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Popular Calculus Problems

derivative of e^{x^2-y^2}sin(2xy)	\frac{d}{dx}(e^{x^{2}-y^{2}}\sin(2xy))
integral of cos(1-x)	\int\:\cos(1-x)dx
simplify 2cos(x^3)-2/x	simplify\:2\cos(x^{3})-\frac{2}{x}
normal of y=4x-1,(1,-4)	normal\:y=4x-1,(1,-4)
(\partial)/(\partial x)(4xsin(xy))	\frac{\partial\:}{\partial\:x}(4x\sin(xy))
derivative of e^xcos(8x)	\frac{d}{dx}(e^{x}\cos(8x))
tangent of f(x)= x/(x-3),\at x=1	tangent\:f(x)=\frac{x}{x-3},\at\:x=1
(\partial)/(\partial x)(3x^2+xy+y^2-8)	\frac{\partial\:}{\partial\:x}(3x^{2}+xy+y^{2}-8)
(\partial)/(\partial x)(6/(x-2)+7x)	\frac{\partial\:}{\partial\:x}(\frac{6}{x-2}+7x)
integral of (x^2-5x+2)	\int\:(x^{2}-5x+2)dx
derivative of log_{e}(3x)	\frac{d}{dx}(\log_{e}(3x))
(\partial)/(\partial y)(xe^{2xy})	\frac{\partial\:}{\partial\:y}(xe^{2xy})
slope of y=e^x,(1,e)	slope\:y=e^{x},(1,e)
integral from 15 to 30 of 12	\int\:_{15}^{30}12dx
inverse oflaplace 1/(x^2(x^2+1))	inverselaplace\:\frac{1}{x^{2}(x^{2}+1)}
(\partial)/(\partial x)(θ)	\frac{\partial\:}{\partial\:x}(θ)
integral of 1/x (1/x+sqrt(x))^2	\int\:\frac{1}{x}(\frac{1}{x}+\sqrt{x})^{2}dx
area (37)/(x^3),1,100	area\:\frac{37}{x^{3}},1,100
y^'+8y=1,y(0)=1	y^{\prime\:}+8y=1,y(0)=1
laplacetransform f(t)=e^{2t+1}	laplacetransform\:f(t)=e^{2t+1}
derivative of (-3x+8/(2sqrt(4-x)))	\frac{d}{dx}(\frac{-3x+8}{2\sqrt{4-x}})
derivative of (x-5/(4x^2e^x))	\frac{d}{dx}(\frac{x-5}{4x^{2}e^{x}})
limit as x approaches 0 of x^4cos(1/x)	\lim\:_{x\to\:0}(x^{4}\cos(\frac{1}{x}))
(e^{-2t})^'	(e^{-2t})^{\prime\:}
integral of (-6x^4+6)/(x^2+1)	\int\:\frac{-6x^{4}+6}{x^{2}+1}dx
integral of 1/(e^{10x)}	\int\:\frac{1}{e^{10x}}dx
derivative of x^3-3x^2-2x+1	\frac{d}{dx}(x^{3}-3x^{2}-2x+1)
derivative of 3x^{-3}	\frac{d}{dx}(3x^{-3})
integral of sqrt(t^2-2t^4)	\int\:\sqrt{t^{2}-2t^{4}}dt
derivative of f(x)=(4x+3)/(4x-3)	derivative\:f(x)=\frac{4x+3}{4x-3}
integral from-3 to 3 of (16)/(x^2-6x-55)	\int\:_{-3}^{3}\frac{16}{x^{2}-6x-55}dx
derivative of (1-e^x(x+e^x))	\frac{d}{dx}((1-e^{x})(x+e^{x}))
(\partial)/(\partial z)(x^2yz^2+sin(yz))	\frac{\partial\:}{\partial\:z}(x^{2}yz^{2}+\sin(yz))
integral of sqrt(1+(x^2)/(2-x^2))	\int\:\sqrt{1+\frac{x^{2}}{2-x^{2}}}dx
integral of (3^x)/(2^x)	\int\:\frac{3^{x}}{2^{x}}dx
limit as x approaches 0 of 15	\lim\:_{x\to\:0}(15)
integral of (6x)/(x^2+4)	\int\:\frac{6x}{x^{2}+4}dx
slope ofintercept (-2,7),(0,5)	slopeintercept\:(-2,7),(0,5)
d/(dv)(sqrt(u/v))	\frac{d}{dv}(\sqrt{\frac{u}{v}})
limit as x approaches 0 of (1+7x)^{5/x}	\lim\:_{x\to\:0}((1+7x)^{\frac{5}{x}})
(\partial)/(\partial y)(-xe^{-3xy})	\frac{\partial\:}{\partial\:y}(-xe^{-3xy})
integral from 0 to 1 of (1+x)^3	\int\:_{0}^{1}(1+x)^{3}dx
area y=3x-x^2,y=-4x	area\:y=3x-x^{2},y=-4x
integral of 8/(9+3x)	\int\:\frac{8}{9+3x}dx
t^3(dy)/(dt)+3t^2y=3cos(t),y(pi)=0	t^{3}\frac{dy}{dt}+3t^{2}y=3\cos(t),y(π)=0
integral of (5x^4-2)/(sqrt(x^5-2x+11))	\int\:\frac{5x^{4}-2}{\sqrt{x^{5}-2x+11}}dx
y^'+3y=e^{5t}	y^{\prime\:}+3y=e^{5t}
limit as x approaches-2 of-(x^2-4)/(x+2)	\lim\:_{x\to\:-2}(-\frac{x^{2}-4}{x+2})
integral of xe^{mx}	\int\:xe^{mx}dx
limit as x approaches 0 of (e^{5x}-1)/x	\lim\:_{x\to\:0}(\frac{e^{5x}-1}{x})
integral of cos(5x)sin(x)sin(8x)	\int\:\cos(5x)\sin(x)\sin(8x)dx
(dy)/(dx)=(xcos(x^2))/(4y)	\frac{dy}{dx}=\frac{x\cos(x^{2})}{4y}
derivative of cos^2(x+cos(x^2))	\frac{d}{dx}(\cos^{2}(x)+\cos(x^{2}))
y^'=-x/(4y)	y^{\prime\:}=-\frac{x}{4y}
derivative of y=(sin(3x))ln(x)	derivative\:y=(\sin(3x))\ln(x)
derivative of 48x^{1/2}	\frac{d}{dx}(48x^{\frac{1}{2}})
integral of 8/(x^2(x^2+25))	\int\:\frac{8}{x^{2}(x^{2}+25)}dx
f(x)= 2/(ln(x))	f(x)=\frac{2}{\ln(x)}
x^2yy^'=ey	x^{2}yy^{\prime\:}=ey
d/(dt)(t-\sqrt[3]{t})	\frac{d}{dt}(t-\sqrt[3]{t})
derivative of ((1-cos(x)/(1+cos(x)))^3)	\frac{d}{dx}((\frac{1-\cos(x)}{1+\cos(x)})^{3})
limit as x approaches-2-of 6x+5	\lim\:_{x\to\:-2-}(6x+5)
(\partial)/(\partial y)(xe^{x+y})	\frac{\partial\:}{\partial\:y}(xe^{x+y})
limit as x approaches 0 of (5-5sin(x))/x	\lim\:_{x\to\:0}(\frac{5-5\sin(x)}{x})
derivative of (5x+2^2)	\frac{d}{dx}((5x+2)^{2})
integral of ((3x)/(1+x^4))	\int\:(\frac{3x}{1+x^{4}})dx
integral from 0 to 2 of (e^x-e^{-x})^2	\int\:_{0}^{2}(e^{x}-e^{-x})^{2}dx
integral of sqrt(x)-3	\int\:\sqrt{x}-3dx
y^{''}-2y^'+y=e^xarctan(x)	y^{\prime\:\prime\:}-2y^{\prime\:}+y=e^{x}\arctan(x)
integral of xsin(14x)	\int\:x\sin(14x)dx
limit as x approaches-pi/2-of sec(x)	\lim\:_{x\to\:-\frac{π}{2}-}(\sec(x))
tangent of f(x)=4sin(x),(pi/6 ,2)	tangent\:f(x)=4\sin(x),(\frac{π}{6},2)
derivative of tanh(x^2-9)	\frac{d}{dx}(\tanh(x^{2}-9))
limit as x approaches 7 of x^4	\lim\:_{x\to\:7}(x^{4})
integral of (6x-5)sqrt((3x^2-5x)^3)	\int\:(6x-5)\sqrt{(3x^{2}-5x)^{3}}dx
integral of y^{3/2}	\int\:y^{\frac{3}{2}}dy
derivative of ln(cos(t))	derivative\:\ln(\cos(t))
derivative of (x^2-5x^4)	\frac{d}{dx}((x^{2}-5x)^{4})
sum from n=1 to infinity}(((-1)^{(n-1) of))/(((2n-1)^3))	\sum\:_{n=1}^{\infty\:}\frac{((-1)^{(n-1)})}{((2n-1)^{3})}
integral of (x^2-4x+5)/((x^2-1)(x+3))	\int\:\frac{x^{2}-4x+5}{(x^{2}-1)(x+3)}dx
integral from 1 to 4 of xln(x)	\int\:_{1}^{4}x\ln(x)dx
integral of sec(x)csc(x)	\int\:\sec(x)\csc(x)dx
integral of x^2-4x	\int\:x^{2}-4xdx
(\partial)/(\partial x)((5y)/(\sqrt[3]{x)})	\frac{\partial\:}{\partial\:x}(\frac{5y}{\sqrt[3]{x}})
tangent of f(x)=2x^2-9x+10,\at x=1	tangent\:f(x)=2x^{2}-9x+10,\at\:x=1
y^'+1/x y= 2/3 x^4y^4	y^{\prime\:}+\frac{1}{x}y=\frac{2}{3}x^{4}y^{4}
derivative of y=x^2+2x+11	derivative\:y=x^{2}+2x+11
(dy)/(dx)=e(3x+2y)	\frac{dy}{dx}=e(3x+2y)
derivative of ln(3x+2x^2)	\frac{d}{dx}(\ln(3x+2x^{2}))
derivative of 7e^xcsc(x)	\frac{d}{dx}(7e^{x}\csc(x))
limit as x approaches 7.6 of 8.6x+1.8	\lim\:_{x\to\:7.6}(8.6x+1.8)
tangent of f(x)=-x^2-4x+4,\at x=-2	tangent\:f(x)=-x^{2}-4x+4,\at\:x=-2
derivative of (1-3x+x^3)/(x^3)	derivative\:\frac{1-3x+x^{3}}{x^{3}}
derivative of sin(xy)	\frac{d}{dx}(\sin(xy))
derivative of (8x-x^2^3)	\frac{d}{dx}((8x-x^{2})^{3})
integral of (1-sin^2(x))	\int\:(1-\sin^{2}(x))dx
derivative of-4.9x^2+37	\frac{d}{dx}(-4.9x^{2}+37)
integral from 0 to pi of sin(mx)e^{nx}	\int\:_{0}^{π}\sin(mx)e^{nx}dx
integral of sin((xpi)/2)	\int\:\sin(\frac{xπ}{2})dx
integral of ((x-1)^3)/(x^2)	\int\:\frac{(x-1)^{3}}{x^{2}}dx

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