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Popular Calculus Problems

integral from-1 to 2 of 1+x^2	\int\:_{-1}^{2}1+x^{2}dx
derivative of cos(x+xsin(x))	\frac{d}{dx}(\cos(x)+x\sin(x))
xy^'-y^2=xy^2	xy^{\prime\:}-y^{2}=xy^{2}
derivative of f(x)=8sin^3(sqrt(x))	derivative\:f(x)=8\sin^{3}(\sqrt{x})
derivative of ((5x^5-3)/((-3x^3+1)))	\frac{d}{dx}(\frac{(5x^{5}-3)}{(-3x^{3}+1)})
derivative of y=2(6x^2-42x+49)	derivative\:y=2(6x^{2}-42x+49)
f(x)=25x	f(x)=25x
integral from 1 to e of 3x^2ln(x)	\int\:_{1}^{e}3x^{2}\ln(x)dx
(\partial)/(\partial y)(xy-x^2y)	\frac{\partial\:}{\partial\:y}(xy-x^{2}y)
integral of 4e^{-0.8x}	\int\:4e^{-0.8x}dx
integral of x(x^2+1)^{1/2}	\int\:x(x^{2}+1)^{\frac{1}{2}}dx
(\partial)/(\partial x)(\sqrt[3]{x^2y+3y})	\frac{\partial\:}{\partial\:x}(\sqrt[3]{x^{2}y+3y})
derivative of f(x)=-3\sqrt[3]{x}	derivative\:f(x)=-3\sqrt[3]{x}
limit as x approaches+(-3)+of f(x)	\lim\:_{x\to\:+(-3)+}(f(x))
derivative of 6arctan(x)	\frac{d}{dx}(6\arctan(x))
derivative of 2/x-1/(x^2)	\frac{d}{dx}(\frac{2}{x}-\frac{1}{x^{2}})
derivative of 2sqrt(4-y)	derivative\:2\sqrt{4-y}
integral of 1/(sqrt(x^2-a^2))	\int\:\frac{1}{\sqrt{x^{2}-a^{2}}}dx
integral of t/(t-1)	\int\:\frac{t}{t-1}dt
derivative of csc(5x)	\frac{d}{dx}(\csc(5x))
tangent of y= 1/(x^2),(2, 1/4)	tangent\:y=\frac{1}{x^{2}},(2,\frac{1}{4})
(sqrt(t+1))^'	(\sqrt{t+1})^{\prime\:}
integral of 8/(x(x+2))	\int\:\frac{8}{x(x+2)}dx
limit as x approaches 0 of (sin^2(5x))/x	\lim\:_{x\to\:0}(\frac{\sin^{2}(5x)}{x})
taylor e^{-9x},0	taylor\:e^{-9x},0
laplacetransform t^2(8e^{2t}-6sin(2t))	laplacetransform\:t^{2}(8e^{2t}-6\sin(2t))
derivative of x^2-39.5x+120+(125/x)	\frac{d}{dx}(x^{2}-39.5x+120+\frac{125}{x})
limit as x approaches 0-of 1/(x^3-x)	\lim\:_{x\to\:0-}(\frac{1}{x^{3}-x})
integral of (x+4)^5	\int\:(x+4)^{5}dx
y^'=10^{-21}y^3	y^{\prime\:}=10^{-21}y^{3}
integral of ((1-x))/(x^2+1)	\int\:\frac{(1-x)}{x^{2}+1}dx
(\partial)/(\partial x)(x^{y+z})	\frac{\partial\:}{\partial\:x}(x^{y+z})
integral of x^2ln(2x-3)	\int\:x^{2}\ln(2x-3)dx
limit as x approaches-1 of x^2+5x+6	\lim\:_{x\to\:-1}(x^{2}+5x+6)
y^{''}-7y^'=-3	y^{\prime\:\prime\:}-7y^{\prime\:}=-3
(\partial)/(\partial x)(t^3e^{-(x^2)/(2t)})	\frac{\partial\:}{\partial\:x}(t^{3}e^{-\frac{x^{2}}{2t}})
integral from 0 to 7 of sqrt(4+3x)	\int\:_{0}^{7}\sqrt{4+3x}dx
inverse oflaplace s/(s^2+4s+13)	inverselaplace\:\frac{s}{s^{2}+4s+13}
integral of e^{-st}sin(at)	\int\:e^{-st}\sin(at)dt
integral from-7 to 9 of (x/2+9)	\int\:_{-7}^{9}(\frac{x}{2}+9)dx
limit as x approaches 2 of x/x	\lim\:_{x\to\:2}(\frac{x}{x})
derivative of cos(2x*2)	\frac{d}{dx}(\cos(2x)\cdot\:2)
derivative of y=(x^7)/(x^5)x=0	derivative\:y=\frac{x^{7}}{x^{5}}x=0
integral of sqrt((4-x)/(4+x))	\int\:\sqrt{\frac{4-x}{4+x}}dx
derivative of ln((x+1/(x-3)))	\frac{d}{dx}(\ln(\frac{x+1}{x-3}))
f(x)= 5/(x^3)	f(x)=\frac{5}{x^{3}}
integral of 8u^{7/2}	\int\:8u^{\frac{7}{2}}du
taylor 5^x,0	taylor\:5^{x},0
derivative of y=(x^4+2)^2(x^5+4)^4	derivative\:y=(x^{4}+2)^{2}(x^{5}+4)^{4}
derivative of e^4x^7	\frac{d}{dx}(e^{4}x^{7})
integral of (3x^2-2)^2	\int\:(3x^{2}-2)^{2}dx
tangent of f(x)=x^2+5	tangent\:f(x)=x^{2}+5
y^{''}+y=3e^{-8x},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+y=3e^{-8x},y(0)=0,y^{\prime\:}(0)=0
limit as x approaches 4 of 16-x^2	\lim\:_{x\to\:4}(16-x^{2})
limit as x approaches-2 of 5	\lim\:_{x\to\:-2}(5)
tangent of y=x^3-4x+3	tangent\:y=x^{3}-4x+3
integral of sqrt(4x+5)	\int\:\sqrt{4x+5}dx
limit as x approaches 1 of (tan(x))/x	\lim\:_{x\to\:1}(\frac{\tan(x)}{x})
integral of 100e^{-0.01x}	\int\:100e^{-0.01x}dx
integral of 2/(x^2-1)	\int\:\frac{2}{x^{2}-1}dx
tangent of f(x)=8x+ln(x^2),\at x=1	tangent\:f(x)=8x+\ln(x^{2}),\at\:x=1
derivative of (sin(x)/(e^x))	\frac{d}{dx}(\frac{\sin(x)}{e^{x}})
integral of x/(2x-3)	\int\:\frac{x}{2x-3}dx
(\partial)/(\partial x)(2xy^3-1)	\frac{\partial\:}{\partial\:x}(2xy^{3}-1)
(dy)/(dt)= t/(y+1)	\frac{dy}{dt}=\frac{t}{y+1}
d/(dt)(e^t(acos(2t)+cos(2t)))	\frac{d}{dt}(e^{t}(a\cos(2t)+\cos(2t)))
derivative of f(x)=-x+4/x+1	derivative\:f(x)=-x+\frac{4}{x}+1
(\partial)/(\partial x)(u^2)	\frac{\partial\:}{\partial\:x}(u^{2})
integral of ((x^3))/(x-1)	\int\:\frac{(x^{3})}{x-1}dx
maclaurin x/(1+x)	maclaurin\:\frac{x}{1+x}
(\partial)/(\partial x)(x/(y^3)+(3y)/(x^3))	\frac{\partial\:}{\partial\:x}(\frac{x}{y^{3}}+\frac{3y}{x^{3}})
tangent of x^2-5x+5(0.5)	tangent\:x^{2}-5x+5(0.5)
limit as h approaches 0 of ((3ln(e+h)-3ln(e)))/h	\lim\:_{h\to\:0}(\frac{(3\ln(e+h)-3\ln(e))}{h})
integral of 4/(x^3-5x^2+7x-3)	\int\:\frac{4}{x^{3}-5x^{2}+7x-3}dx
integral of ln(x)-1	\int\:\ln(x)-1dx
area 3/8 x^2,1,2	area\:\frac{3}{8}x^{2},1,2
slope of (-9,-6),(3,-9)	slope\:(-9,-6),(3,-9)
xe^{2y}(dy}{dx}+e^{2y}=\frac{ln(x))/x	xe^{2y}\frac{dy}{dx}+e^{2y}=\frac{\ln(x)}{x}
integral of 1/(4u^2+3)	\int\:\frac{1}{4u^{2}+3}du
integral of 8arctan(2y)	\int\:8\arctan(2y)dy
(\partial)/(\partial y)(e^{x^2}-y)	\frac{\partial\:}{\partial\:y}(e^{x^{2}}-y)
integral of sin(120pix)	\int\:\sin(120πx)dx
tangent of f(x)=4x^2-x^3,(1,3)	tangent\:f(x)=4x^{2}-x^{3},(1,3)
normal of y=-x^2-2x+2,(-3,-1)	normal\:y=-x^{2}-2x+2,(-3,-1)
taylor sin(x),0	taylor\:\sin(x),0
y^'-9/x y=(y^5)/(x^6)	y^{\prime\:}-\frac{9}{x}y=\frac{y^{5}}{x^{6}}
sum from n=1 to infinity of e^{-2n}	\sum\:_{n=1}^{\infty\:}e^{-2n}
xy^'=y^2+y	xy^{\prime\:}=y^{2}+y
taylor 3/(x+3)-sqrt(5-2x),0	taylor\:\frac{3}{x+3}-\sqrt{5-2x},0
integral of (x^{-2}-4)/(x^3)	\int\:\frac{x^{-2}-4}{x^{3}}dx
integral of sin^5(5x)cos^2(5x)	\int\:\sin^{5}(5x)\cos^{2}(5x)dx
integral of x/(x^2+x+2)	\int\:\frac{x}{x^{2}+x+2}dx
derivative of (2x^3+5/(4x^2+7))	\frac{d}{dx}(\frac{2x^{3}+5}{4x^{2}+7})
derivative of ({f}(x(x^3))^2)	\frac{d}{dx}(({f}(x)(x^{3}))^{2})
derivative of 3cot(2xsec(2x))	\frac{d}{dx}(3\cot(2x)\sec(2x))
(d^2)/(dx^2)(x^4-2x^3)	\frac{d^{2}}{dx^{2}}(x^{4}-2x^{3})
derivative of e^{x^2+x+1}	\frac{d}{dx}(e^{x^{2}+x+1})
expand 6/((1-x)^3)	expand\:\frac{6}{(1-x)^{3}}
d/(dt)((t^4)/4)	\frac{d}{dt}(\frac{t^{4}}{4})
derivative of x^{-2/5}	\frac{d}{dx}(x^{-\frac{2}{5}})

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