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Popular Calculus Problems
tangent of y=(x^2+2)/(x+8),(3,1)
tangent\:y=\frac{x^{2}+2}{x+8},(3,1)
integral of 2e^{3x-5}
\int\:2e^{3x-5}dx
limit as x approaches pi of tan((5x)/3)
\lim\:_{x\to\:π}(\tan(\frac{5x}{3}))
integral of-2+36x-12x^2
\int\:-2+36x-12x^{2}dx
limit as x approaches 81 of x^{3/2}
\lim\:_{x\to\:81}(x^{\frac{3}{2}})
integral of (4x^2)/(x^3+x^2-x-1)
\int\:\frac{4x^{2}}{x^{3}+x^{2}-x-1}dx
derivative of f(x)= 1/(5-2e^x)
derivative\:f(x)=\frac{1}{5-2e^{x}}
integral of (3x^2+4)/(0.3x^3+1.2x)
\int\:\frac{3x^{2}+4}{0.3x^{3}+1.2x}dx
integral of 1/(sqrt(3+2x-x^2))
\int\:\frac{1}{\sqrt{3+2x-x^{2}}}dx
derivative of ln(cot(x))
\frac{d}{dx}(\ln(\cot(x)))
limit as x approaches-5-of x^2+4/(x+5)
\lim\:_{x\to\:-5-}(x^{2}+\frac{4}{x+5})
limit as x approaches 2 of (x^4-9)/(x+2)
\lim\:_{x\to\:2}(\frac{x^{4}-9}{x+2})
derivative of-(10x/((x^2-4)^2))
\frac{d}{dx}(-\frac{10x}{(x^{2}-4)^{2}})
tangent of f(x)= 1/(x+8),\at x=9
tangent\:f(x)=\frac{1}{x+8},\at\:x=9
sum from n=2 to infinity of 1/(n^3)
\sum\:_{n=2}^{\infty\:}\frac{1}{n^{3}}
integral of x/(sqrt(5+4x-x^2))
\int\:\frac{x}{\sqrt{5+4x-x^{2}}}dx
integral from 1 to infinity of x^2
\int\:_{1}^{\infty\:}x^{2}dx
derivative of f(x)=(2x^2+6x+6)/(x+1)
derivative\:f(x)=\frac{2x^{2}+6x+6}{x+1}
(dy)/(dx)=e^{4y}sin(5x)
\frac{dy}{dx}=e^{4y}\sin(5x)
(\partial)/(\partial x)(6x+4y)
\frac{\partial\:}{\partial\:x}(6x+4y)
integral of (x^4)^{1/2}
\int\:(x^{4})^{\frac{1}{2}}dx
limit as h approaches pi/2 of ((1-cos(3h)))/h
\lim\:_{h\to\:\frac{π}{2}}(\frac{(1-\cos(3h))}{h})
integral of (z^3)/(\sqrt[3]{z^2+1)}
\int\:\frac{z^{3}}{\sqrt[3]{z^{2}+1}}dz
integral of xcsc(x^2)
\int\:x\csc(x^{2})dx
y^{''}-3y^'+2y=2e^{3t},y(0)=0,y^'(0)=4
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=2e^{3t},y(0)=0,y^{\prime\:}(0)=4
derivative of x-ln(e^xcos(x))
\frac{d}{dx}(x-\ln(e^{x}\cos(x)))
derivative of 1/(sqrt(2)x)
\frac{d}{dx}(\frac{1}{\sqrt{2}}x)
derivative of f(x)=\sqrt[4]{x^3}
derivative\:f(x)=\sqrt[4]{x^{3}}
derivative of (x^2/(2sqrt(x)+1))
\frac{d}{dx}(\frac{x^{2}}{2\sqrt{x}+1})
d/(dy)(x^2-y^2)
\frac{d}{dy}(x^{2}-y^{2})
sum from n=1 to infinity of n/(n^3+2)
\sum\:_{n=1}^{\infty\:}\frac{n}{n^{3}+2}
sum from n=0 to infinity of 1/(2^{n+2)}
\sum\:_{n=0}^{\infty\:}\frac{1}{2^{n+2}}
integral of (x^2)/((x^2+1)^{3/2)}
\int\:\frac{x^{2}}{(x^{2}+1)^{\frac{3}{2}}}dx
(dy)/(dx)=-2/x
\frac{dy}{dx}=-\frac{2}{x}
integral of x/((x^2+4)^3)
\int\:\frac{x}{(x^{2}+4)^{3}}dx
integral of 3/(x^2sqrt(1+x^2))
\int\:\frac{3}{x^{2}\sqrt{1+x^{2}}}dx
(\partial)/(\partial y)(sqrt(x^2+y^2))
\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+y^{2}})
integral from 0 to 8 of 5/(x^{2/3)}
\int\:_{0}^{8}\frac{5}{x^{\frac{2}{3}}}dx
tangent of y=2x^2+1
tangent\:y=2x^{2}+1
derivative of (cos(3x)^x)
\frac{d}{dx}((\cos(3x))^{x})
integral of x(\sqrt[3]{x}+sqrt(x)+1)
\int\:x(\sqrt[3]{x}+\sqrt{x}+1)dx
derivative of f(x)=sin(x)ln(x^2+1)
derivative\:f(x)=\sin(x)\ln(x^{2}+1)
limit as x approaches pi of 9cot(x)
\lim\:_{x\to\:π}(9\cot(x))
derivative of y=ln(x^6)
derivative\:y=\ln(x^{6})
limit as x approaches 0 of (e^x-x)^{1/x}
\lim\:_{x\to\:0}((e^{x}-x)^{\frac{1}{x}})
integral of (1+sin(x))/(x^3)
\int\:\frac{1+\sin(x)}{x^{3}}dx
integral from 0 to 9 of pi(sqrt(x-1))^2
\int\:_{0}^{9}π(\sqrt{x-1})^{2}dx
tangent of y=7e^xcos(x),(0,7)
tangent\:y=7e^{x}\cos(x),(0,7)
area 4t^3-t^2,t^4+2t^2,1<= t<= 3
area\:4t^{3}-t^{2},t^{4}+2t^{2},1\le\:t\le\:3
integral from 0 to infinity of te^{-3t}
\int\:_{0}^{\infty\:}te^{-3t}dt
limit as x approaches 6 of 8(x-5)(x-7)
\lim\:_{x\to\:6}(8(x-5)(x-7))
(\partial)/(\partial x)(5xy*e^{-x^2y})
\frac{\partial\:}{\partial\:x}(5xy\cdot\:e^{-x^{2}y})
tangent of y=4x-x^2
tangent\:y=4x-x^{2}
integral of (8x^3)/(3y^2)
\int\:\frac{8x^{3}}{3y^{2}}
(\partial)/(\partial x)(e^y+x)
\frac{\partial\:}{\partial\:x}(e^{y}+x)
derivative of (6^{2/3}-x^{2/3}^{3/2})
\frac{d}{dx}((6^{\frac{2}{3}}-x^{\frac{2}{3}})^{\frac{3}{2}})
integral of 1/(x^2+x+5)
\int\:\frac{1}{x^{2}+x+5}dx
integral of e^{3x-2}
\int\:e^{3x-2}dx
(dy)/(dx)-9y^2e^{-1x}=0,y(0)=5
\frac{dy}{dx}-9y^{2}e^{-1x}=0,y(0)=5
tangent of y=x^4,\at x=0
tangent\:y=x^{4},\at\:x=0
inverse oflaplace cos(5t)
inverselaplace\:\cos(5t)
integral of x(1/4 e^{-x/4})
\int\:x(\frac{1}{4}e^{-\frac{x}{4}})dx
area 2x^2,x^2+5
area\:2x^{2},x^{2}+5
y^{''}+6y^'+13=0
y^{\prime\:\prime\:}+6y^{\prime\:}+13=0
integral of 1/16 e^{4x}
\int\:\frac{1}{16}e^{4x}dx
derivative of (x^2/(sin(ax)))
\frac{d}{dx}(\frac{x^{2}}{\sin(ax)})
derivative of (x^2)/((5+x)^4)
derivative\:\frac{x^{2}}{(5+x)^{4}}
limit as x approaches-7 of f(x)
\lim\:_{x\to\:-7}(f(x))
integral of (28)/(4x+xsqrt(x))
\int\:\frac{28}{4x+x\sqrt{x}}dx
limit as x approaches-1/2 of (6x-1)/x
\lim\:_{x\to\:-\frac{1}{2}}(\frac{6x-1}{x})
integral of x^2sqrt(2x-x^2)
\int\:x^{2}\sqrt{2x-x^{2}}dx
tangent of f(x)=x^3-5x^2,\at x=2
tangent\:f(x)=x^{3}-5x^{2},\at\:x=2
(dy)/(dx)=(x^2+xy+y^2)/(x^2)
\frac{dy}{dx}=\frac{x^{2}+xy+y^{2}}{x^{2}}
(\partial)/(\partial z)(-4sqrt(xyz))
\frac{\partial\:}{\partial\:z}(-4\sqrt{xyz})
tangent of sec^2(x)
tangent\:\sec^{2}(x)
limit as x approaches infinity of [8,x]
\lim\:_{x\to\:\infty\:}([8,x])
inverse oflaplace (-75s-25)/(1-3s^2)
inverselaplace\:\frac{-75s-25}{1-3s^{2}}
integral from 0 to 2 of x/((3-x)^2)
\int\:_{0}^{2}\frac{x}{(3-x)^{2}}dx
inverse oflaplace (4s)/(s^2+4)
inverselaplace\:\frac{4s}{s^{2}+4}
y^{''}-3y^'-2y=0
y^{\prime\:\prime\:}-3y^{\prime\:}-2y=0
slope of x^5-x^3
slope\:x^{5}-x^{3}
y^'=(4x)/y
y^{\prime\:}=\frac{4x}{y}
limit as x approaches 1 of (x)(x-1)^{-1}
\lim\:_{x\to\:1}((x)(x-1)^{-1})
integral from 0 to 1 of x^3(1-x)^2
\int\:_{0}^{1}x^{3}(1-x)^{2}dx
integral of cos(sqrt(4x))
\int\:\cos(\sqrt{4x})dx
area y=(2x)/(1+x^2),-4<= x<= 4
area\:y=\frac{2x}{1+x^{2}},-4\le\:x\le\:4
(\partial)/(\partial y)(y/(2sqrt(x)))
\frac{\partial\:}{\partial\:y}(\frac{y}{2\sqrt{x}})
integral from 1 to 2 of (2-x)^{-2/3}
\int\:_{1}^{2}(2-x)^{-\frac{2}{3}}dx
derivative of y=(x^6)/(4-x^5)
derivative\:y=\frac{x^{6}}{4-x^{5}}
derivative of ln(2+x)
\frac{d}{dx}(\ln(2+x))
integral from 0 to 5 of 1/(x^{12/11)}
\int\:_{0}^{5}\frac{1}{x^{\frac{12}{11}}}dx
limit as x approaches 0 of 1+1/(e^x)
\lim\:_{x\to\:0}(1+\frac{1}{e^{x}})
integral of (cos(sqrt(3x)))/(sqrt(x))
\int\:\frac{\cos(\sqrt{3x})}{\sqrt{x}}dx
derivative of f(x)=(x^2+1)/(x^3+1)
derivative\:f(x)=\frac{x^{2}+1}{x^{3}+1}
derivative of f(x)=(x+6)/(x+1)
derivative\:f(x)=\frac{x+6}{x+1}
derivative of 20t-1/2 {g}(t,xt^2)
\frac{d}{dx}(20t-\frac{1}{2}{g}(t,x)t^{2})
derivative of log_{e}(x)
derivative\:\log_{e}(x)
derivative of x^2e^{-x}+(ln(x)^2)
\frac{d}{dx}(x^{2}e^{-x}+(\ln(x))^{2})
integral from 0 to 1/2 of xln(2x)
\int\:_{0}^{\frac{1}{2}}x\ln(2x)dx
derivative of 14x^{1/7}
\frac{d}{dx}(14x^{\frac{1}{7}})
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