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Popular Calculus Problems
derivative of cot(x^2)
\frac{d}{dx}(\cot(x^{2}))
derivative of cos(e^{-θ^2})
derivative\:\cos(e^{-θ^{2}})
integral of (-9)
\int\:(-9)dx
integral from-3 to 3 of x^{-1/3}
\int\:_{-3}^{3}x^{-\frac{1}{3}}dx
integral from-1 to 2 of x+2-x^2
\int\:_{-1}^{2}x+2-x^{2}dx
limit as x approaches pi of (x-pi)csc(x)
\lim\:_{x\to\:π}((x-π)\csc(x))
e^x(ydy)/(dx)=e^{-y}+e^{-2x-y}
e^{x}\frac{ydy}{dx}=e^{-y}+e^{-2x-y}
derivative of f(x)=-1/((x-1)^2)
derivative\:f(x)=-\frac{1}{(x-1)^{2}}
(1-x^2)y^{''}+2xy^'=0
(1-x^{2})y^{\prime\:\prime\:}+2xy^{\prime\:}=0
integral of x/(7x-6)
\int\:\frac{x}{7x-6}dx
derivative of 1-x^4
\frac{d}{dx}(1-x^{4})
6y^{''}+y^'-2y=0
6y^{\prime\:\prime\:}+y^{\prime\:}-2y=0
(d^2)/(dx^2)(e^{-kx^2})
\frac{d^{2}}{dx^{2}}(e^{-kx^{2}})
integral of 2xsqrt(9-x^2)
\int\:2x\sqrt{9-x^{2}}dx
xy^'=y+2x^2y,y(1)=1
xy^{\prime\:}=y+2x^{2}y,y(1)=1
derivative of g(x)=5tan(3x)
derivative\:g(x)=5\tan(3x)
integral of xsin^2(8x)
\int\:x\sin^{2}(8x)dx
derivative of 1/(2x^2-3x-5)
\frac{d}{dx}(\frac{1}{2x^{2}-3x-5})
integral of 3e^xsin(x)
\int\:3e^{x}\sin(x)dx
derivative of 4(t)+|4(t)-1|
derivative\:4(t)+\left|4(t)-1\right|
integral of 1/((x^2-6x+13)^2)
\int\:\frac{1}{(x^{2}-6x+13)^{2}}dx
integral from 0 to 1 of (50)/(4y-1)
\int\:_{0}^{1}\frac{50}{4y-1}dy
laplacetransform {t+e^{2t}}
laplacetransform\:\left\{t+e^{2t}\right\}
x*(y^2-1)=y*(4-x^2)*y^'
x\cdot\:(y^{2}-1)=y\cdot\:(4-x^{2})\cdot\:y^{\prime\:}
(\partial)/(\partial y)(y^2e^{-2x})
\frac{\partial\:}{\partial\:y}(y^{2}e^{-2x})
integral of x^2cos(1-x^3)
\int\:x^{2}\cos(1-x^{3})dx
limit as x approaches 0 of (3^{sin(x)}-1)/(4x)
\lim\:_{x\to\:0}(\frac{3^{\sin(x)}-1}{4x})
25y^{''}+10y=0
25y^{\prime\:\prime\:}+10y=0
derivative of-ln(4x)
\frac{d}{dx}(-\ln(4x))
integral of (-8sec(x)tan(x)-3sec^2(x))
\int\:(-8\sec(x)\tan(x)-3\sec^{2}(x))dx
y^{''}+5y^'-6y=(3x-1)e^x
y^{\prime\:\prime\:}+5y^{\prime\:}-6y=(3x-1)e^{x}
derivative of e^{x^4}
derivative\:e^{x^{4}}
tangent of sqrt(x)+sqrt(y)=sqrt(7)
tangent\:\sqrt{x}+\sqrt{y}=\sqrt{7}
derivative of x^c
\frac{d}{dx}(x^{c})
derivative of 3x^{4/3}-(3x^{2/3}/(32))
\frac{d}{dx}(3x^{\frac{4}{3}}-\frac{3x^{\frac{2}{3}}}{32})
integral of t^2cos^2(t)
\int\:t^{2}\cos^{2}(t)dt
integral of (x+10)/(sqrt(2-x-3x^2))
\int\:\frac{x+10}{\sqrt{2-x-3x^{2}}}dx
derivative of 3x^2-9
\frac{d}{dx}(3x^{2}-9)
sum from n=0 to infinity of (4^n)/(5^n)
\sum\:_{n=0}^{\infty\:}\frac{4^{n}}{5^{n}}
derivative of f(x)=(3x+70)^{50}
derivative\:f(x)=(3x+70)^{50}
6x^{3/2}
6x^{\frac{3}{2}}
y^{''}+6.2832y=0
y^{\prime\:\prime\:}+6.2832y=0
sum from n=0 to infinity of (4/5)^n
\sum\:_{n=0}^{\infty\:}(\frac{4}{5})^{n}
integral of 18te^t
\int\:18te^{t}dt
5x^2y^'=y^'+7xe-y
5x^{2}y^{\prime\:}=y^{\prime\:}+7xe-y
integral of x^2(1-x)^{3/2}
\int\:x^{2}(1-x)^{\frac{3}{2}}dx
ty^'=2y-3t^2cos(4t)
ty^{\prime\:}=2y-3t^{2}\cos(4t)
(\partial)/(\partial x)(1/2 e^{2x})
\frac{\partial\:}{\partial\:x}(\frac{1}{2}e^{2x})
tangent of f(x)=x^{[2]}+1,\at x=3
tangent\:f(x)=x^{[2]}+1,\at\:x=3
integral of 3/(cos^2(3x))
\int\:\frac{3}{\cos^{2}(3x)}dx
sum from n=1 to infinity of (1/11)^n
\sum\:_{n=1}^{\infty\:}(\frac{1}{11})^{n}
integral of x*sin(ax)
\int\:x\cdot\:\sin(ax)dx
sum from n=0 to infinity of (2^n)/(100)
\sum\:_{n=0}^{\infty\:}\frac{2^{n}}{100}
x^2y^{''}+xy^'-y= 1/(x+1)
x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=\frac{1}{x+1}
limit as x approaches 1-of x/(ln(x))
\lim\:_{x\to\:1-}(\frac{x}{\ln(x)})
integral of sin(x^3+1)
\int\:\sin(x^{3}+1)dx
integral of ((x+3))/(2x^3-8x)
\int\:\frac{(x+3)}{2x^{3}-8x}dx
(\partial)/(\partial y)(xe^z)
\frac{\partial\:}{\partial\:y}(xe^{z})
derivative of f(x)=6-6x
derivative\:f(x)=6-6x
derivative of sqrt(r^2-x^2)
\frac{d}{dx}(\sqrt{r^{2}-x^{2}})
sum from n=1 to infinity of 2/(2^n+5)
\sum\:_{n=1}^{\infty\:}\frac{2}{2^{n}+5}
derivative of (0.14x/(0.15+x))
\frac{d}{dx}(\frac{0.14x}{0.15+x})
integral of (6ln(x+7))/(x^2)
\int\:\frac{6\ln(x+7)}{x^{2}}dx
(\partial)/(\partial x)(10^{x^2+x})
\frac{\partial\:}{\partial\:x}(10^{x^{2}+x})
tangent of y= 4/x
tangent\:y=\frac{4}{x}
integral from 2 to 8 of 1/(x^2-1)
\int\:_{2}^{8}\frac{1}{x^{2}-1}dx
derivative of 1/(sqrt(2x+3))
\frac{d}{dx}(\frac{1}{\sqrt{2x+3}})
derivative of x^2*cos(x)
derivative\:x^{2}\cdot\:\cos(x)
derivative of (x^3/3-1/(4x))
\frac{d}{dx}(\frac{x^{3}}{3}-\frac{1}{4x})
derivative of 2/(sqrt(x^2+7))
\frac{d}{dx}(\frac{2}{\sqrt{x^{2}+7}})
derivative of-0.5x
\frac{d}{dx}(-0.5x)
derivative of 5arctan(x)
\frac{d}{dx}(5\arctan(x))
integral from 3 to 6 of x/(x^2+4x+20)
\int\:_{3}^{6}\frac{x}{x^{2}+4x+20}dx
integral of 8x^9-3x^6+12x^3
\int\:8x^{9}-3x^{6}+12x^{3}dx
integral from 1 to 4 of (x^2+sqrt(x))
\int\:_{1}^{4}(x^{2}+\sqrt{x})dx
(\partial)/(\partial x)((x-1)^{2/3}(y-4))
\frac{\partial\:}{\partial\:x}((x-1)^{\frac{2}{3}}(y-4))
d/(dy)(yln(y))
\frac{d}{dy}(y\ln(y))
tangent of f(x)=6e^xcos(x),(0,6)
tangent\:f(x)=6e^{x}\cos(x),(0,6)
(d^2)/(dx^2)(3csc(x))
\frac{d^{2}}{dx^{2}}(3\csc(x))
(\partial)/(\partial x)(cos(x^2+xy))
\frac{\partial\:}{\partial\:x}(\cos(x^{2}+xy))
limit as x approaches 5+of (x^2+2)/(5-x)
\lim\:_{x\to\:5+}(\frac{x^{2}+2}{5-x})
sum from n=3 to infinity of 6/(n^2-1)
\sum\:_{n=3}^{\infty\:}\frac{6}{n^{2}-1}
implicit x^5+y^5=10
implicit\:x^{5}+y^{5}=10
limit as x approaches 0-of 1/(13x)
\lim\:_{x\to\:0-}(\frac{1}{13x})
derivative of f(x)=(4(x^2-1))/((4x^3-2x)^{2/3)}
derivative\:f(x)=\frac{4(x^{2}-1)}{(4x^{3}-2x)^{\frac{2}{3}}}
integral of te^{-t^2}
\int\:te^{-t^{2}}dt
limit as x approaches-pi/9 of 9x^2(5x)
\lim\:_{x\to\:-\frac{π}{9}}(9x^{2}(5x))
derivative of ln(8-t^2)
derivative\:\ln(8-t^{2})
integral of cot^6(x)csc^2(x)
\int\:\cot^{6}(x)\csc^{2}(x)dx
integral of 1/(x^{0.5)}
\int\:\frac{1}{x^{0.5}}dx
derivative of (2x-x^2/(3x^2+1))
\frac{d}{dx}(\frac{2x-x^{2}}{3x^{2}+1})
slope ofintercept (-5)(0.1)
slopeintercept\:(-5)(0.1)
xy^2y^'=y^3-x^3,y(1)=3
xy^{2}y^{\prime\:}=y^{3}-x^{3},y(1)=3
limit as x approaches 32 of (x^2)/4-8/x
\lim\:_{x\to\:32}(\frac{x^{2}}{4}-\frac{8}{x})
((-3cos(2x)-sin(3x)-4)^2)^'
((-3\cos(2x)-\sin(3x)-4)^{2})^{\prime\:}
integral of sqrt(6-x)
\int\:\sqrt{6-x}dx
integral of ((arctan(x)))/((1+x^2))
\int\:\frac{(\arctan(x))}{(1+x^{2})}dx
derivative of f(x)=3x^2-5
derivative\:f(x)=3x^{2}-5
limit as x approaches 4-of f(x)
\lim\:_{x\to\:4-}(f(x))
integral of sqrt(1+4x^2)x
\int\:\sqrt{1+4x^{2}}xdx
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