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Popular Calculus Problems
area x=2+sqrt(y+3),x=2-sqrt(y+3),x=y-1
area\:x=2+\sqrt{y+3},x=2-\sqrt{y+3},x=y-1
derivative of (-3x^5+1^3)
\frac{d}{dx}((-3x^{5}+1)^{3})
integral of x/((sin(x^2))^2)
\int\:\frac{x}{(\sin(x^{2}))^{2}}dx
(\partial)/(\partial x)(y+xcos(t))
\frac{\partial\:}{\partial\:x}(y+x\cos(t))
(\partial)/(\partial x)(tan(2x+y))
\frac{\partial\:}{\partial\:x}(\tan(2x+y))
derivative of y=(sqrt(x)-6)/(sqrt(x)+6)
derivative\:y=\frac{\sqrt{x}-6}{\sqrt{x}+6}
derivative of 8/(x^5)
\frac{d}{dx}(\frac{8}{x^{5}})
slope of (0,1),(5,-2)
slope\:(0,1),(5,-2)
integral of sqrt((8-x)/(8+x))
\int\:\sqrt{\frac{8-x}{8+x}}dx
derivative of 4x+6/(7x)
derivative\:4x+\frac{6}{7x}
limit as t approaches 0 of 1/(t+1)
\lim\:_{t\to\:0}(\frac{1}{t+1})
integral of (x^3+3x)/(x^2+1)
\int\:\frac{x^{3}+3x}{x^{2}+1}dx
integral of ((ln(x^6)))/x
\int\:\frac{(\ln(x^{6}))}{x}dx
derivative of f(x)=(2-3x^3)^{-2}
derivative\:f(x)=(2-3x^{3})^{-2}
integral from 0 to pi of 9sin^4(3t)
\int\:_{0}^{π}9\sin^{4}(3t)dt
tangent of 6-2e^x
tangent\:6-2e^{x}
limit as x approaches 0 of 2cos(pi/x)
\lim\:_{x\to\:0}(2\cos(\frac{π}{x}))
integral from 1 to infinity of 1/(x^5)
\int\:_{1}^{\infty\:}\frac{1}{x^{5}}dx
integral of (ln(8x))/x
\int\:\frac{\ln(8x)}{x}dx
derivative of 1/((1+x^2sqrt(1+x^2)))
\frac{d}{dx}(\frac{1}{(1+x^{2})\sqrt{1+x^{2}}})
derivative of sin(x+4/9 cot(x))
\frac{d}{dx}(\sin(x)+\frac{4}{9}\cot(x))
limit as x approaches 1 of F(x)
\lim\:_{x\to\:1}(F(x))
integral of \sqrt[3]{(csc(x))^2cot^3(x)}
\int\:\sqrt[3]{(\csc(x))^{2}\cot^{3}(x)}dx
integral of 2cos(4x)e^{sin(4x)}
\int\:2\cos(4x)e^{\sin(4x)}dx
derivative of 2nd
derivative\:2nd
tangent of f(x)=(1+2x)/(3+x),\at x=2
tangent\:f(x)=\frac{1+2x}{3+x},\at\:x=2
(\partial)/(\partial x)(5sqrt(2x)+2y)
\frac{\partial\:}{\partial\:x}(5\sqrt{2x}+2y)
(dy)/(dx)=(5-x)^{63}
\frac{dy}{dx}=(5-x)^{63}
tangent of y=3x^3-x^2+4,(2,24)
tangent\:y=3x^{3}-x^{2}+4,(2,24)
limit as h approaches+0 of (8^h-1)/h
\lim\:_{h\to\:+0}(\frac{8^{h}-1}{h})
derivative of (x^2e^x)/(x^2+e^x)
derivative\:\frac{x^{2}e^{x}}{x^{2}+e^{x}}
y^{''}+25y=0
y^{\prime\:\prime\:}+25y=0
derivative of sqrt(x)sec(1/(sqrt(x)))
\frac{d}{dx}(\sqrt{x}\sec(\frac{1}{\sqrt{x}}))
integral of (x^3)/(sqrt(4x^2+16))
\int\:\frac{x^{3}}{\sqrt{4x^{2}+16}}dx
integral of (e^{-3x})/(1-e^{-3x)}
\int\:\frac{e^{-3x}}{1-e^{-3x}}dx
inverse oflaplace 9
inverselaplace\:9
limit as x approaches infinity of 3/0
\lim\:_{x\to\:\infty\:}(\frac{3}{0})
y^'-xy=1
y^{\prime\:}-xy=1
limit as x approaches 9 of sqrt(x)-1
\lim\:_{x\to\:9}(\sqrt{x}-1)
area x^2-2,6-x^2
area\:x^{2}-2,6-x^{2}
(dx)/(dt)=2+sqrt(x-2t+3)
\frac{dx}{dt}=2+\sqrt{x-2t+3}
derivative of e^{0.2}
\frac{d}{dx}(e^{0.2})
(\partial)/(\partial t)(e^{rt})
\frac{\partial\:}{\partial\:t}(e^{rt})
(dy)/(dx)=((4sec(y)))/((x+5)^2)
\frac{dy}{dx}=\frac{(4\sec(y))}{(x+5)^{2}}
limit as x approaches 4 of 5/(4-x)
\lim\:_{x\to\:4}(\frac{5}{4-x})
integral of e^{1/t}
\int\:e^{\frac{1}{t}}dt
derivative of (x^2+3x-2^4)
\frac{d}{dx}((x^{2}+3x-2)^{4})
limit as x approaches 0 of (tan(6x))/(sin(5x))
\lim\:_{x\to\:0}(\frac{\tan(6x)}{\sin(5x)})
(\partial)/(\partial x)(x^2+16xw+64w^2)
\frac{\partial\:}{\partial\:x}(x^{2}+16xw+64w^{2})
limit as x approaches 3-of (2x+1)/(x-3)
\lim\:_{x\to\:3-}(\frac{2x+1}{x-3})
limit as x approaches 0-of 4/(5x^{1/3)}
\lim\:_{x\to\:0-}(\frac{4}{5x^{\frac{1}{3}}})
integral of 5/2
\int\:\frac{5}{2}dx
integral from 1 to infinity of 12e^{-4x}
\int\:_{1}^{\infty\:}12e^{-4x}dx
derivative of ((t^3)/(t^8+7))^2
derivative\:(\frac{t^{3}}{t^{8}+7})^{2}
integral of (x+1)ln(2x+4)
\int\:(x+1)\ln(2x+4)dx
derivative of (1/(x^2-3/(x^4))(x+7x^3))
\frac{d}{dx}((\frac{1}{x^{2}}-\frac{3}{x^{4}})(x+7x^{3}))
(dy)/(dx)=x(9-y)
\frac{dy}{dx}=x(9-y)
derivative of (1+sqrt(3x)/(1-sqrt(3x)))
\frac{d}{dx}(\frac{1+\sqrt{3x}}{1-\sqrt{3x}})
limit as x approaches infinity of 9
\lim\:_{x\to\:\infty\:}(9)
derivative of-3cos(x)+2sin(x)
derivative\:-3\cos(x)+2\sin(x)
derivative of-2sin(xcos(x))
\frac{d}{dx}(-2\sin(x)\cos(x))
sum from n=0 to infinity of n*x^n
\sum\:_{n=0}^{\infty\:}n\cdot\:x^{n}
derivative of y=sqrt(2x+1)
derivative\:y=\sqrt{2x+1}
integral of-2x^{-2}
\int\:-2x^{-2}dx
d/(dθ)(sin^3(θ))
\frac{d}{dθ}(\sin^{3}(θ))
derivative of 10(1-e^{x/2})
\frac{d}{dx}(10(1-e^{\frac{x}{2}}))
derivative of (x^3-2/((x-1)^2))
\frac{d}{dx}(\frac{x^{3}-2}{(x-1)^{2}})
integral of 1/(xsqrt(ln(x)))
\int\:\frac{1}{x\sqrt{\ln(x)}}dx
derivative of xy^'
\frac{d}{dx}(xy^{\prime\:})
tangent of y=x^4+7x^2-x,(1,7)
tangent\:y=x^{4}+7x^{2}-x,(1,7)
integral from 0 to 2 of 2sec((pix)/6)
\int\:_{0}^{2}2\sec(\frac{πx}{6})dx
taylor 2^x,1
taylor\:2^{x},1
integral of 1/(θ^2)sin(1/θ)cos(1/θ)
\int\:\frac{1}{θ^{2}}\sin(\frac{1}{θ})\cos(\frac{1}{θ})dθ
d/(dt)(e^{5t})
\frac{d}{dt}(e^{5t})
derivative of y=e^{9x}
derivative\:y=e^{9x}
d/(dt)(e^tcos(2t))
\frac{d}{dt}(e^{t}\cos(2t))
derivative of x^2ln(x^2)
derivative\:x^{2}\ln(x^{2})
limit as x approaches 0 of \sqrt[2x]{a}
\lim\:_{x\to\:0}(\sqrt[2x]{a})
derivative of y=(5x+4)^3
derivative\:y=(5x+4)^{3}
1-y^'=cos(y)
1-y^{\prime\:}=\cos(y)
integral from 2 to 3 of 3/(sqrt(3-x))
\int\:_{2}^{3}\frac{3}{\sqrt{3-x}}dx
area x=0,y=-1+(x^2)/4 ,y=2+x/4
area\:x=0,y=-1+\frac{x^{2}}{4},y=2+\frac{x}{4}
(\partial)/(\partial x)(-45xy-5x^2y-5xy^2)
\frac{\partial\:}{\partial\:x}(-45xy-5x^{2}y-5xy^{2})
derivative of sqrt(-x^2+12x-32)
derivative\:\sqrt{-x^{2}+12x-32}
limit as x approaches-2 of |x-2|
\lim\:_{x\to\:-2}(\left|x-2\right|)
integral of (4)
\int\:(4)dx
derivative of ((x^2-4^{3/2})/6)
\frac{d}{dx}(\frac{(x^{2}-4)^{\frac{3}{2}}}{6})
sum from n=0 to infinity of pi
\sum\:_{n=0}^{\infty\:}π
limit as x approaches infinity of 1-5/x
\lim\:_{x\to\:\infty\:}(1-\frac{5}{x})
limit as x approaches 3 of 5x
\lim\:_{x\to\:3}(5x)
sum from n=0 to infinity of (-1)^nn
\sum\:_{n=0}^{\infty\:}(-1)^{n}n
integral of 1/((1-6x)^{7/2)}
\int\:\frac{1}{(1-6x)^{\frac{7}{2}}}dx
limit as x approaches 0+of cos(1/x)
\lim\:_{x\to\:0+}(\cos(\frac{1}{x}))
limit as x approaches 2+of x/(x-2)
\lim\:_{x\to\:2+}(\frac{x}{x-2})
derivative of x^2-4x+24
derivative\:x^{2}-4x+24
integral of-(4x+10)/(f^2(x)*x^3)
\int\:-\frac{4x+10}{f^{2}(x)\cdot\:x^{3}}
integral of sin(7x)sin(12x)
\int\:\sin(7x)\sin(12x)dx
derivative of (x^3/(24)+2/x)
\frac{d}{dx}(\frac{x^{3}}{24}+\frac{2}{x})
derivative of cos(xy-3y^4+3)
\frac{d}{dx}(\cos(xy)-3y^{4}+3)
(\partial)/(\partial x)(A/(x+sqrt(5)x))
\frac{\partial\:}{\partial\:x}(\frac{A}{x+\sqrt{5}x})
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