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Problemas populares Cálculo

derivada de (5x-2x^4^3)	\frac{d}{dx}((5x-2x^{4})^{3})
integral de 1/((x+2)sqrt(x^2+4x))	\int\:\frac{1}{(x+2)\sqrt{x^{2}+4x}}dx
límite cuando x tiende a 5+de sqrt(25-x^2)	\lim\:_{x\to\:5+}(\sqrt{25-x^{2}})
integral de 1/(sqrt(36+x^2))	\int\:\frac{1}{\sqrt{36+x^{2}}}dx
integral de 4x+4	\int\:4x+4dx
integral de 0 a 4 de xsqrt(19-x^2)	\int\:_{0}^{4}x\sqrt{19-x^{2}}dx
integral de 0 a 1/2 de 4/3 (1-x^3)	\int\:_{0}^{\frac{1}{2}}\frac{4}{3}(1-x^{3})dx
integral de 0 a 10 de x^2	\int\:_{0}^{10}x^{2}dx
derivada de 3+e^{-3x}-3e^{-3x}x	\frac{d}{dx}(3+e^{-3x}-3e^{-3x}x)
derivada de (-11/(2(x-2)^2)-4/(x-2))	\frac{d}{dx}(\frac{-11}{2(x-2)^{2}}-\frac{4}{x-2})
inverselaplace (2s+3)/(s^2+17)	inverselaplace\:\frac{2s+3}{s^{2}+17}
integral de sqrt(x+1)+2/3 x	\int\:\sqrt{x+1}+\frac{2}{3}xdx
límite cuando x tiende a+0+de 2/(1+ln(x))	\lim\:_{x\to\:+0+}(\frac{2}{1+\ln(x)})
derivative y=4x-x^2	derivative\:y=4x-x^{2}
integral de 20t(5t^2-3)^3	\int\:20t(5t^{2}-3)^{3}dt
serie de n=5 a infinity de 1/(nln(n))	\sum\:_{n=5}^{\infty\:}\frac{1}{n\ln(n)}
derivada de ((2x^3+7(3x^2-5))/(x^2+1))	\frac{d}{dx}(\frac{(2x^{3}+7)(3x^{2}-5)}{x^{2}+1})
límite cuando x tiende a 7 de 3/((x-7)^2)	\lim\:_{x\to\:7}(\frac{3}{(x-7)^{2}})
(\partial)/(\partial x)(x^{-1}y^2+xy^2+4xy)	\frac{\partial\:}{\partial\:x}(x^{-1}y^{2}+xy^{2}+4xy)
integral de (1-x)(6+x^2)	\int\:(1-x)(6+x^{2})dx
taylor sin(x pi/2)	taylor\:\sin(x\frac{π}{2})
integral de e^x*x^3	\int\:e^{x}\cdot\:x^{3}dx
y^{''}-2y^'-3y=3te^{2t}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=3te^{2t}
límite cuando x tiende a-2 de (\sqrt[3]{x-6}-2)/(x^3+8)	\lim\:_{x\to\:-2}(\frac{\sqrt[3]{x-6}-2}{x^{3}+8})
integral de ln(x) 1/x	\int\:\ln(x)\frac{1}{x}dx
derivative (5x^6+4x^3)^4	derivative\:(5x^{6}+4x^{3})^{4}
derivada de x+(16/x)	\frac{d}{dx}(x+\frac{16}{x})
derivative f(x)=24t^{3/2}+4t^{1/2}	derivative\:f(x)=24t^{\frac{3}{2}}+4t^{\frac{1}{2}}
integral de sqrt(2-y^2)	\int\:\sqrt{2-y^{2}}dy
integral de-2 a 4 de (1+2x-3x^2+x^3)	\int\:_{-2}^{4}(1+2x-3x^{2}+x^{3})dx
integral de 1/(y^2+y)	\int\:\frac{1}{y^{2}+y}dy
derivative x/(x^2+49)	derivative\:\frac{x}{x^{2}+49}
derivada de (e^x/(4x^2+9))	\frac{d}{dx}(\frac{e^{x}}{4x^{2}+9})
integral de 3e^6	\int\:3e^{6}dx
(\partial)/(\partial x)(x^3yz^2+3yz)	\frac{\partial\:}{\partial\:x}(x^{3}yz^{2}+3yz)
tangent f(x)=(x^3-7)(3x^2+5)	tangent\:f(x)=(x^{3}-7)(3x^{2}+5)
x^'=ax+b	x^{\prime\:}=ax+b
integral de xe^{(-x)/4}	\int\:xe^{\frac{-x}{4}}dx
derivada de (x^5-4x^2/(x^3))	\frac{d}{dx}(\frac{x^{5}-4x^{2}}{x^{3}})
f(x)=cos((ln(x+1))^2-e^{x^2})	f(x)=\cos((\ln(x+1))^{2}-e^{x^{2}})
integral de (10)/(sqrt(x^2+16))	\int\:\frac{10}{\sqrt{x^{2}+16}}dx
derivada de 1/15 cos^3(x(3cos^2(x)-5))	\frac{d}{dx}(\frac{1}{15}\cos^{3}(x)(3\cos^{2}(x)-5))
integral de 4 a e^5 de 1/x	\int\:_{4}^{e^{5}}\frac{1}{x}dx
(d^3)/(dx^3)(1/(1+x))	\frac{d^{3}}{dx^{3}}(\frac{1}{1+x})
derivative y=(4x)/(e^x)	derivative\:y=\frac{4x}{e^{x}}
integral de-1 a x^3 de t^5	\int\:_{-1}^{x^{3}}t^{5}dt
integral de 3tan^2(x)sec^2(x)	\int\:3\tan^{2}(x)\sec^{2}(x)dx
(\partial)/(\partial x)((xy)/(4x+3y))	\frac{\partial\:}{\partial\:x}(\frac{xy}{4x+3y})
taylor y=sin(x)	taylor\:y=\sin(x)
integral de e^x-x^e+5/x	\int\:e^{x}-x^{e}+\frac{5}{x}dx
integral de cos(x)cos^5(sin(x))	\int\:\cos(x)\cos^{5}(\sin(x))dx
integral de (e^{10+3x})/5	\int\:\frac{e^{10+3x}}{5}dx
límite cuando x tiende a-4 de-4	\lim\:_{x\to\:-4}(-4)
tangent f(x)=3-8x^2,(-3,-69)	tangent\:f(x)=3-8x^{2},(-3,-69)
derivada de arctan(3x^3)	\frac{d}{dx}(\arctan(3x^{3}))
derivative (sqrt(x)-1)/(sqrt(x)+1)	derivative\:\frac{\sqrt{x}-1}{\sqrt{x}+1}
integral de (cos(x))/(sqrt(2sin(x)+1))	\int\:\frac{\cos(x)}{\sqrt{2\sin(x)+1}}dx
integral de sqrt(x*(4-x))	\int\:\sqrt{x\cdot\:(4-x)}dx
laplacetransform 5+4\delta(t)	laplacetransform\:5+4\delta(t)
integral de 4^{sin(x)}cos(x)	\int\:4^{\sin(x)}\cos(x)dx
límite cuando x tiende a-7 de (x+8)/(x+7)	\lim\:_{x\to\:-7}(\frac{x+8}{x+7})
derivada de e^{x-3}	\frac{d}{dx}(e^{x-3})
derivative 2x^5	derivative\:2x^{5}
integral de e^{-5x}sin(x)	\int\:e^{-5x}\sin(x)dx
derivada de (-cx/(x^2+y^2))	\frac{d}{dx}(\frac{-cx}{x^{2}+y^{2}})
serie de n=0 a infinity de 1/(4+e^{-n)}	\sum\:_{n=0}^{\infty\:}\frac{1}{4+e^{-n}}
tangent y=x^3-3x+1,(4,53)	tangent\:y=x^{3}-3x+1,(4,53)
tangent y= x/(x+1)	tangent\:y=\frac{x}{x+1}
y^{'''}+5y^{''}=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}=0
integral de 0 a 1 de (sqrt(x)-x^2)	\int\:_{0}^{1}(\sqrt{x}-x^{2})dx
derivada de-1/(sqrt(2^x))	\frac{d}{dx}(-\frac{1}{\sqrt{2^{x}}})
(\partial)/(\partial x)(10^{sqrt(x)})	\frac{\partial\:}{\partial\:x}(10^{\sqrt{x}})
derivative (x^2-2x+3)/(x+1)	derivative\:\frac{x^{2}-2x+3}{x+1}
integral de 1/7	\int\:\frac{1}{7}dx
integral de sin(2x)ln(sin(2x))	\int\:\sin(2x)\ln(\sin(2x))dx
inverselaplace (10)/(s(s^2+2s+10))	inverselaplace\:\frac{10}{s(s^{2}+2s+10)}
(\partial)/(\partial y)(xy+y^2+y)	\frac{\partial\:}{\partial\:y}(xy+y^{2}+y)
tangent f(x)= 2/(sqrt(x)),\at (1/9)	tangent\:f(x)=\frac{2}{\sqrt{x}},\at\:(\frac{1}{9})
integral de xarctan(4x)	\int\:x\arctan(4x)dx
tangent x^2-4x+1	tangent\:x^{2}-4x+1
integral de sin(x)cos^6(x)	\int\:\sin(x)\cos^{6}(x)dx
límite cuando x tiende a 0 de cos^2(x)	\lim\:_{x\to\:0}(\cos^{2}(x))
longdivision (x^2+1)/(x-2)	longdivision\:\frac{x^{2}+1}{x-2}
derivada de (x^4-2^5)	\frac{d}{dx}((x^{4}-2)^{5})
derivative 8x^{3/2}	derivative\:8x^{\frac{3}{2}}
límite cuando x tiende a-2 de 2x+1	\lim\:_{x\to\:-2}(2x+1)
pendiente (1,-1),(6,-1 1/2)	slope\:(1,-1),(6,-1\frac{1}{2})
(\partial)/(\partial x)(e^{-t}cos(pix))	\frac{\partial\:}{\partial\:x}(e^{-t}\cos(πx))
integral de tan(2x)sec^2(2x)	\int\:\tan(2x)\sec^{2}(2x)dx
integral de (e^t)/(e^{2t)+3e^t+2}	\int\:\frac{e^{t}}{e^{2t}+3e^{t}+2}dt
integral de sqrt(y) a 2 de 3/16 xy	\int\:_{\sqrt{y}}^{2}\frac{3}{16}xydx
tangent sqrt(x^2+21),\at x=2	tangent\:\sqrt{x^{2}+21},\at\:x=2
límite cuando x tiende a 1 de (4x-4)/(x-1)	\lim\:_{x\to\:1}(\frac{4x-4}{x-1})
integral de 16xsin(x)	\int\:16x\sin(x)dx
taylor (1+x)/(1-x)	taylor\:\frac{1+x}{1-x}
integral de 0 a e de ln(x)	\int\:_{0}^{e}\ln(x)dx
integral de (1+e)^x	\int\:(1+e)^{x}dx
(dy)/(dx)=(y^3)/(x^2)	\frac{dy}{dx}=\frac{y^{3}}{x^{2}}
integral de x^3(1-x^4)^5	\int\:x^{3}(1-x^{4})^{5}dx
integral de (7/(sqrt(1-x^2)))	\int\:(\frac{7}{\sqrt{1-x^{2}}})dx

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