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Popular Calculus Problems
limit as x approaches 0+of x(1-cos(1/x))
\lim\:_{x\to\:0+}(x(1-\cos(\frac{1}{x})))
integral of 1/(x^2*sqrt(x^2+4))
\int\:\frac{1}{x^{2}\cdot\:\sqrt{x^{2}+4}}dx
(dx)/(dt)-5x=sin(2t),x(0)=pi
\frac{dx}{dt}-5x=\sin(2t),x(0)=π
integral of 4/(x^2-2x)
\int\:\frac{4}{x^{2}-2x}dx
inverse oflaplace s+6
inverselaplace\:s+6
derivative of 1/(4sqrt(x))
\frac{d}{dx}(\frac{1}{4\sqrt{x}})
integral from 1 to 2 of e^{x^2}
\int\:_{1}^{2}e^{x^{2}}dx
limit as x approaches-2 of-x^2+7x-5
\lim\:_{x\to\:-2}(-x^{2}+7x-5)
derivative of ln(13-x^2)
\frac{d}{dx}(\ln(13-x^{2}))
integral of (csc^2(x/2))
\int\:(\csc^{2}(\frac{x}{2}))dx
tangent of y=(t-5)(t^2-3),(2,-3)
tangent\:y=(t-5)(t^{2}-3),(2,-3)
limit as x approaches 0 of x^{18}ln(x)
\lim\:_{x\to\:0}(x^{18}\ln(x))
derivative of (x^3-1^{100})
\frac{d}{dx}((x^{3}-1)^{100})
derivative of 2^xsec(x)
\frac{d}{dx}(2^{x}\sec(x))
(dy)/(dx)+y^9x+2y=0
\frac{dy}{dx}+y^{9}x+2y=0
integral of (x^3-3x^2-x+3)
\int\:(x^{3}-3x^{2}-x+3)dx
y^{''}-5y^'+6y=2et
y^{\prime\:\prime\:}-5y^{\prime\:}+6y=2et
integral from 0 to 1 of x^4e^{3x^5}
\int\:_{0}^{1}x^{4}e^{3x^{5}}dx
derivative of 4/(5+cos(x))
\frac{d}{dx}(\frac{4}{5+\cos(x)})
tangent of f(x)=8(x-1/x)^2,\at x=2
tangent\:f(x)=8(x-\frac{1}{x})^{2},\at\:x=2
derivative of 10^{-3x^2}
\frac{d}{dx}(10^{-3x^{2}})
integral of sqrt(x^2+49)
\int\:\sqrt{x^{2}+49}dx
area y=2sqrt(x),y=(2x)/3
area\:y=2\sqrt{x},y=\frac{2x}{3}
derivative of 2x+y^3=x
\frac{d}{dx}(2x+y)^{3}=x
integral of (sqrt(x+16))/x
\int\:\frac{\sqrt{x+16}}{x}dx
limit as x approaches-3 of-(3x)
\lim\:_{x\to\:-3}(-(3x))
derivative of e^{(3h^2+6)}
derivative\:e^{(3h^{2}+6)}
limit as t approaches 0 of ((e^t-1))/t
\lim\:_{t\to\:0}(\frac{(e^{t}-1)}{t})
derivative of (x+y^2+(x+1)^2)
\frac{d}{dx}((x+y)^{2}+(x+1)^{2})
inverse oflaplace (-20)/(s(s+10))
inverselaplace\:\frac{-20}{s(s+10)}
integral from 1 to 3 of 2/(t^3)
\int\:_{1}^{3}\frac{2}{t^{3}}dt
derivative of y^2+x^2-2
\frac{d}{dx}(y^{2}+x^{2}-2)
integral of sqrt(a-x^2)
\int\:\sqrt{a-x^{2}}dx
sum from n=1 to infinity of 1/(3n-2)
\sum\:_{n=1}^{\infty\:}\frac{1}{3n-2}
derivative of f(x)=6x^{ln(x)}
derivative\:f(x)=6x^{\ln(x)}
derivative of-5/(x^3)
derivative\:-\frac{5}{x^{3}}
derivative of f(x)=sqrt(3x+5)
derivative\:f(x)=\sqrt{3x+5}
integral of cos^2(wt-kx)
\int\:\cos^{2}(wt-kx)dx
integral of 1/(x^2-4)
\int\:\frac{1}{x^{2}-4}dx
limit as x approaches 0+of log_{2}(x)
\lim\:_{x\to\:0+}(\log_{2}(x))
integral of ln(x^2-1)
\int\:\ln(x^{2}-1)dx
(\partial)/(\partial y)(x^2ln(3y-5))
\frac{\partial\:}{\partial\:y}(x^{2}\ln(3y-5))
derivative of (x^2-1)/(x^2+1)
derivative\:\frac{x^{2}-1}{x^{2}+1}
sum from n=2 to infinity of 1/(n^2-1)
\sum\:_{n=2}^{\infty\:}\frac{1}{n^{2}-1}
(\partial)/(\partial z)(ln(x+2y+3z))
\frac{\partial\:}{\partial\:z}(\ln(x+2y+3z))
limit as x approaches 3 of (x^2+x)/(x-3)
\lim\:_{x\to\:3}(\frac{x^{2}+x}{x-3})
integral from 0 to k of 1/2 (e^x-1)
\int\:_{0}^{k}\frac{1}{2}(e^{x}-1)dx
integral of xcsc^2(3x)
\int\:x\csc^{2}(3x)dx
(\partial)/(\partial y)(tan(7+2x^2y^3z^2))
\frac{\partial\:}{\partial\:y}(\tan(7+2x^{2}y^{3}z^{2}))
derivative of cosh(2x)
\frac{d}{dx}(\cosh(2x))
integral of-1/(e^x(8+e^{-x))^2}
\int\:-\frac{1}{e^{x}(8+e^{-x})^{2}}dx
limit as x approaches 0+of 14^x+2
\lim\:_{x\to\:0+}(14^{x}+2)
derivative of e^{sin^2(x)}
derivative\:e^{\sin^{2}(x)}
tangent of f(x)=7-(16)/(sqrt(x)),\at x=4
tangent\:f(x)=7-\frac{16}{\sqrt{x}},\at\:x=4
derivative of y=x^{2^x}
derivative\:y=x^{2^{x}}
(x^5+3y)dx-xdy=0
(x^{5}+3y)dx-xdy=0
integral of (x^3)/(sqrt(49+x^8))
\int\:\frac{x^{3}}{\sqrt{49+x^{8}}}dx
(d^2)/(dx^2)(15e^{x^2})
\frac{d^{2}}{dx^{2}}(15e^{x^{2}})
tangent of 9-x^2
tangent\:9-x^{2}
(\partial)/(\partial x)((2x+6y)^{11})
\frac{\partial\:}{\partial\:x}((2x+6y)^{11})
derivative of (11x)/((2+x^2))
derivative\:\frac{11x}{(2+x^{2})}
limit as x approaches 2 of (x+1)/(x-1)
\lim\:_{x\to\:2}(\frac{x+1}{x-1})
derivative of (x+5x^2^3)
\frac{d}{dx}((x+5x^{2})^{3})
y^'=(y^2)/(x^2)
y^{\prime\:}=\frac{y^{2}}{x^{2}}
derivative of y=arcsin((x+1)/(x-1))
derivative\:y=\arcsin(\frac{x+1}{x-1})
limit as x approaches 0 of (x^3)/(x^2+1)
\lim\:_{x\to\:0}(\frac{x^{3}}{x^{2}+1})
slope of (2.5)(7.3)
slope\:(2.5)(7.3)
derivative of ln(2x+2)
\frac{d}{dx}(\ln(2x+2))
(\partial)/(\partial x)((x^2-1)*x^0)
\frac{\partial\:}{\partial\:x}((x^{2}-1)\cdot\:x^{0})
(\partial)/(\partial x)(3x^2+6y)
\frac{\partial\:}{\partial\:x}(3x^{2}+6y)
derivative of-0.5x^2
\frac{d}{dx}(-0.5x^{2})
derivative of g(x)=x^5+1/(x^5)
derivative\:g(x)=x^{5}+\frac{1}{x^{5}}
limit as x approaches-3+of 1/(x^2-9)
\lim\:_{x\to\:-3+}(\frac{1}{x^{2}-9})
slope of (1,-19),(-2,-7)
slope\:(1,-19),(-2,-7)
integral of (tln(t))^2
\int\:(t\ln(t))^{2}dt
integral of sin(2x+y)
\int\:\sin(2x+y)dx
integral of (xsqrt(x^2+4))/(x^2-1)
\int\:\frac{x\sqrt{x^{2}+4}}{x^{2}-1}dx
derivative of f(x)= x/4
derivative\:f(x)=\frac{x}{4}
integral of (1-x^{-0.52})
\int\:(1-x^{-0.52})dx
(\partial)/(\partial x)(5ln((3xy)/(7z)))
\frac{\partial\:}{\partial\:x}(5\ln(\frac{3xy}{7z}))
integral from 0 to pi/4 of 9sec^2(x)
\int\:_{0}^{\frac{π}{4}}9\sec^{2}(x)dx
xdy+(x-y)dx=0
xdy+(x-y)dx=0
integral of θ
\int\:θdθ
integral from 1 to 4 of x/2+1/(2x)
\int\:_{1}^{4}\frac{x}{2}+\frac{1}{2x}dx
f(x)=e^{x/2}
f(x)=e^{\frac{x}{2}}
integral of 3t^8
\int\:3t^{8}dt
derivative of y=(sqrt(x))/(9+x)
derivative\:y=\frac{\sqrt{x}}{9+x}
limit as x approaches 0 of 0/1
\lim\:_{x\to\:0}(\frac{0}{1})
(-14xy^2+19y)+(-14x^2y+19x)y^'=0
(-14xy^{2}+19y)+(-14x^{2}y+19x)y^{\prime\:}=0
integral from 1 to sqrt(3 of)x4^{(x^2)}
\int\:_{1}^{\sqrt{3}}x4^{(x^{2})}dx
derivative of 6sqrt(t)
derivative\:6\sqrt{t}
limit as x approaches 0 of (2tan(2x))/x
\lim\:_{x\to\:0}(\frac{2\tan(2x)}{x})
sum from n=0 to infinity of (x/n)^n
\sum\:_{n=0}^{\infty\:}(\frac{x}{n})^{n}
limit as x approaches pi-of 1/(sin(x))
\lim\:_{x\to\:π-}(\frac{1}{\sin(x)})
y^'=(1-2t)y^2
y^{\prime\:}=(1-2t)y^{2}
derivative of x^3cos(x^3)
\frac{d}{dx}(x^{3}\cos(x^{3}))
(dy)/(dx)=8x-4xy
\frac{dy}{dx}=8x-4xy
derivative of sqrt(6)x^2
\frac{d}{dx}(\sqrt{6}x^{2})
integral of 9(sec(x))^2
\int\:9(\sec(x))^{2}dx
7y^{''}+27y=0,y(0)=6,y^'(0)=5
7y^{\prime\:\prime\:}+27y=0,y(0)=6,y^{\prime\:}(0)=5
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