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Popular Calculus Problems

(\partial)/(\partial y)(3x^2(5x+7y))	\frac{\partial\:}{\partial\:y}(3x^{2}(5x+7y))
derivative of f(x)=x^3-6x^2+9x	derivative\:f(x)=x^{3}-6x^{2}+9x
limit as x approaches pi/4 of tan(2x)	\lim\:_{x\to\:\frac{π}{4}}(\tan(2x))
integral of (7x+3)/(sqrt(x))	\int\:\frac{7x+3}{\sqrt{x}}dx
limit as x approaches infinity of x^4	\lim\:_{x\to\:\infty\:}(x^{4})
laplacetransform cos(kt)	laplacetransform\:\cos(kt)
area y=\sqrt[3]{x},y= 1/x ,x=8,x=1	area\:y=\sqrt[3]{x},y=\frac{1}{x},x=8,x=1
integral of sin^7(x)cos^4(x)	\int\:\sin^{7}(x)\cos^{4}(x)dx
tangent of x^4-2x^2+3	tangent\:x^{4}-2x^{2}+3
limit as x approaches 7 of-7	\lim\:_{x\to\:7}(-7)
(\partial)/(\partial z)(e^{7yz})	\frac{\partial\:}{\partial\:z}(e^{7yz})
derivative of x^3-3x^2+4x-1	\frac{d}{dx}(x^{3}-3x^{2}+4x-1)
y^'+sin(t)y=sin(t)	y^{\prime\:}+\sin(t)y=\sin(t)
derivative of 1/2 x^{3/2}	\frac{d}{dx}(\frac{1}{2}x^{\frac{3}{2}})
integral of (3t+2)/(t+1)	\int\:\frac{3t+2}{t+1}dt
derivative of sqrt(e)	\frac{d}{dx}(\sqrt{e})
derivative of (12800)/(1+10e^{-0.5x)}	derivative\:\frac{12800}{1+10e^{-0.5x}}
integral from 0 to 1 of (x^2+5)(e^{-x})	\int\:_{0}^{1}(x^{2}+5)(e^{-x})dx
d/(dθ)(θ^2)	\frac{d}{dθ}(θ^{2})
y^'= y/(3x)-x/(3y)	y^{\prime\:}=\frac{y}{3x}-\frac{x}{3y}
integral of-cos(x)sin(nx)	\int\:-\cos(x)\sin(nx)dx
(\partial)/(\partial x)(3xcos(xy))	\frac{\partial\:}{\partial\:x}(3x\cos(xy))
integral of (()/1)	\int\:(\frac{dy}{1})dx
integral of (2x^2+3x+3)/((x+1)^3)	\int\:\frac{2x^{2}+3x+3}{(x+1)^{3}}dx
integral from 0 to pi/2 of cos^6(x)	\int\:_{0}^{\frac{π}{2}}\cos^{6}(x)dx
derivative of-sin(5x*5)	\frac{d}{dx}(-\sin(5x)\cdot\:5)
integral of sec^2(x)tan(x)e^{sec(x)}	\int\:\sec^{2}(x)\tan(x)e^{\sec(x)}dx
derivative of sin(cos(5x))	derivative\:\sin(\cos(5x))
integral of sin(x)+8	\int\:\sin(x)+8dx
integral of 8/(x^8)	\int\:\frac{8}{x^{8}}dx
derivative of bx^4	derivative\:bx^{4}
derivative of (1-x^4)	\frac{d}{dx}((1-x)^{4})
area x^2-6,12-x^2	area\:x^{2}-6,12-x^{2}
simplify (4sqrt(x)+1/x)(2x-6/(\sqrt[3]{x)})	simplify\:(4\sqrt{x}+\frac{1}{x})(2x-\frac{6}{\sqrt[3]{x}})
integral of (8x-3)*ln(x)	\int\:(8x-3)\cdot\:\ln(x)dx
slope of (7.7)(2.1)	slope\:(7.7)(2.1)
laplacetransform (t^2e^{-2t})/2	laplacetransform\:\frac{t^{2}e^{-2t}}{2}
integral of 1/(u^2-3)	\int\:\frac{1}{u^{2}-3}du
derivative of (x+8/3)	\frac{d}{dx}(\frac{x+8}{3})
limit as x approaches 4 of 1/((x-4)^3)	\lim\:_{x\to\:4}(\frac{1}{(x-4)^{3}})
integral of 2xsec(x)tan(x)	\int\:2x\sec(x)\tan(x)dx
derivative of sqrt(4sin^2(x+9cos^2(x)))	\frac{d}{dx}(\sqrt{4\sin^{2}(x)+9\cos^{2}(x)})
(\partial)/(\partial x)(z^2xy)	\frac{\partial\:}{\partial\:x}(z^{2}xy)
derivative of f(1/(1-5x^2))	derivative\:f(\frac{1}{1-5x^{2}})
integral of y/(sqrt(y+1))	\int\:\frac{y}{\sqrt{y+1}}dy
y=ln(x^2e^x)	y=\ln(x^{2}e^{x})
integral of sin(x)e^{-cos(x)}	\int\:\sin(x)e^{-\cos(x)}dx
derivative of-32x	\frac{d}{dx}(-32x)
integral of 1/(sqrt(x)ln(x))	\int\:\frac{1}{\sqrt{x}\ln(x)}dx
integral from 0 to 1 of 9cos(2x)	\int\:_{0}^{1}9\cos(2x)dx
derivative of ln(sqrt(3-x^2))	\frac{d}{dx}(\ln(\sqrt{3-x^{2}}))
limit as x approaches infinity of 3x+4	\lim\:_{x\to\:\infty\:}(3x+4)
sum from n=0 to infinity of (-1)^n(-1)^n	\sum\:_{n=0}^{\infty\:}(-1)^{n}(-1)^{n}
(\partial)/(\partial y)(ytsec^2(yt))	\frac{\partial\:}{\partial\:y}(yt\sec^{2}(yt))
tangent of (x-3)/(9x-2)	tangent\:\frac{x-3}{9x-2}
(3+2x^{-1}y+2x^{-1}y^2)dx+(1+2y)dy=0	(3+2x^{-1}y+2x^{-1}y^{2})dx+(1+2y)dy=0
tangent of (6x)/(x+8),\at x=1	tangent\:\frac{6x}{x+8},\at\:x=1
integral of (5sec^2(x))	\int\:(5\sec^{2}(x))dx
limit as x approaches 6-of cx^2+5x	\lim\:_{x\to\:6-}(cx^{2}+5x)
slope ofintercept (5.2)(6.4)	slopeintercept\:(5.2)(6.4)
limit as x approaches-9+of sqrt(8x+72)	\lim\:_{x\to\:-9+}(\sqrt{8x+72})
derivative of f(x)=sin^4(sqrt(x))	derivative\:f(x)=\sin^{4}(\sqrt{x})
integral of 1/((x^2-x-2)(x-2))	\int\:\frac{1}{(x^{2}-x-2)(x-2)}dx
y^'=2y-y^2	y^{\prime\:}=2y-y^{2}
integral of sqrt(2px)	\int\:\sqrt{2px}dx
derivative of (cos(2x)^x)	\frac{d}{dx}((\cos(2x))^{x})
integral from 1 to infinity of 2e^{-2x}	\int\:_{1}^{\infty\:}2e^{-2x}dx
integral of (x^2)arcsin(x)	\int\:(x^{2})\arcsin(x)dx
integral of (2y^2)	\int\:(2y^{2})dy
integral of r/(sqrt(a^2-r^2))	\int\:\frac{r}{\sqrt{a^{2}-r^{2}}}dr
integral from-1 to 2 of x(1+x^3)	\int\:_{-1}^{2}x(1+x^{3})dx
derivative of 1/10 (x-60^2+100)	\frac{d}{dx}(\frac{1}{10}(x-60)^{2}+100)
taylor sin^2(x)	taylor\:\sin^{2}(x)
integral of 1/(sec^2(θ))	\int\:\frac{1}{\sec^{2}(θ)}dθ
integral of 4/(\sqrt[3]{x)}	\int\:\frac{4}{\sqrt[3]{x}}dx
(d^2)/(dx^2)(ln(1-x))	\frac{d^{2}}{dx^{2}}(\ln(1-x))
integral of sin(x)sin(x))	\int\:\sin(x)d(\sin(x))dx
tangent of y=4xe^x,(0,0)	tangent\:y=4xe^{x},(0,0)
integral of x(cos(x))	\int\:x(\cos(x))dx
derivative of cos^3(2x)	\frac{d}{dx}(\cos^{3}(2x))
limit as x approaches 3 of 2/(x-3)	\lim\:_{x\to\:3}(\frac{2}{x-3})
derivative of 3csc(xcos^3(x))	\frac{d}{dx}(3\csc(x)\cos^{3}(x))
tangent of y= 1/(1+x^2),(-1, 1/2)	tangent\:y=\frac{1}{1+x^{2}},(-1,\frac{1}{2})
inverse oflaplace 2/(sin^2(+2))	inverselaplace\:\frac{2}{\sin^{2}(+2)}
taylor f(x)=x	taylor\:f(x)=x
limit as x approaches 0 of cos(pix)	\lim\:_{x\to\:0}(\cos(πx))
integral of e^{-2x}x^2	\int\:e^{-2x}x^{2}dx
slope of f(x)=0.01(2)^x11a^{15}	slope\:f(x)=0.01(2)^{x}11a^{15}
integral from 0 to pi/2 of cos^3(31x)	\int\:_{0}^{\frac{π}{2}}\cos^{3}(31x)dx
tangent of f(x)=ln(6-x^2+2x^4),\at x=1	tangent\:f(x)=\ln(6-x^{2}+2x^{4}),\at\:x=1
(dy)/(dx)+(3/x)y=-x+4	\frac{dy}{dx}+(\frac{3}{x})y=-x+4
join 1/3 tan^3(x)-tan(x)+x	join\:\frac{1}{3}\tan^{3}(x)-\tan(x)+x
limit as x approaches-8 of (x+2)/(x+8)	\lim\:_{x\to\:-8}(\frac{x+2}{x+8})
limit as x approaches 2 of 2x^2+7x-1	\lim\:_{x\to\:2}(2x^{2}+7x-1)
limit as x approaches-3+of 2x^2-6	\lim\:_{x\to\:-3+}(2x^{2}-6)
(\partial)/(\partial x)(x^m)	\frac{\partial\:}{\partial\:x}(x^{m})
(\partial)/(\partial x)(((5x+3))/((y-2)))	\frac{\partial\:}{\partial\:x}(\frac{(5x+3)}{(y-2)})
limit as x approaches 5 of (2^x-32)/(x-5)	\lim\:_{x\to\:5}(\frac{2^{x}-32}{x-5})
(\partial)/(\partial t)(te^{s/t})	\frac{\partial\:}{\partial\:t}(te^{\frac{s}{t}})
derivative of arctan(sqrt((1+x/(1-x))))	\frac{d}{dx}(\arctan(\sqrt{\frac{1+x}{1-x}}))

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