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Problemas populares Cálculo

integral de (3+2cos(x))^2	\int\:(3+2\cos(x))^{2}dx
límite cuando x tiende a 2 de (6x)/(x-2)	\lim\:_{x\to\:2}(\frac{6x}{x-2})
tangent f(x)=11sin(x),\at x=((3pi))/4	tangent\:f(x)=11\sin(x),\at\:x=\frac{(3π)}{4}
integral de 1 a 4 de ((2x+1))/(2x)	\int\:_{1}^{4}\frac{(2x+1)}{2x}dx
integral de sin(2x)(3-cos(2x))^2	\int\:\sin(2x)(3-\cos(2x))^{2}dx
límite cuando x tiende a 2 de 1/(x^2-4x+4)	\lim\:_{x\to\:2}(\frac{1}{x^{2}-4x+4})
inverselaplace 5/s-5/s e^{-5s}	inverselaplace\:\frac{5}{s}-\frac{5}{s}e^{-5s}
serie de n=0 a infinity de-(-1)^{n+1}	\sum\:_{n=0}^{\infty\:}-(-1)^{n+1}
derivada de 3/(4x^2)	\frac{d}{dx}(\frac{3}{4x^{2}})
tangent f(x)=x^4-13x^2+36	tangent\:f(x)=x^{4}-13x^{2}+36
integral de 0 a 1 de (45)/(x^5)	\int\:_{0}^{1}\frac{45}{x^{5}}dx
derivative (1+4/x)^x	derivative\:(1+\frac{4}{x})^{x}
(\partial)/(\partial x)(2e^{x-2}-y)	\frac{\partial\:}{\partial\:x}(2e^{x-2}-y)
derivative f(x)=(-x^2-1)/((x^2+1)^2)	derivative\:f(x)=\frac{-x^{2}-1}{(x^{2}+1)^{2}}
integral de sin(20x)sin(21x)	\int\:\sin(20x)\sin(21x)dx
integral de x(1/x)	\int\:x(\frac{1}{x})dx
derivada de (4x^2+5/(x^2+7))	\frac{d}{dx}(\frac{4x^{2}+5}{x^{2}+7})
(\partial)/(\partial y)(10-6y+e^{-3x})	\frac{\partial\:}{\partial\:y}(10-6y+e^{-3x})
d/(dt)(3e^t)	\frac{d}{dt}(3e^{t})
derivative F(x)=(x^2)/(4+sqrt(x))	derivative\:F(x)=\frac{x^{2}}{4+\sqrt{x}}
(dy)/(dx)=y+y^3	\frac{dy}{dx}=y+y^{3}
integral de-9 a 4 de \|x+5\|	\int\:_{-9}^{4}\left\|x+5\right\|dx
integral de x/(sqrt(x^2-6x+8))	\int\:\frac{x}{\sqrt{x^{2}-6x+8}}dx
x^'=x^2,x(0)=1	x^{\prime\:}=x^{2},x(0)=1
serie de n=0 a infinity de (1/2)^{2n+1}	\sum\:_{n=0}^{\infty\:}(\frac{1}{2})^{2n+1}
derivative 1/(x+1/x)	derivative\:\frac{1}{x+\frac{1}{x}}
límite cuando x tiende a+(-0) de f(x)	\lim\:_{x\to\:+(-0)}(f(x))
derivada de cos(2x-sin(x))	\frac{d}{dx}(\cos(2x)-\sin(x))
integral de 1 a 16 de (x-7)/(sqrt(x))	\int\:_{1}^{16}\frac{x-7}{\sqrt{x}}dx
integral de 1 a e^5 de (ln^3(x^2))/x	\int\:_{1}^{e^{5}}\frac{\ln^{3}(x^{2})}{x}dx
integral de x^{-1/4}sqrt(1+x^{1/4)}	\int\:x^{-\frac{1}{4}}\sqrt{1+x^{\frac{1}{4}}}dx
(\partial)/(\partial x)(5xcos(xy))	\frac{\partial\:}{\partial\:x}(5x\cos(xy))
(\partial)/(\partial x)(-hk^2+k^4)	\frac{\partial\:}{\partial\:x}(-hk^{2}+k^{4})
xy(dy)/(dx)=y^2+xsqrt(4x^2+y^2)	xy\frac{dy}{dx}=y^{2}+x\sqrt{4x^{2}+y^{2}}
(\partial}{\partial x}(\frac{-x)/y)	\frac{\partial\:}{\partial\:x}(\frac{-x}{y})
serie de n=1 a infinity de (2n+1)!	\sum\:_{n=1}^{\infty\:}(2n+1)!
integral de 8/(x^3)	\int\:\frac{8}{x^{3}}dx
integral de 0 a infinity de e^{-sx}	\int\:_{0}^{\infty\:}e^{-sx}dx
pendiente (2.4)(16.14)	slope\:(2.4)(16.14)
(\partial)/(\partial x)((2x-y)/(2x+y))	\frac{\partial\:}{\partial\:x}(\frac{2x-y}{2x+y})
límite cuando x tiende a 0 de (9sin(x))/(\sqrt[3]{x)}	\lim\:_{x\to\:0}(\frac{9\sin(x)}{\sqrt[3]{x}})
derivada de 4xcos(x)	\frac{d}{dx}(4x\cos(x))
derivada de 2/3 x^{-1/3}	\frac{d}{dx}(\frac{2}{3}x^{-\frac{1}{3}})
integral de (x/y)	\int\:(\frac{x}{y})dy
integral de 4 a infinity de e^{4x}	\int\:_{4}^{\infty\:}e^{4x}dx
integral de sqrt(5-x^2)	\int\:\sqrt{5-x^{2}}dx
integral de x^3*sqrt(1-x^2)	\int\:x^{3}\cdot\:\sqrt{1-x^{2}}dx
área y=x^2(x-11),[-1,12]	area\:y=x^{2}(x-11),[-1,12]
serie de n=1 a infinity de 1/(2n+7)	\sum\:_{n=1}^{\infty\:}\frac{1}{2n+7}
inverselaplace 1/((s^2+4)(s^2+2s+2))	inverselaplace\:\frac{1}{(s^{2}+4)(s^{2}+2s+2)}
laplacetransform 2t*sin(t)	laplacetransform\:2t\cdot\:\sin(t)
ty^'-y=(-t^3)/(y^2)	ty^{\prime\:}-y=\frac{-t^{3}}{y^{2}}
7x((dy)/(dx))=2xe^x-7y+6x^2	7x(\frac{dy}{dx})=2xe^{x}-7y+6x^{2}
límite cuando x tiende a 2 de (4x-3)(x^2+5)	\lim\:_{x\to\:2}((4x-3)(x^{2}+5))
derivative arcsin(2/(x^2))	derivative\:\arcsin(\frac{2}{x^{2}})
integral de 4 a 9 de 2xsqrt(x)	\int\:_{4}^{9}2x\sqrt{x}dx
sin(x)dy=ycos(x)dx	\sin(x)dy=y\cos(x)dx
y^{''}-2y^'+10y=0,y(0)=-2,y^'(0)=5	y^{\prime\:\prime\:}-2y^{\prime\:}+10y=0,y(0)=-2,y^{\prime\:}(0)=5
derivada de (8-3x^2^3)	\frac{d}{dx}((8-3x^{2})^{3})
y^'=xln(x),y(1)=2	y^{\prime\:}=x\ln(x),y(1)=2
integral de x(2+x^3)^2	\int\:x(2+x^{3})^{2}dx
integral de In^2	\int\:In^{2}dx
integral de (1+cos(x))/(cos^2(x))	\int\:\frac{1+\cos(x)}{\cos^{2}(x)}dx
tangent f(x)=6x^2-6x,\at x=0	tangent\:f(x)=6x^{2}-6x,\at\:x=0
(dx)/(dt)=(x^2-1)t,x(0)=0	\frac{dx}{dt}=(x^{2}-1)t,x(0)=0
integral de sin^2(x	\int\:\sin^{2}(d)xdx
derivada de 12x^3-12x^2	\frac{d}{dx}(12x^{3}-12x^{2})
integral de 7sin^5(x)cos^3(x)	\int\:7\sin^{5}(x)\cos^{3}(x)dx
(\partial)/(\partial y)(xe^{x^2-y})	\frac{\partial\:}{\partial\:y}(xe^{x^{2}-y})
integral de (3x+1)^7	\int\:(3x+1)^{7}dx
límite cuando x tiende a-6+de (x+7)/(x+6)	\lim\:_{x\to\:-6+}(\frac{x+7}{x+6})
(\partial)/(\partial y)(cos(xy)x)	\frac{\partial\:}{\partial\:y}(\cos(xy)x)
derivada de (x^2-2/3 ^{3/2})	\frac{d}{dx}((x^{2}-\frac{2}{3})^{\frac{3}{2}})
derivative 7/(ln(x))	derivative\:\frac{7}{\ln(x)}
d/(dy)((x^2-y^2)/(x^2+y^2))	\frac{d}{dy}(\frac{x^{2}-y^{2}}{x^{2}+y^{2}})
integral de (4x^3+3x^2+2x+1)	\int\:(4x^{3}+3x^{2}+2x+1)dx
derivative 1/(sqrt(t))	derivative\:\frac{1}{\sqrt{t}}
integral de-1 a 2 de (x+2-x^2)	\int\:_{-1}^{2}(x+2-x^{2})dx
derivada de 9/(e^x+e^{-x})	\frac{d}{dx}(\frac{9}{e^{x}+e^{-x}})
integral de (x^2)/(sqrt(1-2x^2))	\int\:\frac{x^{2}}{\sqrt{1-2x^{2}}}dx
(\partial)/(\partial x)(ln(3x^2+4y^2+2))	\frac{\partial\:}{\partial\:x}(\ln(3x^{2}+4y^{2}+2))
serie de n=1 a infinity de x^n	\sum\:_{n=1}^{\infty\:}x^{n}
integral de x^6e^{-x}	\int\:x^{6}e^{-x}dx
(\partial)/(\partial y)(cos(yx^2))	\frac{\partial\:}{\partial\:y}(\cos(yx^{2}))
derivative-(12)/(x^6)	derivative\:-\frac{12}{x^{6}}
derivative cos(4x^2)	derivative\:\cos(4x^{2})
integral de ((x+9))/(sqrt(x))	\int\:\frac{(x+9)}{\sqrt{x}}dx
integral de 1/(3-3x)	\int\:\frac{1}{3-3x}dx
xyy^'=1+y^2	xyy^{\prime\:}=1+y^{2}
derivative f(x)=0.882x^{0.842}	derivative\:f(x)=0.882x^{0.842}
derivada de (4x+1sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{4x+1\sqrt{1+x}}{x^{2}-1})
integral de 0 a 5 de f(t)	\int\:_{0}^{5}f(t)dt
derivative-pisin(pix)	derivative\:-π\sin(πx)
derivada de (x^4+1sech(2ln(x)))	\frac{d}{dx}((x^{4}+1)\sech(2\ln(x)))
límite cuando x tiende a 6+de f(x)	\lim\:_{x\to\:6+}(f(x))
y^'=(xy^'+y)	y^{\prime\:}=(xy^{\prime\:}+y)
derivada de (7x(2x-20^3)/(4x+9))	\frac{d}{dx}(\frac{7x(2x-20)^{3}}{4x+9})
límite cuando x tiende a 0+de x^{1/2}*ln(x)	\lim\:_{x\to\:0+}(x^{\frac{1}{2}}\cdot\:\ln(x))
y^'=4x+y	y^{\prime\:}=4x+y
límite cuando x tiende a 5 de x(x-2)	\lim\:_{x\to\:5}(x(x-2))

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