral de (2x^4+4x^3-x)/(x^3)	\int\:\frac{2x^{4}+4x^{3}-x}{x^{3}}dx
integral de 6^xe^x	\int\:6^{x}e^{x}dx
integral de x/((x^2+1)^{17/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{17}{2}}}dx
y^'+y=-4cos(x)	y^{\prime\:}+y=-4\cos(x)
límite cuando x tiende a infinity de 1^x	\lim\:_{x\to\:\infty\:}(1^{x})
derivative (7x^6+4x^3)^4	derivative\:(7x^{6}+4x^{3})^{4}
integral de (sin(x)cos(x))/(5+sin(x))	\int\:\frac{\sin(x)\cos(x)}{5+\sin(x)}dx
y^{''}+2y^'=e^t,y(0)=1,y^'(0)=2	y^{\prime\:\prime\:}+2y^{\prime\:}=e^{t},y(0)=1,y^{\prime\:}(0)=2
x^2(dy)/(dx)=y(1-x)	x^{2}\frac{dy}{dx}=y(1-x)
integral de (e^{1-x}+1/(x^{2022)})x	\int\:(e^{1-x}+\frac{1}{x^{2022}})xdx
derivada de 20cos(x)	\frac{d}{dx}(20\cos(x))
(\partial)/(\partial x)(5x^2+y^2)	\frac{\partial\:}{\partial\:x}(5x^{2}+y^{2})
tangent-6sqrt(x),\at x=4	tangent\:-6\sqrt{x},\at\:x=4
integral de ysin(x)y	\int\:y\sin(x)ydx
integral de (e^x)/(e^{3x)-2e^{2x}+e^x-2}	\int\:\frac{e^{x}}{e^{3x}-2e^{2x}+e^{x}-2}dx
(\partial)/(\partial y)(6xy^2)	\frac{\partial\:}{\partial\:y}(6xy^{2})
integral de 4xln(7x)	\int\:4x\ln(7x)dx
(\partial)/(\partial x)(ln(2x+y+1))	\frac{\partial\:}{\partial\:x}(\ln(2x+y+1))
y^'+3y=8x,y(0)=4	y^{\prime\:}+3y=8x,y(0)=4
tangent f(x)=1-9x^2,\at x=3	tangent\:f(x)=1-9x^{2},\at\:x=3
serie de n=0 a infinity de (-5/4)^n	\sum\:_{n=0}^{\infty\:}(-\frac{5}{4})^{n}
(dv)/(dt)=9.8-0.6	\frac{dv}{dt}=9.8-0.6
derivada de x-1/2	\frac{d}{dx}(x-\frac{1}{2})
derivada de (2-x^3/(2+x^3))	\frac{d}{dx}(\frac{2-x^{3}}{2+x^{3}})
integral de 1 a 4 de 2pix(-3/2 x+6)	\int\:_{1}^{4}2πx(-\frac{3}{2}x+6)dx
derivative f(x)=x^3(2x-1)	derivative\:f(x)=x^{3}(2x-1)
límite cuando x tiende a 0+de (sin(x))/(x^{1/2)}	\lim\:_{x\to\:0+}(\frac{\sin(x)}{x^{\frac{1}{2}}})
y^'=y(xy^6+4)	y^{\prime\:}=y(xy^{6}+4)
integral de-infinity a 0 de x^2e^{-x}	\int\:_{-\infty\:}^{0}x^{2}e^{-x}dx
derivada de (1-xe^x)	\frac{d}{dx}((1-x)e^{x})
inversalaplace 3/((s^2+9)(s^2+1))	inverselaplace\:\frac{3}{(s^{2}+9)(s^{2}+1)}
derivada de sqrt(2-x^2)-x	\frac{d}{dx}(\sqrt{2-x^{2}}-x)
área 2y=3sqrt(x),2y+3x=6,y=4	area\:2y=3\sqrt{x},2y+3x=6,y=4
integral de pi/2 a pi de cos(x)	\int\:_{\frac{π}{2}}^{π}\cos(x)dx
integral de 1/(e^x+4e^{-x)}	\int\:\frac{1}{e^{x}+4e^{-x}}dx
integral de 1 a 3 de 2pix(-x^2+4x-3)	\int\:_{1}^{3}2πx(-x^{2}+4x-3)dx
derivative y=x^{3/2}(x+ce^x)	derivative\:y=x^{\frac{3}{2}}(x+ce^{x})
integral de 10-(14-2(16-2x)^{1/2})	\int\:10-(14-2(16-2x)^{\frac{1}{2}})dx
integral de 8x^9e^{-x^5}	\int\:8x^{9}e^{-x^{5}}dx
integral de x^4-8x^2+16	\int\:x^{4}-8x^{2}+16dx
derivative f(x)=sqrt(3)x+sqrt(2x)	derivative\:f(x)=\sqrt{3}x+\sqrt{2x}
límite cuando x tiende a-3 de x/((x+3)^4)	\lim\:_{x\to\:-3}(\frac{x}{(x+3)^{4}})
tangent x^4+2/x ,\at x=1	tangent\:x^{4}+\frac{2}{x},\at\:x=1
y^{''}-ky=kxe^{-x}	y^{\prime\:\prime\:}-ky=kxe^{-x}
derivative f(x)=(2x-1)/(sqrt(x))	derivative\:f(x)=\frac{2x-1}{\sqrt{x}}
derivada de 4sqrt(2)	\frac{d}{dx}(4\sqrt{2})
y^{''}+9y=e^t,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+9y=e^{t},y(0)=0,y^{\prime\:}(0)=0
integral de e^{(3x+1)}	\int\:e^{(3x+1)}dx
límite cuando x tiende a 27 de (x-27)/(sqrt(x+9-6))	\lim\:_{x\to\:27}(\frac{x-27}{\sqrt{x+9-6}})
(\partial)/(\partial x)(3e^{5xy})	\frac{\partial\:}{\partial\:x}(3e^{5xy})
inversalaplace 2/(s(s+1)(s+2)(s+3))	inverselaplace\:\frac{2}{s(s+1)(s+2)(s+3)}
límite cuando x tiende a infinity de-2x-1	\lim\:_{x\to\:\infty\:}(-2x-1)
área 4x,x^2	area\:4x,x^{2}
integral de (2y+1)	\int\:(2y+1)dy

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