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Problemas populares de Cálculo

límite cuando x tiende a 3 de 1-x	\lim\:_{x\to\:3}(1-x)
límite cuando x tiende a 3 de (1/2+1/x)^x	\lim\:_{x\to\:3}((\frac{1}{2}+\frac{1}{x})^{x})
límite cuando x tiende a 3 de (3+5)/((x-3))	\lim\:_{x\to\:3}(\frac{3+5}{(x-3)})
límite cuando x tiende a 3 de 1/((x+1)^2)	\lim\:_{x\to\:3}(\frac{1}{(x+1)^{2}})
límite cuando x tiende a 3 de 1/(x-1)	\lim\:_{x\to\:3}(\frac{1}{x-1})
integral de 2/((x-2)sqrt(x+2))	\int\:\frac{2}{(x-2)\sqrt{x+2}}dx
integral de 5^{10x}	\int\:5^{10x}dx
integral de sqrt(10+\sqrt{x)}	\int\:\sqrt{10+\sqrt{x}}dx
integral de (e^xsin(x))/(sec(x))	\int\:\frac{e^{x}\sin(x)}{\sec(x)}dx
integral de (5x^2+10x-30)/(x^2+x-6)	\int\:\frac{5x^{2}+10x-30}{x^{2}+x-6}dx
integral de (e^x)/(e^{2x)+2e^x-8}	\int\:\frac{e^{x}}{e^{2x}+2e^{x}-8}dx
integral de ((9-4x^2)^{3/2})/(x^6)	\int\:\frac{(9-4x^{2})^{\frac{3}{2}}}{x^{6}}dx
integral de (x^2-4)sin(x)	\int\:(x^{2}-4)\sin(x)dx
integral de (2x+11)/((x+4)^2)	\int\:\frac{2x+11}{(x+4)^{2}}dx
integral de (2x+7)/(x^2+3x+1)	\int\:\frac{2x+7}{x^{2}+3x+1}dx
integral de (3x-2)/((3x^2-4x+2)^3)	\int\:\frac{3x-2}{(3x^{2}-4x+2)^{3}}dx
integral de (32x^3)/(2x^4+5)	\int\:\frac{32x^{3}}{2x^{4}+5}dx
integral de-3\sqrt[4]{x}	\int\:-3\sqrt[4]{x}dx
integral de (14x+6)/(x^2-x-2)	\int\:\frac{14x+6}{x^{2}-x-2}dx
integral de (2x-1)/((x+1)(x^2+4x+4))	\int\:\frac{2x-1}{(x+1)(x^{2}+4x+4)}dx
integral de (x^3+2x+14)sin(3x)	\int\:(x^{3}+2x+14)\sin(3x)dx
integral de (x^2)/(x(x^2-9))	\int\:\frac{x^{2}}{x(x^{2}-9)}dx
integral de (sin(x)+3cos(x))^2	\int\:(\sin(x)+3\cos(x))^{2}dx
integral de sin^6(x)cos^7(x)	\int\:\sin^{6}(x)\cos^{7}(x)dx
integral de ((2x+2))/((x^2-4x+8))	\int\:\frac{(2x+2)}{(x^{2}-4x+8)}dx
integral de 1/(sqrt((x^2+49)^3))	\int\:\frac{1}{\sqrt{(x^{2}+49)^{3}}}dx
integral de 1/(sqrt(4s^2+8s+19))	\int\:\frac{1}{\sqrt{4s^{2}+8s+19}}ds
integral de 2/((2x^2+1)^{3/2)}	\int\:\frac{2}{(2x^{2}+1)^{\frac{3}{2}}}dx
integral de 1/(cos^4(3x))	\int\:\frac{1}{\cos^{4}(3x)}dx
integral de tan(x)ln(sec(x))	\int\:\tan(x)\ln(\sec(x))dx
integral de sin^7(x)cos^8(x)	\int\:\sin^{7}(x)\cos^{8}(x)dx
integral de sqrt(r^2+4)	\int\:\sqrt{r^{2}+4}dr
integral de (2x)/((7x^2+3)^5)	\int\:\frac{2x}{(7x^{2}+3)^{5}}dx
integral de 3sqrt(4-25s^2)	\int\:3\sqrt{4-25s^{2}}ds
integral de 1/(tan^3(θ))	\int\:\frac{1}{\tan^{3}(θ)}dθ
integral de 8/(cos^4(x))	\int\:\frac{8}{\cos^{4}(x)}dx
integral de 1/(x\sqrt[3]{ln(x^5))}	\int\:\frac{1}{x\sqrt[3]{\ln(x^{5})}}dx
integral de x^5arctan(x^2)	\int\:x^{5}\arctan(x^{2})dx
integral de 2x^3sin(x^4)	\int\:2x^{3}\sin(x^{4})dx
integral de (y^2)/((y^2+16)^{3/2)}	\int\:\frac{y^{2}}{(y^{2}+16)^{\frac{3}{2}}}dy
integral de 1/(csc^2(u)sec^5(u))	\int\:\frac{1}{\csc^{2}(u)\sec^{5}(u)}du
integral de 1/(3xsec(piln(x)))	\int\:\frac{1}{3x\sec(π\ln(x))}dx
integral de e^{2x}cos(6x)	\int\:e^{2x}\cos(6x)dx
integral de arctan(3x-1)	\int\:\arctan(3x-1)dx
integral de (3-x^2)*e^x	\int\:(3-x^{2})\cdot\:e^{x}dx
integral de (2x)/((x+4)(x-5))	\int\:\frac{2x}{(x+4)(x-5)}dx
integral de (x^2-4x+1)/((x^2-x+1)(x+4))	\int\:\frac{x^{2}-4x+1}{(x^{2}-x+1)(x+4)}dx
integral de ((x+4))/((x+2)sqrt(x+5))	\int\:\frac{(x+4)}{(x+2)\sqrt{x+5}}dx
integral de sin^7(x)cos^6(x)	\int\:\sin^{7}(x)\cos^{6}(x)dx
integral de (x+1)/(x^2+x-6)	\int\:\frac{x+1}{x^{2}+x-6}dx
integral de x^5*sqrt(1-x^2)	\int\:x^{5}\cdot\:\sqrt{1-x^{2}}dx
integral de 1/(9x^2+6x+1)	\int\:\frac{1}{9x^{2}+6x+1}dx
integral de (e^{2x}-3e^x)/(e^x+1)	\int\:\frac{e^{2x}-3e^{x}}{e^{x}+1}dx
integral de (x^2-3x+2)cos(x)	\int\:(x^{2}-3x+2)\cos(x)dx
integral de-2^{-5s}	\int\:-2^{-5s}ds
integral de (sqrt(x^2-25))/(5x)	\int\:\frac{\sqrt{x^{2}-25}}{5x}dx
integral de x^3(x^4-5)^4	\int\:x^{3}(x^{4}-5)^{4}dx
integral de 3sqrt(x)-(sin(x))/(cos^2(x))	\int\:3\sqrt{x}-\frac{\sin(x)}{\cos^{2}(x)}dx
integral de (sin(x)+cos^2(x))^3	\int\:(\sin(x)+\cos^{2}(x))^{3}dx
integral de (x^3-3x-8)/(x-4)	\int\:\frac{x^{3}-3x-8}{x-4}dx
integral de 1/(x^4+16x^2)	\int\:\frac{1}{x^{4}+16x^{2}}dx
integral de (x^2)/(2x-x^2)	\int\:\frac{x^{2}}{2x-x^{2}}dx
integral de (x+3)/(6x^3-7x^2-3x)	\int\:\frac{x+3}{6x^{3}-7x^{2}-3x}dx
integral de 1/(ax-x^2)	\int\:\frac{1}{ax-x^{2}}dx
integral de 1/(x^2-ax)	\int\:\frac{1}{x^{2}-ax}dx
integral de (x^2-1)cos(2x)	\int\:(x^{2}-1)\cos(2x)dx
integral de 2x(sqrt(x)+x)	\int\:2x(\sqrt{x}+x)dx
integral de (4x+3)/(x^3+2x^2+x)	\int\:\frac{4x+3}{x^{3}+2x^{2}+x}dx
integral de 1/(sqrt(x)e^{\sqrt{x)}}	\int\:\frac{1}{\sqrt{x}e^{\sqrt{x}}}dx
integral de (2+3x^2)cos(3x)	\int\:(2+3x^{2})\cos(3x)dx
integral de ((3x-2))/(x^2+2x+17)	\int\:\frac{(3x-2)}{x^{2}+2x+17}dx
integral de 1/(x+2+sqrt(x+2))	\int\:\frac{1}{x+2+\sqrt{x+2}}dx
integral de (2x^3-2x^2-x-2)e^{2x}	\int\:(2x^{3}-2x^{2}-x-2)e^{2x}dx
integral de 1/((x^2+a)^{3/2)}	\int\:\frac{1}{(x^{2}+a)^{\frac{3}{2}}}dx
integral de sqrt(4x^2-4x+5)	\int\:\sqrt{4x^{2}-4x+5}dx
integral de (x-4)/((x-1)(x^2+x+1))	\int\:\frac{x-4}{(x-1)(x^{2}+x+1)}dx
integral de (cos(2x))e^{sin(2x)}	\int\:(\cos(2x))e^{\sin(2x)}dx
integral de x/((sqrt(16+x^2))^3)	\int\:\frac{x}{(\sqrt{16+x^{2}})^{3}}dx
integral de x^3(ln(sqrt(x)))	\int\:x^{3}(\ln(\sqrt{x}))dx
integral de (arctan(x))/(1+1/(x^2))	\int\:\frac{\arctan(x)}{1+\frac{1}{x^{2}}}dx
integral de cos(2x+a)cos(2x-a)	\int\:\cos(2x+a)\cos(2x-a)dx
integral de (3x^3+6x^2+17x-5)/(x^2+2x+5)	\int\:\frac{3x^{3}+6x^{2}+17x-5}{x^{2}+2x+5}dx
integral de e^{-3x}sin(1/3 x)	\int\:e^{-3x}\sin(\frac{1}{3}x)dx
integral de 9xsin(2-3x)	\int\:9x\sin(2-3x)dx
integral de (x^3+5x^2+9x+7)/(x^2+5x+4)	\int\:\frac{x^{3}+5x^{2}+9x+7}{x^{2}+5x+4}dx
integral de 1/(xe^x)	\int\:\frac{1}{xe^{x}}dx
integral de (cot^3(x))/(csc(x))	\int\:\frac{\cot^{3}(x)}{\csc(x)}dx
integral de 1/((sqrt(64-x^2))^3)	\int\:\frac{1}{(\sqrt{64-x^{2}})^{3}}dx
integral de sin(2pix)	\int\:\sin(2πx)dx
integral de (x^2-3x)/(2x+1)	\int\:\frac{x^{2}-3x}{2x+1}dx
integral de (4x-5)/((x-2)^3)	\int\:\frac{4x-5}{(x-2)^{3}}dx
integral de (3x-1)/(2x^2-x)	\int\:\frac{3x-1}{2x^{2}-x}dx
integral de 1/(sqrt(x*\sqrt[4]{x))}	\int\:\frac{1}{\sqrt{x\cdot\:\sqrt[4]{x}}}dx
integral de sin^3(3x)tan(3x)	\int\:\sin^{3}(3x)\tan(3x)dx
integral de cos(sqrt(x)+3)	\int\:\cos(\sqrt{x}+3)dx
integral de 3sqrt(4-25x^2)	\int\:3\sqrt{4-25x^{2}}dx
integral de x/(sqrt(2^2-x^2))	\int\:\frac{x}{\sqrt{2^{2}-x^{2}}}dx
integral de x/((sqrt(64+x^2))^3)	\int\:\frac{x}{(\sqrt{64+x^{2}})^{3}}dx
integral de ((x+x^{-2})^2)/(xsqrt(x))	\int\:\frac{(x+x^{-2})^{2}}{x\sqrt{x}}dx
integral de e^{2θ}cos(4θ)	\int\:e^{2θ}\cos(4θ)dθ

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