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Popular Calculus Problems

integral of x^2-3x+5	\int\:x^{2}-3x+5dx
integral of 7/(x(ln(x))^2)	\int\:\frac{7}{x(\ln(x))^{2}}dx
derivative of y= 8/x	derivative\:y=\frac{8}{x}
limit as x approaches 0 of 2x^2ln(x)	\lim\:_{x\to\:0}(2x^{2}\ln(x))
derivative of \sqrt[5]{(5x/(4x-3)})	\frac{d}{dx}(\sqrt[5]{\frac{5x}{4x-3}})
limit as x approaches 0 of [x]*sin(1/x)	\lim\:_{x\to\:0}([x]\cdot\:\sin(\frac{1}{x}))
integral of (7x^2+8x-2)/(x^2+2x)	\int\:\frac{7x^{2}+8x-2}{x^{2}+2x}dx
limit as z approaches (2i) of z^2-z	\lim\:_{z\to\:(2i)}(z^{2}-z)
derivative of f(x)=2^xlog_{2}(x)	derivative\:f(x)=2^{x}\log_{2}(x)
tangent of f(x)=sqrt(6-x),\at x=3	tangent\:f(x)=\sqrt{6-x},\at\:x=3
integral of x^2e^{-6x}	\int\:x^{2}e^{-6x}dx
taylor ex^2	taylor\:ex^{2}
integral from-2 to 2 of (x^2-4)	\int\:_{-2}^{2}(x^{2}-4)dx
integral of ((2x+1))/(x^2+4x+5)	\int\:\frac{(2x+1)}{x^{2}+4x+5}dx
limit as x approaches 0 of ((1+x)^4-1)/x	\lim\:_{x\to\:0}(\frac{(1+x)^{4}-1}{x})
inverse oflaplace (-3s+9)/((s+3)^2)	inverselaplace\:\frac{-3s+9}{(s+3)^{2}}
d/(dt)(4e^tsin(t))	\frac{d}{dt}(4e^{t}\sin(t))
integral of (5/x-3/(x^2))	\int\:(\frac{5}{x}-\frac{3}{x^{2}})dx
integral from 5 to 8 of 6/(sqrt(x-5))	\int\:_{5}^{8}\frac{6}{\sqrt{x-5}}dx
t^2y^'+y^2=ty,y(1)=-1/2	t^{2}y^{\prime\:}+y^{2}=ty,y(1)=-\frac{1}{2}
(\partial)/(\partial x)(ln(x-y^2))	\frac{\partial\:}{\partial\:x}(\ln(x-y^{2}))
(dy)/(dx)=(4sec(y))/((x-6)^2)	\frac{dy}{dx}=\frac{4\sec(y)}{(x-6)^{2}}
(\partial)/(\partial x)(x^2+xe^{2y}-y)	\frac{\partial\:}{\partial\:x}(x^{2}+xe^{2y}-y)
(dx)/(dy)=4(x^2+1)	\frac{dx}{dy}=4(x^{2}+1)
limit as x approaches infinity of (4x^3+8)/(4x^3+sqrt(64x^6+3))	\lim\:_{x\to\:\infty\:}(\frac{4x^{3}+8}{4x^{3}+\sqrt{64x^{6}+3}})
derivative of (1-2x/(1+2x))	\frac{d}{dx}(\frac{1-2x}{1+2x})
derivative of (arcsin(3x))/x	derivative\:\frac{\arcsin(3x)}{x}
limit as x approaches 1 of 2x+2	\lim\:_{x\to\:1}(2x+2)
(d^2)/(dx^2)(x^{3/2})	\frac{d^{2}}{dx^{2}}(x^{\frac{3}{2}})
integral of (-1)/(sqrt(x^2+16))	\int\:\frac{-1}{\sqrt{x^{2}+16}}dx
derivative of (x^2-3x/(2x+1))	\frac{d}{dx}(\frac{x^{2}-3x}{2x+1})
inverse oflaplace s/(9s+81)	inverselaplace\:\frac{s}{9s+81}
(d^2)/(dx^2)(6sec(x))	\frac{d^{2}}{dx^{2}}(6\sec(x))
integral from 0 to pi of sin(x)cos(x)	\int\:_{0}^{π}\sin(x)\cos(x)dx
limit as x approaches 0 of 1/x*sin(1/x)	\lim\:_{x\to\:0}(\frac{1}{x}\cdot\:\sin(\frac{1}{x}))
laplacetransform t^2*e^{3t}	laplacetransform\:t^{2}\cdot\:e^{3t}
integral of tcos(t)	\int\:t\cos(t)dt
tangent of ln(x^3)	tangent\:\ln(x^{3})
integral of (x^2)/(2+x^6)	\int\:\frac{x^{2}}{2+x^{6}}dx
slope of (-14,-11),(-12,11)	slope\:(-14,-11),(-12,11)
derivative of ((3x+3/(x-5))^5)	\frac{d}{dx}((\frac{3x+3}{x-5})^{5})
integral of 4te^t	\int\:4te^{t}dt
integral of (ln(cos(x)))/(cot(x))	\int\:\frac{\ln(\cos(x))}{\cot(x)}dx
integral of (3x-4)^4	\int\:(3x-4)^{4}dx
derivative of 7sqrt(t)	derivative\:7\sqrt{t}
derivative of f(x)=3sqrt(25-x^2)	derivative\:f(x)=3\sqrt{25-x^{2}}
derivative of (c^3-x^3/(c^3+x^3))	\frac{d}{dx}(\frac{c^{3}-x^{3}}{c^{3}+x^{3}})
integral of 8/(xsqrt(x^2+2))	\int\:\frac{8}{x\sqrt{x^{2}+2}}dx
integral of 5tan^2(x)sec^3(x)	\int\:5\tan^{2}(x)\sec^{3}(x)dx
integral of 1/(x^2)+1/(xsqrt(x))+5	\int\:\frac{1}{x^{2}}+\frac{1}{x\sqrt{x}}+5dx
derivative of (x^4+2^2(x^3+4)^4)	\frac{d}{dx}((x^{4}+2)^{2}(x^{3}+4)^{4})
integral of (e^{2x}+e^{-2x})	\int\:(e^{2x}+e^{-2x})dx
derivative of \sqrt[3]{(4x^2+3x-2^2})	\frac{d}{dx}(\sqrt[3]{(4x^{2}+3x-2)^{2}})
derivative of 5/(1-8x)	derivative\:\frac{5}{1-8x}
(\partial)/(\partial x)(y^2e^{xy-3})	\frac{\partial\:}{\partial\:x}(y^{2}e^{xy-3})
f(x)=ln(arctan(x))	f(x)=\ln(\arctan(x))
integral of (sin(4x)+cosh(3x))	\int\:(\sin(4x)+\cosh(3x))dx
integral from-1 to 3 of (2x^2-x+5)	\int\:_{-1}^{3}(2x^{2}-x+5)dx
tangent of y=sqrt(3x+1),(8,5)	tangent\:y=\sqrt{3x+1},(8,5)
integral of 2x^2-6x	\int\:2x^{2}-6xdx
derivative of ln((2x+3^4)(x+1)^3)	\frac{d}{dx}(\ln((2x+3)^{4})(x+1)^{3})
derivative of y=-2e^{5x^2}	derivative\:y=-2e^{5x^{2}}
4y^{''}-25y=0	4y^{\prime\:\prime\:}-25y=0
derivative of f(x)=2+x	derivative\:f(x)=2+x
(2x^3+y^3)dx-3xy^2dy=0	(2x^{3}+y^{3})dx-3xy^{2}dy=0
d/(dθ)(sin(θ)cos(θ))	\frac{d}{dθ}(\sin(θ)\cos(θ))
integral of e^{sin(pi)x}cos(pi)x	\int\:e^{\sin(π)x}\cos(π)xdx
limit as x approaches 1 of x^2-2x-1	\lim\:_{x\to\:1}(x^{2}-2x-1)
integral of (cos(x))/(4+sin^2(x))	\int\:\frac{\cos(x)}{4+\sin^{2}(x)}dx
integral of (432)/(w^2sqrt(144-w^2))	\int\:\frac{432}{w^{2}\sqrt{144-w^{2}}}dw
f(x)=e^{3x^2}	f(x)=e^{3x^{2}}
integral of xtan^2(x)	\int\:x\tan^{2}(x)dx
derivative of 5sin(x+2cos(x))	\frac{d}{dx}(5\sin(x)+2\cos(x))
derivative of f(x)=e^{x+1}+7	derivative\:f(x)=e^{x+1}+7
integral of-3/2 e^{-x}sin(2x)	\int\:-\frac{3}{2}e^{-x}\sin(2x)dx
integral of-(2x^2)/5+(3x)/4-1/6	\int\:-\frac{2x^{2}}{5}+\frac{3x}{4}-\frac{1}{6}dx
derivative of e^{-(x^2/2})	\frac{d}{dx}(e^{-\frac{x^{2}}{2}})
integral of 1/(3x^3)	\int\:\frac{1}{3x^{3}}dx
integral of (1 (x))	\int\:(\frac{d}{1}(x))dx
derivative of y=x2^x	derivative\:y=x2^{x}
y^{''}+25y=cos(5x)	y^{\prime\:\prime\:}+25y=\cos(5x)
derivative of (x-2(x^2+4))	\frac{d}{dx}((x-2)(x^{2}+4))
integral of ln(x^2+13x+42)	\int\:\ln(x^{2}+13x+42)dx
integral of x/(9x^2+675)	\int\:\frac{x}{9x^{2}+675}dx
integral of (e^x)/(sqrt(x))	\int\:\frac{e^{x}}{\sqrt{x}}dx
limit as x approaches 1-of (3+x)/(x^2-1)	\lim\:_{x\to\:1-}(\frac{3+x}{x^{2}-1})
derivative of-(15/(8x^{7/2)})	\frac{d}{dx}(-\frac{15}{8x^{\frac{7}{2}}})
integral of 1/((x^3+1))	\int\:\frac{1}{(x^{3}+1)}dx
y^{''}-6y^'+9y=2e^{3t}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=2e^{3t}
integral of (-2sec^2(x))/((4+tan(x))^3)	\int\:\frac{-2\sec^{2}(x)}{(4+\tan(x))^{3}}dx
derivative of y=e^{9e^x}	derivative\:y=e^{9e^{x}}
x((dy)/(dx))+y= 1/(y^2)	x(\frac{dy}{dx})+y=\frac{1}{y^{2}}
derivative of y=xsqrt(x)	derivative\:y=x\sqrt{x}
integral of 1/(x^2)(ln^2(x))	\int\:\frac{1}{x^{2}}(\ln^{2}(x))dx
limit as x approaches pi of 6	\lim\:_{x\to\:π}(6)
(d^2Q)/(dt^2)-7(dQ)/(dt)+5Q=0	\frac{d^{2}Q}{dt^{2}}-7\frac{dQ}{dt}+5Q=0
integral of (cos(t))/(sqrt(1+sin^2(t)))	\int\:\frac{\cos(t)}{\sqrt{1+\sin^{2}(t)}}dt
derivative of 7/((x+1^2))	\frac{d}{dx}(\frac{7}{(x+1)^{2}})
derivative of 1/(1+1/4 x)	\frac{d}{dx}(\frac{1}{1+\frac{1}{4}x})
integral of (ax^4+bx^3+3c)	\int\:(ax^{4}+bx^{3}+3c)dx

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