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Popular Calculus Problems

derivative of ln((2x-1/(x-1)))	\frac{d}{dx}(\ln(\frac{2x-1}{x-1}))
d/(du)(2u)	\frac{d}{du}(2u)
derivative of f(x)=x^2-1,x=-1,x=1	derivative\:f(x)=x^{2}-1,x=-1,x=1
derivative of sec^2(7x)	derivative\:\sec^{2}(7x)
derivative of 2x^3-8x	\frac{d}{dx}(2x^{3}-8x)
e^x+e^y(dy)/(dx)=0	e^{x}+e^{y}\frac{dy}{dx}=0
limit as x approaches 3 of 2x+1	\lim\:_{x\to\:3}(2x+1)
integral of e^{-cos(3x)}sin(3x)	\int\:e^{-\cos(3x)}\sin(3x)dx
(\partial)/(\partial y)((9y)/(sqrt(x)))	\frac{\partial\:}{\partial\:y}(\frac{9y}{\sqrt{x}})
integral of sin(kx)	\int\:\sin(kx)dx
limit as x approaches 7 of 6/(x-7)	\lim\:_{x\to\:7}(\frac{6}{x-7})
y^{'''}+5y^{''}+4y^'-10y=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}+4y^{\prime\:}-10y=0
integral of (1-sqrt(x))/(sqrt(x))	\int\:\frac{1-\sqrt{x}}{\sqrt{x}}dx
derivative of (10log_{4}(t))/t	derivative\:\frac{10\log_{4}(t)}{t}
integral of-2xsqrt(8-x^2)	\int\:-2x\sqrt{8-x^{2}}dx
limit as x approaches 0+of (x-\|x\|)/x	\lim\:_{x\to\:0+}(\frac{x-\left\|x\right\|}{x})
limit as x approaches infinity of ln(3x)-ln(x+7)	\lim\:_{x\to\:\infty\:}(\ln(3x)-\ln(x+7))
derivative of 2xsqrt(x^2+1)	\frac{d}{dx}(2x\sqrt{x^{2}+1})
integral of (6x+7)/((9x^2+21x)^3)	\int\:\frac{6x+7}{(9x^{2}+21x)^{3}}dx
derivative of (x^2/(x^3+8))	\frac{d}{dx}(\frac{x^{2}}{x^{3}+8})
derivative of 10sqrt(3)sin(x-10cos(x))	\frac{d}{dx}(10\sqrt{3}\sin(x)-10\cos(x))
integral of 1/(x^2+60)	\int\:\frac{1}{x^{2}+60}dx
limit as x approaches infinity of 4xe^{(1/x)}-4x	\lim\:_{x\to\:\infty\:}(4xe^{(\frac{1}{x})}-4x)
tangent of f(x)= 3/x ,\at x=2	tangent\:f(x)=\frac{3}{x},\at\:x=2
area y^2-3x=4,x-y=2	area\:y^{2}-3x=4,x-y=2
derivative of e^{z/((z-3))}	derivative\:e^{\frac{z}{(z-3)}}
9y^{''}+18y^'+11y=0	9y^{\prime\:\prime\:}+18y^{\prime\:}+11y=0
integral from 0 to-0.5 of 300x	\int\:_{0}^{-0.5}300xdx
tangent of x^2+4xy+y^2=13,(2,1)	tangent\:x^{2}+4xy+y^{2}=13,(2,1)
integral of 2-(x^2)/2	\int\:2-\frac{x^{2}}{2}dx
limit as x approaches 1 of (x-2)(x^2-6x)	\lim\:_{x\to\:1}((x-2)(x^{2}-6x))
derivative of (sin(x)^{x^3})	\frac{d}{dx}((\sin(x))^{x^{3}})
derivative of y=ln(9x)	derivative\:y=\ln(9x)
limit as x approaches infinity of mx+b	\lim\:_{x\to\:\infty\:}(mx+b)
integral of 1/((x^2-8x)^{3/2)}	\int\:\frac{1}{(x^{2}-8x)^{\frac{3}{2}}}dx
(\partial)/(\partial x)(((5x+3))/(y-2))	\frac{\partial\:}{\partial\:x}(\frac{(5x+3)}{y-2})
integral of 20	\int\:20
derivative of sin(x+3)	\frac{d}{dx}(\sin(x+3))
f(x)=ln(x-2)	f(x)=\ln(x-2)
limit as x approaches 2+of 1/(3x-6)	\lim\:_{x\to\:2+}(\frac{1}{3x-6})
integral of ((x-3))/((3x-2)^2)	\int\:\frac{(x-3)}{(3x-2)^{2}}dx
integral of 2sin(x/3)	\int\:2\sin(\frac{x}{3})dx
integral of (x+3)(x^2+6x-7)	\int\:(x+3)(x^{2}+6x-7)dx
tangent of f(x)=(x-1)^2+1,\at x=1	tangent\:f(x)=(x-1)^{2}+1,\at\:x=1
y^'+1/x y=4x^2	y^{\prime\:}+\frac{1}{x}y=4x^{2}
integral of-e^{4x-8}+1	\int\:-e^{4x-8}+1dx
derivative of 7ln(2x)	\frac{d}{dx}(7\ln(2x))
integral of sin(4x+pi)	\int\:\sin(4x+π)dx
derivative of 1/(\sqrt[7]{x)}	derivative\:\frac{1}{\sqrt[7]{x}}
derivative of (2x^2/3)	\frac{d}{dx}(\frac{2x^{2}}{3})
taylor (1+x)^{-3/5}	taylor\:(1+x)^{-\frac{3}{5}}
derivative of 17e^{x^2}	\frac{d}{dx}(17e^{x^{2}})
integral of 9sin^2(3x)cos(3x)ln(sin(3x))	\int\:9\sin^{2}(3x)\cos(3x)\ln(\sin(3x))dx
(dy)/(dx)=11e^{x-y}	\frac{dy}{dx}=11e^{x-y}
(dy)/(dt)=ty	\frac{dy}{dt}=ty
(\partial)/(\partial x)(5x^3y^2-xln(y))	\frac{\partial\:}{\partial\:x}(5x^{3}y^{2}-x\ln(y))
derivative of ln(e^{rx}+s)	derivative\:\ln(e^{rx}+s)
derivative of f(x)=x^2-2x-2	derivative\:f(x)=x^{2}-2x-2
(\partial)/(\partial x)(10^{-2x})	\frac{\partial\:}{\partial\:x}(10^{-2x})
integral of arccotan(x)	\int\:arcco\tan(x)dx
derivative of 6x^3sqrt(x)csc(x)	\frac{d}{dx}(6x^{3}\sqrt{x}\csc(x))
area x^2,x+2,-1,2	area\:x^{2},x+2,-1,2
integral of sin^5(2t)cos(2t)	\int\:\sin^{5}(2t)\cos(2t)dt
area 3x^3-2x,-3,3	area\:3x^{3}-2x,-3,3
(\partial)/(\partial y)(1/(t(y^2-9)))	\frac{\partial\:}{\partial\:y}(\frac{1}{t(y^{2}-9)})
area f(x)= x/(sqrt(9-x^2)),g(y)=0,y=2	area\:f(x)=\frac{x}{\sqrt{9-x^{2}}},g(y)=0,y=2
derivative of arcsin(2x-1)	\frac{d}{dx}(\arcsin(2x-1))
y^{''}-2y^'-3y=3e^{2t},y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=3e^{2t},y(0)=1,y^{\prime\:}(0)=0
limit as x approaches infinity of 1/3	\lim\:_{x\to\:\infty\:}(\frac{1}{3})
(dy)/(dx)+2y-8e^{-x}=0,y(0)=7	\frac{dy}{dx}+2y-8e^{-x}=0,y(0)=7
integral from 0 to 1 of (e^x)-(xe^{x^2})	\int\:_{0}^{1}(e^{x})-(xe^{x^{2}})dx
integral of (1+x^2)/(x-x^3)	\int\:\frac{1+x^{2}}{x-x^{3}}dx
integral of 1/(sqrt(196-x^2))	\int\:\frac{1}{\sqrt{196-x^{2}}}dx
integral of (5-2x)^9	\int\:(5-2x)^{9}dx
limit as x approaches infinity of xsin((2pi)/x)	\lim\:_{x\to\:\infty\:}(x\sin(\frac{2π}{x}))
derivative of 12-3x-4y	\frac{d}{dx}(12-3x-4y)
integral of (14)/((49x^2+1)^2)	\int\:\frac{14}{(49x^{2}+1)^{2}}dx
derivative of f(x)=2x^2-9x+10	derivative\:f(x)=2x^{2}-9x+10
integral of x\sqrt[5]{5-x^2}	\int\:x\sqrt[5]{5-x^{2}}dx
integral of (x-3)/x	\int\:\frac{x-3}{x}dx
integral of x^22^x	\int\:x^{2}2^{x}dx
sum from n=0 to infinity of (x^n)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{3^{n}}
integral of (x^5+x)/(x+1)	\int\:\frac{x^{5}+x}{x+1}dx
derivative of sqrt(x)+\sqrt[8]{x}	derivative\:\sqrt{x}+\sqrt[8]{x}
limit as x approaches infinity of (e^{4x})/(5x)	\lim\:_{x\to\:\infty\:}(\frac{e^{4x}}{5x})
derivative of (sin(x))^{(87)}	derivative\:(\sin(x))^{(87)}
derivative of 1/3 e^{-3x}	\frac{d}{dx}(\frac{1}{3}e^{-3x})
inverse oflaplace 1/((s^2+2s+2)(s^2+9))	inverselaplace\:\frac{1}{(s^{2}+2s+2)(s^{2}+9)}
derivative of (3x+1^2)	\frac{d}{dx}((3x+1)^{2})
integral of (200)/(sqrt(16x^2+256))	\int\:\frac{200}{\sqrt{16x^{2}+256}}dx
limit as x approaches 3-of 1/(3-x)	\lim\:_{x\to\:3-}(\frac{1}{3-x})
integral of ke^{3x}	\int\:ke^{3x}dx
derivative of sqrt(x)+5sin(x)	\frac{d}{dx}(\sqrt{x}+5\sin(x))
derivative of f(x)=19e^{x^2}	derivative\:f(x)=19e^{x^{2}}
f(x)=e^{e^x}	f(x)=e^{e^{x}}
y*e^{2x}dx=(1+e^{2x})dy	y\cdot\:e^{2x}dx=(1+e^{2x})dy
laplacetransform cos(25pit+pi/2)	laplacetransform\:\cos(25πt+\frac{π}{2})
d/(dy)((x+y)/(xy))	\frac{d}{dy}(\frac{x+y}{xy})
derivative of y=sin^4(x)	derivative\:y=\sin^{4}(x)
integral from 0 to 2 of pi(2x)^2	\int\:_{0}^{2}π(2x)^{2}dx

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