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Popular Calculus Problems

(\partial)/(\partial x)(((x+y))/((x-y)^2))	\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{(x-y)^{2}})
limit as h approaches 0 of 3h+18	\lim\:_{h\to\:0}(3h+18)
tangent of f(x)= 1/2 xln(x^2),(-1,0)	tangent\:f(x)=\frac{1}{2}x\ln(x^{2}),(-1,0)
integral of cos(θ)+sin(θ)	\int\:\cos(θ)+\sin(θ)dθ
derivative of (2x/(x^2+9))	\frac{d}{dx}(\frac{2x}{x^{2}+9})
integral from 0 to 1 of xsin((npix)/2)	\int\:_{0}^{1}x\sin(\frac{nπx}{2})dx
limit as x approaches y of x-y	\lim\:_{x\to\:y}(x-y)
limit as x approaches-1 of 2-x	\lim\:_{x\to\:-1}(2-x)
derivative of f(x)=(x-2)(3-2x)(6-x)	derivative\:f(x)=(x-2)(3-2x)(6-x)
integral of sqrt(x^2-4)	\int\:\sqrt{x^{2}-4}dx
integral from 3 to 5 of 3t^{1/2}+4	\int\:_{3}^{5}3t^{\frac{1}{2}}+4dt
derivative of 4x^4-1/(4x^4)	derivative\:4x^{4}-\frac{1}{4x^{4}}
(\partial)/(\partial x)((-9x-7y)/((5x+3y)))	\frac{\partial\:}{\partial\:x}(\frac{-9x-7y}{(5x+3y)})
integral of 1/(sqrt(9x^2-16))	\int\:\frac{1}{\sqrt{9x^{2}-16}}dx
(\partial)/(\partial y)(zarctan(y/x))	\frac{\partial\:}{\partial\:y}(z\arctan(\frac{y}{x}))
derivative of e^{1-3x}	\frac{d}{dx}(e^{1-3x})
integral from 1 to 2 of (e^x)/x	\int\:_{1}^{2}\frac{e^{x}}{x}dx
slope ofintercept (7.2)(2.12)	slopeintercept\:(7.2)(2.12)
area x^3,0,1	area\:x^{3},0,1
integral of 3/(e^{3x)}	\int\:\frac{3}{e^{3x}}dx
integral from 4 to e^3 of 1/x	\int\:_{4}^{e^{3}}\frac{1}{x}dx
(\partial)/(\partial y)(cos(x+4y))	\frac{\partial\:}{\partial\:y}(\cos(x+4y))
integral of e^xsin(x)	\int\:e^{x}\sin(x)dx
derivative of f(x)= 1/27 (9x^2+6)^{3/2}	derivative\:f(x)=\frac{1}{27}(9x^{2}+6)^{\frac{3}{2}}
integral of e^{1/2 x^2}	\int\:e^{\frac{1}{2}x^{2}}dx
limit as x approaches 4-of \|x-4\|	\lim\:_{x\to\:4-}(\left\|x-4\right\|)
y^'=y+x^2e^x+1-1/e	y^{\prime\:}=y+x^{2}e^{x}+1-\frac{1}{e}
(\partial)/(\partial x)(3xy^2+2ycos(x))	\frac{\partial\:}{\partial\:x}(3xy^{2}+2y\cos(x))
integral of 1/(x+xsqrt(x))	\int\:\frac{1}{x+x\sqrt{x}}dx
integral of 8x+1/(sqrt(x))	\int\:8x+\frac{1}{\sqrt{x}}dx
derivative of (x+4/(3x^2e^x))	\frac{d}{dx}(\frac{x+4}{3x^{2}e^{x}})
integral from 0 to 1 of e^{sqrt(x)}	\int\:_{0}^{1}e^{\sqrt{x}}dx
derivative of sqrt(x+a)	\frac{d}{dx}(\sqrt{x+a})
derivative of ln(x-y)	\frac{d}{dx}(\ln(x-y))
derivative of 1/(\sqrt[9]{x})	\frac{d}{dx}(\frac{1}{\sqrt[9]{x}})
(\partial)/(\partial x)((x*y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x\cdot\:y}{x^{2}+y^{2}})
integral of x(sin(x)-cos(x^2))	\int\:x(\sin(x)-\cos(x^{2}))dx
y^{''}+4y=3sin(x)	y^{\prime\:\prime\:}+4y=3\sin(x)
(dV)/(12-2V)=dt,V(0)=1	\frac{dV}{12-2V}=dt,V(0)=1
(\partial)/(\partial x)((x+2y)/(3x+4y))	\frac{\partial\:}{\partial\:x}(\frac{x+2y}{3x+4y})
d/(dθ)(cos(3θ))	\frac{d}{dθ}(\cos(3θ))
derivative of (1+x+x^2)^{99}	derivative\:(1+x+x^{2})^{99}
integral of e^{5x^2+10x+10}(x+1)	\int\:e^{5x^{2}+10x+10}(x+1)dx
derivative of sin(x/8)	\frac{d}{dx}(\sin(\frac{x}{8}))
limit as x approaches 2pi-of e^{1/x}-x	\lim\:_{x\to\:2π-}(e^{\frac{1}{x}}-x)
limit as x approaches-pi/2 of csc(x/2)	\lim\:_{x\to\:-\frac{π}{2}}(\csc(\frac{x}{2}))
derivative of ln(1+2x)	derivative\:\ln(1+2x)
y=x5^{2x}	y=x5^{2x}
integral of (x^3)/(sqrt(16-x^2))	\int\:\frac{x^{3}}{\sqrt{16-x^{2}}}dx
derivative of sqrt(8x)	derivative\:\sqrt{8x}
integral of (x^4-7x^2+5)/(x^4)	\int\:\frac{x^{4}-7x^{2}+5}{x^{4}}dx
integral from 0 to 3 of 1/((x-1)^{2/3)}	\int\:_{0}^{3}\frac{1}{(x-1)^{\frac{2}{3}}}dx
y^'=(t^3+19t^3y)/t	y^{\prime\:}=\frac{t^{3}+19t^{3}y}{t}
(\partial)/(\partial y)(-yz)	\frac{\partial\:}{\partial\:y}(-yz)
limit as x approaches-7 of 1/x	\lim\:_{x\to\:-7}(\frac{1}{x})
limit as x approaches 9 of cos((pix)/3)	\lim\:_{x\to\:9}(\cos(\frac{πx}{3}))
tangent of y=x^2-2x	tangent\:y=x^{2}-2x
integral of x^3sqrt(1+x^4)	\int\:x^{3}\sqrt{1+x^{4}}dx
tangent of f(x)= 1/(x-1),\at x=4	tangent\:f(x)=\frac{1}{x-1},\at\:x=4
integral of 4xsin(2x^2)	\int\:4x\sin(2x^{2})dx
(\partial)/(\partial x)(x^6+8xy^5)	\frac{\partial\:}{\partial\:x}(x^{6}+8xy^{5})
(\partial)/(\partial x)(3x+4y)	\frac{\partial\:}{\partial\:x}(3x+4y)
laplacetransform (25t)((t^2)/(25))	laplacetransform\:(25t)(\frac{t^{2}}{25})
derivative of y=(x^2+sin(x))^3	derivative\:y=(x^{2}+\sin(x))^{3}
tangent of f(x)=\sqrt[4]{x}-x,(1,0)	tangent\:f(x)=\sqrt[4]{x}-x,(1,0)
integral of (0.8x+1/(60^2))^{-1/2}	\int\:(0.8x+\frac{1}{60^{2}})^{-\frac{1}{2}}dx
integral from-1 to 3 of 1/5 x^3	\int\:_{-1}^{3}\frac{1}{5}x^{3}dx
tangent of f(x)=3arcsin(x),\at x= 1/2	tangent\:f(x)=3\arcsin(x),\at\:x=\frac{1}{2}
derivative of acsc(2(kx))	\frac{d}{dx}(a\csc(2)(kx))
integral of 5sec^4(x)	\int\:5\sec^{4}(x)dx
derivative of re^{rx}	\frac{d}{dx}(re^{rx})
derivative of 4(5-7x^5)	\frac{d}{dx}(4(5-7x)^{5})
derivative of f(x)= 3/((x+1)^2)	derivative\:f(x)=\frac{3}{(x+1)^{2}}
maclaurin e^{-5x^4}	maclaurin\:e^{-5x^{4}}
derivative of 2^{arcsech(x})	\frac{d}{dx}(2^{\arcsech(x)})
integral of x/(x^4+3)	\int\:\frac{x}{x^{4}+3}dx
inverse oflaplace (12s+8)/((s-1)^5)	inverselaplace\:\frac{12s+8}{(s-1)^{5}}
derivative of 3/(x^3)-1/(x^4)	derivative\:\frac{3}{x^{3}}-\frac{1}{x^{4}}
slope of (26 2/3 ,9),(5,2.5)	slope\:(26\frac{2}{3},9),(5,2.5)
limit as x approaches 0 of x^2cos(x)	\lim\:_{x\to\:0}(x^{2}\cos(x))
tangent of f(x)= 5/x ,\at x=5	tangent\:f(x)=\frac{5}{x},\at\:x=5
integral of (3x)/(x+1)	\int\:\frac{3x}{x+1}dx
integral of 64cos^4(8x)	\int\:64\cos^{4}(8x)dx
integral of 4e^{2t}	\int\:4e^{2t}dt
10y^{''}+60y^'+50y=0	10y^{\prime\:\prime\:}+60y^{\prime\:}+50y=0
derivative of e^{(-x/3})	\frac{d}{dx}(e^{\frac{-x}{3}})
integral of e^{2θ}cos(3θ)	\int\:e^{2θ}\cos(3θ)dθ
derivative of y=2x^2-12x+6	derivative\:y=2x^{2}-12x+6
integral of 1/(x-x^2)	\int\:\frac{1}{x-x^{2}}dx
derivative of pi*x^2	\frac{d}{dx}(π\cdot\:x^{2})
derivative of y=((3x^5+9))/(x^3)	derivative\:y=\frac{(3x^{5}+9)}{x^{3}}
d/(ds)(ln(s^2+9))	\frac{d}{ds}(\ln(s^{2}+9))
derivative of 4t^{-1/8}	derivative\:4t^{-\frac{1}{8}}
derivative of r(x)= 3/(x^4+2)	derivative\:r(x)=\frac{3}{x^{4}+2}
f(x)= 6/(x^3)	f(x)=\frac{6}{x^{3}}
derivative of sin(e^{3x})	\frac{d}{dx}(\sin(e^{3x}))
integral of 2/(\sqrt[3]{3x)}	\int\:\frac{2}{\sqrt[3]{3x}}dx
derivative of 1/(3^x)	derivative\:\frac{1}{3^{x}}
derivative of f(x)=(x^2-1)/(2x+2)	derivative\:f(x)=\frac{x^{2}-1}{2x+2}
derivative of f(x)=4x^4-5x^3+2x-3	derivative\:f(x)=4x^{4}-5x^{3}+2x-3

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