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Problemas populares de Cálculo
derivada de (ln(x-10)/(ln(10)))
\frac{d}{dx}(\frac{\ln(x)-10}{\ln(10)})
integral de 2 a e^4 de 1/x
\int\:_{2}^{e^{4}}\frac{1}{x}dx
inversalaplace 4/(s^4)
inverselaplace\:\frac{4}{s^{4}}
integral de x^7e^{3x^4}
\int\:x^{7}e^{3x^{4}}dx
derivative (t-sqrt(t))/(t^{1/9)}
derivative\:\frac{t-\sqrt{t}}{t^{\frac{1}{9}}}
derivada de 2x^4-6x^3-12x-8
\frac{d}{dx}(2x^{4}-6x^{3}-12x-8)
serie de n=5 a infinity de 1/(n(n-1))
\sum\:_{n=5}^{\infty\:}\frac{1}{n(n-1)}
integral de 2 a 4 de (x^4-1)
\int\:_{2}^{4}(x^{4}-1)dx
límite cuando x tiende a 0 de (1-e^x)/(e^x)
\lim\:_{x\to\:0}(\frac{1-e^{x}}{e^{x}})
límite cuando x tiende a 0 de (1+4x)^{6/x}
\lim\:_{x\to\:0}((1+4x)^{\frac{6}{x}})
(\partial)/(\partial y)(3x^2y+5xy^3)
\frac{\partial\:}{\partial\:y}(3x^{2}y+5xy^{3})
derivative ((3-x))/(4x)
derivative\:\frac{(3-x)}{4x}
integral de cos^4(3-x)sin(3-x)
\int\:\cos^{4}(3-x)\sin(3-x)dx
área y=x,y=1-x^2,-1,2
area\:y=x,y=1-x^{2},-1,2
tangent-(39)/((8x+5)^2),\at x=2
tangent\:-\frac{39}{(8x+5)^{2}},\at\:x=2
integral de 0 a 4 de (12)/(x^2+5x+6)
\int\:_{0}^{4}\frac{12}{x^{2}+5x+6}dx
integral de 4/(x^2+8x)
\int\:\frac{4}{x^{2}+8x}dx
derivada de xe^{xy}cos(2x-3)
\frac{d}{dx}(xe^{xy}\cos(2x)-3)
integral de-1 a 1 de (3x)/((x+6)^2)
\int\:_{-1}^{1}\frac{3x}{(x+6)^{2}}dx
integral de 4xy
\int\:4xydx
derivative e^{sqrt(x)}
derivative\:e^{\sqrt{x}}
integral de 3xsqrt(x)
\int\:3x\sqrt{x}dx
derivada de x-arctan(x)
\frac{d}{dx}(x-\arctan(x))
(\partial)/(\partial x)(ln(x^2+y))
\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y))
integral de (2+u)/u
\int\:\frac{2+u}{u}du
derivative y=x^3(3-x^2)
derivative\:y=x^{3}(3-x^{2})
(\partial)/(\partial x)(sin(pi(4x-2y)))
\frac{\partial\:}{\partial\:x}(\sin(π(4x-2y)))
pendiente y=3x^2,\at x=1
slope\:y=3x^{2},\at\:x=1
integral de (sec^5(x))
\int\:(\sec^{5}(x))dx
integral de sec(x/6)
\int\:\sec(\frac{x}{6})dx
pendienteintercept (-4,5),(5,-22)
slopeintercept\:(-4,5),(5,-22)
límite cuando x tiende a 6 de pi
\lim\:_{x\to\:6}(π)
integral de (16x^3-32x^2+5)/(x^2-2x)
\int\:\frac{16x^{3}-32x^{2}+5}{x^{2}-2x}dx
derivative e^{-4x}
derivative\:e^{-4x}
integral de 8^{3x+5}
\int\:8^{3x+5}dx
inversalaplace 2/((s^2+4)^2)
inverselaplace\:\frac{2}{(s^{2}+4)^{2}}
integral de 0 a 0.3 de 300x
\int\:_{0}^{0.3}300xdx
paridad f(x)=xcsc(x)
parity\:f(x)=x\csc(x)
integral de (e^x+1)
\int\:(e^{x}+1)dx
integral de \sqrt[7]{tan(3x)}sec^2(3x)
\int\:\sqrt[7]{\tan(3x)}\sec^{2}(3x)dx
derivada de x^4+12x^2+42
\frac{d}{dx}(x^{4}+12x^{2}+42)
derivada de (6x/(2+x^2))
\frac{d}{dx}(\frac{6x}{2+x^{2}})
xy^'=2y+x^3
xy^{\prime\:}=2y+x^{3}
integral de (sin(4x))/(cos^3(4x))
\int\:\frac{\sin(4x)}{\cos^{3}(4x)}dx
(\partial)/(\partial x)(k)
\frac{\partial\:}{\partial\:x}(k)
derivada de (3x-3x^2tan(x))
\frac{d}{dx}((3x-3x^{2})\tan(x))
integral de 1/(ax^2+bx+c)
\int\:\frac{1}{ax^{2}+bx+c}dx
y^'-((2x)/(1+x^2))y=0,y(0)=4
y^{\prime\:}-(\frac{2x}{1+x^{2}})y=0,y(0)=4
derivada de (x^3/3-x^2-3x)
\frac{d}{dx}(\frac{x^{3}}{3}-x^{2}-3x)
derivative (t^2-t)(t^2+t)
derivative\:(t^{2}-t)(t^{2}+t)
(\partial)/(\partial y)(e^{3xy})
\frac{\partial\:}{\partial\:y}(e^{3xy})
tangent f(x)=sqrt(x-4),(20,40)
tangent\:f(x)=\sqrt{x-4},(20,40)
(dy)/(dx)+5y=0
\frac{dy}{dx}+5y=0
(\partial)/(\partial x)(5+e^{-xy}cos(y))
\frac{\partial\:}{\partial\:x}(5+e^{-xy}\cos(y))
límite cuando x tiende a 7 de (x^2-5x-14)/(x-7)
\lim\:_{x\to\:7}(\frac{x^{2}-5x-14}{x-7})
integral de 1 a e de (x^2-1)/x
\int\:_{1}^{e}\frac{x^{2}-1}{x}dx
y^{''}-6y^'+6y=0
y^{\prime\:\prime\:}-6y^{\prime\:}+6y=0
(\partial)/(\partial x)(sin(x^2y))
\frac{\partial\:}{\partial\:x}(\sin(x^{2}y))
derivada de sin((pix^5))
\frac{d}{dx}(\sin((πx)^{5}))
pendiente (7.3)(6.7)
slope\:(7.3)(6.7)
tangent f(x)=(10x)/(x+4),\at x=4,y=5
tangent\:f(x)=\frac{10x}{x+4},\at\:x=4,y=5
derivada de 4x^4y^3+cos(x^2)
\frac{d}{dx}(4x^{4}y^{3}+\cos(x^{2}))
integral de x^{2n}
\int\:x^{2n}dx
derivada de (x^4/8)
\frac{d}{dx}(\frac{x^{4}}{8})
(\partial)/(\partial x)(e^{4(e^x-1)})
\frac{\partial\:}{\partial\:x}(e^{4(e^{x}-1)})
límite cuando x tiende a 0 de (1-6x)^{6/x}
\lim\:_{x\to\:0}((1-6x)^{\frac{6}{x}})
(\partial)/(\partial y)(3x^4y^2+3)
\frac{\partial\:}{\partial\:y}(3x^{4}y^{2}+3)
y^3y^'+x^3=0
y^{3}y^{\prime\:}+x^{3}=0
tangent x^2+2x
tangent\:x^{2}+2x
integral de (6x^2-8x+2)
\int\:(6x^{2}-8x+2)dx
y^{'''}+y^'=cot(x)
y^{\prime\:\prime\:\prime\:}+y^{\prime\:}=\cot(x)
y^{''}+5(dy)/(dx)+6y=2e^x
y^{\prime\:\prime\:}+5\frac{dy}{dx}+6y=2e^{x}
serie de n=1 a infinity de (9n)/(2n+1)
\sum\:_{n=1}^{\infty\:}\frac{9n}{2n+1}
domínio f(x)= 1/(arctan(x^2))
domain\:f(x)=\frac{1}{\arctan(x^{2})}
derivative 5arccot(t)+5arccot(1/t)
derivative\:5\arccot(t)+5\arccot(\frac{1}{t})
d/(dθ)(1+sin(θ))
\frac{d}{dθ}(1+\sin(θ))
integral de (e^y(1-e^{-2y}))/((e^y+e^{-y))}
\int\:\frac{e^{y}(1-e^{-2y})}{(e^{y}+e^{-y})}dy
integral de x/(2x^2+2x+7)
\int\:\frac{x}{2x^{2}+2x+7}dx
y^{''}+a^2y=sin(b*t)
y^{\prime\:\prime\:}+a^{2}y=\sin(b\cdot\:t)
integral de (6x^2-4x+2)(x^3-x^2+x+1)^7
\int\:(6x^{2}-4x+2)(x^{3}-x^{2}+x+1)^{7}dx
(\partial)/(\partial x)(sqrt(a^2-x^2-y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{a^{2}-x^{2}-y^{2}})
integral de (e^{x^2})/x
\int\:\frac{e^{x^{2}}}{x}dx
límite cuando x tiende a 3 de 5/(2x-6)
\lim\:_{x\to\:3}(\frac{5}{2x-6})
integral de (5-3x)e^{2x+3}
\int\:(5-3x)e^{2x+3}dx
integral de 1/(sqrt(x)(\sqrt{x)+1)^3}
\int\:\frac{1}{\sqrt{x}(\sqrt{x}+1)^{3}}dx
(\partial)/(\partial x)(sqrt(4x+4y))
\frac{\partial\:}{\partial\:x}(\sqrt{4x+4y})
(\partial ^3)/(\partial {u)(w)\partial w^2}(e^{{u}(w)-w})
\frac{\partial\:^{3}}{\partial\:{u}(w)\partial\:w^{2}}(e^{{u}(w)-w})
integral de 1/((x-1)(x^2+9))
\int\:\frac{1}{(x-1)(x^{2}+9)}dx
integral de 1/(9-4x)
\int\:\frac{1}{9-4x}dx
derivative y=(-12)/(\sqrt[4]{x)}
derivative\:y=\frac{-12}{\sqrt[4]{x}}
2x+y+(x+2y)y^'=0
2x+y+(x+2y)y^{\prime\:}=0
integral de-2x^2+6x
\int\:-2x^{2}+6xdx
derivative (cos^2(s)-11s^2)^2
derivative\:(\cos^{2}(s)-11s^{2})^{2}
derivada de-3cot(xcsc(x))
\frac{d}{dx}(-3\cot(x)\csc(x))
derivada de (1+x^4tan(x)^{-5})
\frac{d}{dx}((1+x^{4}\tan(x))^{-5})
límite cuando x tiende a 4+de (3+x)/(4-x)
\lim\:_{x\to\:4+}(\frac{3+x}{4-x})
derivative f(x)=(3x^5)/5-(10x^4)/3
derivative\:f(x)=\frac{3x^{5}}{5}-\frac{10x^{4}}{3}
(dy}{dx}=\frac{3x^2)/y
\frac{dy}{dx}=\frac{3x^{2}}{y}
laplacetransformación 2sin^2(t)
laplacetransform\:2\sin^{2}(t)
derivada de (x^2/((1+2tan(x))))
\frac{d}{dx}(\frac{x^{2}}{(1+2\tan(x))})
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