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Popular Calculus Problems

(\partial)/(\partial x)((xy)/((x^2-y^2)^2))	\frac{\partial\:}{\partial\:x}(\frac{xy}{(x^{2}-y^{2})^{2}})
tangent of y=x^2+1,(-2,5)	tangent\:y=x^{2}+1,(-2,5)
taylor sqrt(x),\at 25	taylor\:\sqrt{x},\at\:25
derivative of x^4-2x^2+4	derivative\:x^{4}-2x^{2}+4
(\partial)/(\partial x)((5x-9y)/(5x+9y))	\frac{\partial\:}{\partial\:x}(\frac{5x-9y}{5x+9y})
integral of x^2ln(3x)	\int\:x^{2}\ln(3x)dx
integral from 0 to v of v	\int\:_{0}^{v}vdv
integral of-32t+18	\int\:-32t+18dt
integral from 0 to 3 of 1/(xsqrt(x))	\int\:_{0}^{3}\frac{1}{x\sqrt{x}}dx
limit as x approaches 0 of-sin(x)+x	\lim\:_{x\to\:0}(-\sin(x)+x)
derivative of f(x)=x(8-x)^3	derivative\:f(x)=x(8-x)^{3}
(x-9)y^'+y=x^2-1	(x-9)y^{\prime\:}+y=x^{2}-1
derivative of ((8x)/(8x+6))^{7x}	derivative\:(\frac{8x}{8x+6})^{7x}
derivative of y= 4/3 pir^6	derivative\:y=\frac{4}{3}πr^{6}
integral from 0 to 1 of pi(4x)^2	\int\:_{0}^{1}π(4x)^{2}dx
integral from 0 to 1 of e^{-x}+3x^2	\int\:_{0}^{1}e^{-x}+3x^{2}dx
limit as x approaches infinity+of 1/(x!)	\lim\:_{x\to\:\infty\:+}(\frac{1}{x!})
integral of cos^7(x)sin(x)	\int\:\cos^{7}(x)\sin(x)dx
derivative of 3x^{-3}(x^4-3x^3+10x-9)	derivative\:3x^{-3}(x^{4}-3x^{3}+10x-9)
integral of 1/(x^2+z^2)	\int\:\frac{1}{x^{2}+z^{2}}dx
integral of (9e^x)/(e^x-1)	\int\:\frac{9e^{x}}{e^{x}-1}dx
(\partial)/(\partial x)(x^4+5x^2y)	\frac{\partial\:}{\partial\:x}(x^{4}+5x^{2}y)
y^{''}-7y^'+10y=0	y^{\prime\:\prime\:}-7y^{\prime\:}+10y=0
integral of 4/(x(ln(x))^2)	\int\:\frac{4}{x(\ln(x))^{2}}dx
tangent of x^4-3x^2+9	tangent\:x^{4}-3x^{2}+9
integral of x^2e^{-x/2}	\int\:x^{2}e^{-\frac{x}{2}}dx
integral of (x+6)(x-5)	\int\:(x+6)(x-5)dx
derivative of sin(tan(cos(2pix^4)))	\frac{d}{dx}(\sin(\tan(\cos(2πx^{4}))))
limit as x approaches-infinity of xln(x)	\lim\:_{x\to\:-\infty\:}(x\ln(x))
derivative of x^2+x^2ln(x)	\frac{d}{dx}(x^{2}+x^{2}\ln(x))
(dy)/(dt)=t^4y	\frac{dy}{dt}=t^{4}y
taylor x^4,1	taylor\:x^{4},1
tangent of-(2x)/(x^2+1)	tangent\:-\frac{2x}{x^{2}+1}
integral from 0 to ln(2) of se^s	\int\:_{0}^{\ln(2)}se^{s}ds
(\partial)/(\partial x)(2/(2x+y))	\frac{\partial\:}{\partial\:x}(\frac{2}{2x+y})
limit as x approaches-2 of-x^2+4x-6	\lim\:_{x\to\:-2}(-x^{2}+4x-6)
tangent of f(x)=x^2+1,(-2,5)	tangent\:f(x)=x^{2}+1,(-2,5)
integral of x/((1+x^3))	\int\:\frac{x}{(1+x^{3})}dx
limit as x approaches 0+of sin(x)	\lim\:_{x\to\:0+}(\sin(x))
integral of (ax^3-bx^2-cx+	\int\:(ax^{3}-bx^{2}-cx+d)dx
integral from-2 to 4 of \|x\|	\int\:_{-2}^{4}\left\|x\right\|dx
(dy)/(dx)=xe^y	\frac{dy}{dx}=xe^{y}
derivative of f(x)=(2+x+8x^3)/(x^4)	derivative\:f(x)=\frac{2+x+8x^{3}}{x^{4}}
integral of y/(1+y^2)	\int\:\frac{y}{1+y^{2}}dy
(\partial)/(\partial x)(20sin(4x)cos(2y))	\frac{\partial\:}{\partial\:x}(20\sin(4x)\cos(2y))
limit as h approaches 0 of ((e^h-1))/h	\lim\:_{h\to\:0}(\frac{(e^{h}-1)}{h})
integral of x^4sin(9x)	\int\:x^{4}\sin(9x)dx
derivative of [((x-1))/((x+3))]^{1/3}	derivative\:[\frac{(x-1)}{(x+3)}]^{\frac{1}{3}}
integral of 1/(sqrt(-x^2+6x+7))	\int\:\frac{1}{\sqrt{-x^{2}+6x+7}}dx
integral of 5x^{-3}+4x^{-2}-3x^{-1}+4	\int\:5x^{-3}+4x^{-2}-3x^{-1}+4dx
integral from 0 to 1 of sqrt(1+(9x)/4)	\int\:_{0}^{1}\sqrt{1+\frac{9x}{4}}dx
cos(t)y^'+sin(t)y=2cos^3(t)sin(t)-1	\cos(t)y^{\prime\:}+\sin(t)y=2\cos^{3}(t)\sin(t)-1
derivative of c/x	derivative\:\frac{c}{x}
derivative of 2^{(x^2-3x+8)}	derivative\:2^{(x^{2}-3x+8)}
tangent of f(x)=sqrt(5+8x),\at x=0	tangent\:f(x)=\sqrt{5+8x},\at\:x=0
limit as x approaches infinity of x*1/x	\lim\:_{x\to\:\infty\:}(x\cdot\:\frac{1}{x})
inverse oflaplace 1/(120x)	inverselaplace\:\frac{1}{120x}
integral from-2 to 2 of f(x)	\int\:_{-2}^{2}f(x)dx
integral of x^2(3+4x^3)^9	\int\:x^{2}(3+4x^{3})^{9}dx
limit as x approaches o of f(x, 1/x)	\lim\:_{x\to\:o}(f(x,\frac{1}{x}))
limit as x approaches 5 of x-2	\lim\:_{x\to\:5}(x-2)
limit as x approaches 0 of (x^2)/(e^x)	\lim\:_{x\to\:0}(\frac{x^{2}}{e^{x}})
(dy)/(dx)=(3x^2-1)/(2y)	\frac{dy}{dx}=\frac{3x^{2}-1}{2y}
derivative of 1/2 csc(x/4)	\frac{d}{dx}(\frac{1}{2}\csc(\frac{x}{4}))
(dy)/(dx)=((x^2+3y^2))/(2xy)	\frac{dy}{dx}=\frac{(x^{2}+3y^{2})}{2xy}
derivative of ln(sqrt(x^2+1))+e^{-x^2}	derivative\:\ln(\sqrt{x^{2}+1})+e^{-x^{2}}
derivative of (100)/x	derivative\:\frac{100}{x}
integral of (x^2)/((x+1)^3)	\int\:\frac{x^{2}}{(x+1)^{3}}dx
laplacetransform 5y	laplacetransform\:5y
derivative of (dy/(dx))+y=7sin(x)	\frac{d}{dx}(\frac{dy}{dx})+y=7\sin(x)
integral of (0.8(3+ln(u))^3)/u	\int\:\frac{0.8(3+\ln(u))^{3}}{u}du
tangent of y=2x^3-8x,(2,0)	tangent\:y=2x^{3}-8x,(2,0)
integral of ((3x^3+2x)/x)	\int\:(\frac{3x^{3}+2x}{x})dx
area y=x+2,y=x^2	area\:y=x+2,y=x^{2}
derivative of (sqrt(25-x^2-y^2)/y)	\frac{d}{dx}(\frac{\sqrt{25-x^{2}-y^{2}}}{y})
limit as x approaches pi/2 of tan(x/2)	\lim\:_{x\to\:\frac{π}{2}}(\tan(\frac{x}{2}))
derivative of f(x(1x^2-1))	\frac{d}{dx}(f(x)(1x^{2}-1))
taylor tan(x)	taylor\:\tan(x)
(\partial)/(\partial x)(e^{8x-200})	\frac{\partial\:}{\partial\:x}(e^{8x-200})
d/(dz(t))(((x-1)z(t))/(2z(t)-4t+1))	\frac{d}{dz(t)}(\frac{(x-1)z(t)}{2z(t)-4t+1})
yy^'=t+ty	yy^{\prime\:}=t+ty
derivative of-xsin(x)	derivative\:-x\sin(x)
(x^4-y^2)dx(x^3-2xy)dy=0	(x^{4}-y^{2})dx(x^{3}-2xy)dy=0
integral of-56sin(7z-5)	\int\:-56\sin(7z-5)dz
derivative of \sqrt[3]{2x^2}	\frac{d}{dx}(\sqrt[3]{2x^{2}})
integral of 1/(x^5*sqrt(x^2-1))	\int\:\frac{1}{x^{5}\cdot\:\sqrt{x^{2}-1}}dx
(\partial)/(\partial x)(4xsqrt(y))	\frac{\partial\:}{\partial\:x}(4x\sqrt{y})
inverse oflaplace 3t^2+2t-2	inverselaplace\:3t^{2}+2t-2
derivative of (6x^2+6x+4)/(sqrt(x))	derivative\:\frac{6x^{2}+6x+4}{\sqrt{x}}
y^{''}-4y^'+4y=0,y(0)=-3,y^'(0)=1	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=0,y(0)=-3,y^{\prime\:}(0)=1
limit as x approaches 3 of cos(pix)+6	\lim\:_{x\to\:3}(\cos(πx)+6)
integral of (4\sqrt[3]{x})/3	\int\:\frac{4\sqrt[3]{x}}{3}dx
(\partial)/(\partial x)(110e^{-0.1t})	\frac{\partial\:}{\partial\:x}(110e^{-0.1t})
derivative of 6x^2+6x	\frac{d}{dx}(6x^{2}+6x)
derivative of 2e^xsin(x)	\frac{d}{dx}(2e^{x}\sin(x))
maclaurin 1/((x^2-a^2))	maclaurin\:\frac{1}{(x^{2}-a^{2})}
(\partial)/(\partial v)(3yuxuv^3-2)	\frac{\partial\:}{\partial\:v}(3yuxuv^{3}-2)
integral of 5cos(sqrt(9x))	\int\:5\cos(\sqrt{9x})dx
(\partial)/(\partial z)(yze^x)	\frac{\partial\:}{\partial\:z}(yze^{x})
(\partial)/(\partial x)(xe^{-x^2-y^2-z^2})	\frac{\partial\:}{\partial\:x}(xe^{-x^{2}-y^{2}-z^{2}})

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