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Problemas populares Cálculo

(\partial)/(\partial x)(x-x^2y)	\frac{\partial\:}{\partial\:x}(x-x^{2}y)
integral de 0 a pi de cos^4(x)sin(x)	\int\:_{0}^{π}\cos^{4}(x)\sin(x)dx
(\partial)/(\partial y)(x+2y-6)	\frac{\partial\:}{\partial\:y}(x+2y-6)
integral de-8 a 8 de 64-x^2	\int\:_{-8}^{8}64-x^{2}dx
integral de 9xe^{x^2}	\int\:9xe^{x^{2}}dx
derivada de x^4y	\frac{d}{dx}(x^{4}y)
derivada de 1/(x^2y)	\frac{d}{dx}(\frac{1}{x^{2}y})
integral de 0 a 1 de x^2(x+1)^7	\int\:_{0}^{1}x^{2}(x+1)^{7}dx
(\partial)/(\partial y)(2xy^3-4)	\frac{\partial\:}{\partial\:y}(2xy^{3}-4)
y^{''}-18y^'+81y=0	y^{\prime\:\prime\:}-18y^{\prime\:}+81y=0
integral de 16tan^3(x)	\int\:16\tan^{3}(x)dx
derivative g(w)=10sqrt(w)	derivative\:g(w)=10\sqrt{w}
(\partial)/(\partial x)(x^4y)	\frac{\partial\:}{\partial\:x}(x^{4}y)
integral de t*sin(2t)	\int\:t\cdot\:\sin(2t)dt
derivative (8(5x)^4+5)^3	derivative\:(8(5x)^{4}+5)^{3}
derivada de 1/(x^4-3/(x^2)+x^3)	\frac{d}{dx}(\frac{1}{x^{4}}-\frac{3}{x^{2}}+x^{3})
integral de 1/(2x^2+3)	\int\:\frac{1}{2x^{2}+3}dx
límite cuando v tiende a 3 de (sqrt(v+1)-2)/(v-3)	\lim\:_{v\to\:3}(\frac{\sqrt{v+1}-2}{v-3})
límite cuando x tiende a 3 de (x-2)/(x^2-9)	\lim\:_{x\to\:3}(\frac{x-2}{x^{2}-9})
integral de 1/(x^2+4x+5)	\int\:\frac{1}{x^{2}+4x+5}dx
tangent f(x)= 9/(x-3),\at x=2	tangent\:f(x)=\frac{9}{x-3},\at\:x=2
derivative y=e^5	derivative\:y=e^{5}
derivada de x^{3/4}-3x^{1/4}	\frac{d}{dx}(x^{\frac{3}{4}}-3x^{\frac{1}{4}})
derivative (3.3x+5)^{0.37}	derivative\:(3.3x+5)^{0.37}
derivada de 1/(2x^{5/2})	\frac{d}{dx}(\frac{1}{2x^{\frac{5}{2}}})
y^'=(y+9x)^2	y^{\prime\:}=(y+9x)^{2}
inverselaplace ((e^{-2s}))/s	inverselaplace\:\frac{(e^{-2s})}{s}
integral de-2x^5-5x^3+3x^2+1-4e^x	\int\:-2x^{5}-5x^{3}+3x^{2}+1-4e^{x}dx
integral de 2 a 3 de 2/(t^2-1)	\int\:_{2}^{3}\frac{2}{t^{2}-1}dt
integral de 5/(xsqrt(x^2+9))	\int\:\frac{5}{x\sqrt{x^{2}+9}}dx
derivada de xln(x^{18})	\frac{d}{dx}(x\ln(x^{18}))
integral de (x^2+3x-1)/(x+2)	\int\:\frac{x^{2}+3x-1}{x+2}dx
integral de 0 a 3 de (8-2x)	\int\:_{0}^{3}(8-2x)dx
f(x)= 6/(x^4)	f(x)=\frac{6}{x^{4}}
integral de e^{-3/2 x}	\int\:e^{-\frac{3}{2}x}dx
área 7cos(pix),8x^2-2,[-0.5,0.5]	area\:7\cos(πx),8x^{2}-2,[-0.5,0.5]
límite cuando x tiende a-1 de (3x^2-9x-12)/(3x+3)	\lim\:_{x\to\:-1}(\frac{3x^{2}-9x-12}{3x+3})
implicit (dy)/(dx),7xy+1=0	implicit\:\frac{dy}{dx},7xy+1=0
derivada de 9^xln(x)	\frac{d}{dx}(9^{x}\ln(x))
límite cuando x tiende a infinity de x+2/x	\lim\:_{x\to\:\infty\:}(x+\frac{2}{x})
límite cuando x tiende a 4 de 5x	\lim\:_{x\to\:4}(5x)
derivative (sqrt(s)-1)/(sqrt(s)+3)	derivative\:\frac{\sqrt{s}-1}{\sqrt{s}+3}
derivada de (y^3/(x^2))	\frac{d}{dx}(\frac{y^{3}}{x^{2}})
(\partial)/(\partial y)(x^5y)	\frac{\partial\:}{\partial\:y}(x^{5}y)
integral de cos(2t)e^{-st}	\int\:\cos(2t)e^{-st}dt
derivada de ({f}(x)/(x^4))	\frac{d}{dx}(\frac{{f}(x)}{x^{4}})
(\partial)/(\partial x)(2x-3cos(x)+10y)	\frac{\partial\:}{\partial\:x}(2x-3\cos(x)+10y)
derivada de 8/x-2/(x^3+1/(x^4))	\frac{d}{dx}(\frac{8}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}})
x^2y^{''}+4xy^'+2y=0	x^{2}y^{\prime\:\prime\:}+4xy^{\prime\:}+2y=0
límite cuando x tiende a 8 de x+8	\lim\:_{x\to\:8}(x+8)
límite cuando x tiende a infinity de ln(2)	\lim\:_{x\to\:\infty\:}(\ln(2))
serie de n=0 a infinity de (2/e)^n	\sum\:_{n=0}^{\infty\:}(\frac{2}{e})^{n}
desarrollar (x^2+4)^5	expand\:(x^{2}+4)^{5}
integral de (e^{2x})	\int\:(e^{2x})dx
derivative x^x	derivative\:x^{x}
derivada de 1/(sqrt(10x+11))	\frac{d}{dx}(\frac{1}{\sqrt{10x+11}})
integral de-infinity a 0 de 1/(x^2+1)	\int\:_{-\infty\:}^{0}\frac{1}{x^{2}+1}dx
laplacetransform t*1	laplacetransform\:t\cdot\:1
integral de 0 a 4 de pi(x^2-4x)^2	\int\:_{0}^{4}π(x^{2}-4x)^{2}dx
integral de 5^{cos(x)}sin(x)	\int\:5^{\cos(x)}\sin(x)dx
d/(dy)(2x^3+6xy^2-3x^2+3y^2)	\frac{d}{dy}(2x^{3}+6xy^{2}-3x^{2}+3y^{2})
(dy)/(dx)=(1+2y)/(1+x)	\frac{dy}{dx}=\frac{1+2y}{1+x}
integral de (3x-4/3 x^{3/2})	\int\:(3x-\frac{4}{3}x^{\frac{3}{2}})dx
límite cuando x tiende a 1-de arcsin(1/x)	\lim\:_{x\to\:1-}(\arcsin(\frac{1}{x}))
área y=\|x\|,y=x^2	area\:y=\left\|x\right\|,y=x^{2}
integral de (sin(θ)-1)/(cos^2(θ))	\int\:\frac{\sin(θ)-1}{\cos^{2}(θ)}dθ
(\partial)/(\partial y)(e^{-xy})	\frac{\partial\:}{\partial\:y}(e^{-xy})
(\partial)/(\partial x)(ye^{x/y}-z)	\frac{\partial\:}{\partial\:x}(ye^{\frac{x}{y}}-z)
derivada de (x^2/(5+8x))	\frac{d}{dx}(\frac{x^{2}}{5+8x})
integral de 1/((x-5)(x-3))	\int\:\frac{1}{(x-5)(x-3)}dx
laplacetransform 3e^{-3t}	laplacetransform\:3e^{-3t}
derivada de sin^2(x+1)	\frac{d}{dx}(\sin^{2}(x)+1)
límite cuando x tiende a 0-de (8x^4-3x)/x	\lim\:_{x\to\:0-}(\frac{8x^{4}-3x}{x})
límite cuando x tiende a 0 de 2x-2	\lim\:_{x\to\:0}(2x-2)
integral de 0 a 1 de x^3sqrt(1-x)	\int\:_{0}^{1}x^{3}\sqrt{1-x}dx
derivada de (2x/((3y^2)))	\frac{d}{dx}(\frac{2x}{(3y^{2})})
integral de 0 a L de (3ax^2+2bx+c)^2	\int\:_{0}^{L}(3ax^{2}+2bx+c)^{2}dx
integral de e^{1-x}	\int\:e^{1-x}dx
integral de 8x+5	\int\:8x+5dx
integral de (1/(5-t)+60e^{-0.3t}+t)	\int\:(\frac{1}{5-t}+60e^{-0.3t}+t)dt
(-e^{-x})^'	(-e^{-x})^{\prime\:}
inverselaplace s/(s^2+4)	inverselaplace\:\frac{s}{s^{2}+4}
integral de 5/(sqrt(1+x^2))	\int\:\frac{5}{\sqrt{1+x^{2}}}dx
y^{''}+6y^'+5y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+5y=0
límite cuando x tiende a 0 de x^{sqrt(x)}	\lim\:_{x\to\:0}(x^{\sqrt{x}})
y^{''}-2y^'+3y=6sin(3x)-6cos(3x)	y^{\prime\:\prime\:}-2y^{\prime\:}+3y=6\sin(3x)-6\cos(3x)
(10+x^2)y^'-2xy=0	(10+x^{2})y^{\prime\:}-2xy=0
integral de x^2-3x+7	\int\:x^{2}-3x+7dx
derivative 2/3 x^6	derivative\:\frac{2}{3}x^{6}
integral de 7 a 8 de 1/((x-7)^{3/2)}	\int\:_{7}^{8}\frac{1}{(x-7)^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de x^{-8}	\lim\:_{x\to\:0}(x^{-8})
integral de sin(5x-1)	\int\:\sin(5x-1)dx
integral de (x+7)/((x+2)(x-3))	\int\:\frac{x+7}{(x+2)(x-3)}dx
integral de q	\int\:qdq
derivative h(t)=((t^3)/(t^8+9))^2	derivative\:h(t)=(\frac{t^{3}}{t^{8}+9})^{2}
derivada de sin(x+cos(x))	\frac{d}{dx}(\sin(x)+\cos(x))
integral de ((cos^5(x)))/(sqrt(sin(x)))	\int\:\frac{(\cos^{5}(x))}{\sqrt{\sin(x)}}dx
integral de 6x^2-5x-1	\int\:6x^{2}-5x-1dx
derivative f(x)=(3x-4)^2	derivative\:f(x)=(3x-4)^{2}
y^{''}+2y^'=2x+3-e^{-2x}	y^{\prime\:\prime\:}+2y^{\prime\:}=2x+3-e^{-2x}

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