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Popular Calculus Problems
(d^2)/(dx^2)(x/(x^2-6))
\frac{d^{2}}{dx^{2}}(\frac{x}{x^{2}-6})
(dy)/(dx)+3y=e^{4x}
\frac{dy}{dx}+3y=e^{4x}
sum from n=0 to infinity of ((n+1)/n)^n
\sum\:_{n=0}^{\infty\:}(\frac{n+1}{n})^{n}
3x^{''}-6x^'+3x=0
3x^{\prime\:\prime\:}-6x^{\prime\:}+3x=0
limit as x approaches 0+of 5/x-5/(|x|)
\lim\:_{x\to\:0+}(\frac{5}{x}-\frac{5}{\left|x\right|})
y^'=(2y^4+x^4)/(xy^3)
y^{\prime\:}=\frac{2y^{4}+x^{4}}{xy^{3}}
(\partial)/(\partial x)(2k^3s^2)
\frac{\partial\:}{\partial\:x}(2k^{3}s^{2})
integral of (-2)/(x^2-1)
\int\:\frac{-2}{x^{2}-1}dx
limit as x approaches 0+of (x^2-15)/x
\lim\:_{x\to\:0+}(\frac{x^{2}-15}{x})
limit as x approaches-0 of 1/(x^2)
\lim\:_{x\to\:-0}(\frac{1}{x^{2}})
derivative of \sqrt[3]{(x^3+1)^2}
derivative\:\sqrt[3]{(x^{3}+1)^{2}}
limit as t approaches 0 of e^{-st}
\lim\:_{t\to\:0}(e^{-st})
integral of sqrt(1+25x^2)
\int\:\sqrt{1+25x^{2}}dx
derivative of x^2sin(6x)
\frac{d}{dx}(x^{2}\sin(6x))
derivative of ln(x^2+x)
\frac{d}{dx}(\ln(x^{2}+x))
derivative of cos(x*sin(x))
\frac{d}{dx}(\cos(x)\cdot\:\sin(x))
y^{''}+9y=xe^{2x}
y^{\prime\:\prime\:}+9y=xe^{2x}
(\partial)/(\partial x)(3/((x^2+z^2)))
\frac{\partial\:}{\partial\:x}(\frac{3}{(x^{2}+z^{2})})
integral of (ln^3(x))/(xsqrt(ln^2(x)-4))
\int\:\frac{\ln^{3}(x)}{x\sqrt{\ln^{2}(x)-4}}dx
integral of (csc^2(x))/(cot(x))
\int\:\frac{\csc^{2}(x)}{\cot(x)}dx
d/(dz)(xe^z)
\frac{d}{dz}(xe^{z})
integral of (x^2+2x-10)^{2/3}(5x+5)
\int\:(x^{2}+2x-10)^{\frac{2}{3}}(5x+5)dx
limit as x approaches+0 of (f(x))/x
\lim\:_{x\to\:+0}(\frac{f(x)}{x})
laplacetransform e^{-2t}-3cos(2t)
laplacetransform\:e^{-2t}-3\cos(2t)
(x^2)/(y^2-3)((dy)/(dx))= 1/(2y)
\frac{x^{2}}{y^{2}-3}(\frac{dy}{dx})=\frac{1}{2y}
y^'=-1
y^{\prime\:}=-1
derivative of ln(sin(7x^2-pi))
\frac{d}{dx}(\ln(\sin(7x^{2}-π)))
derivative of x-x^{2/3}
\frac{d}{dx}(x-x^{\frac{2}{3}})
derivative of-2cos(x)
\frac{d}{dx}(-2\cos(x))
y^'= y/(1-x)+2/(1-x)+3
y^{\prime\:}=\frac{y}{1-x}+\frac{2}{1-x}+3
derivative of sqrt(1+tan(x))
\frac{d}{dx}(\sqrt{1+\tan(x)})
derivative of f(X)=\sqrt[4]{X^3}-1
derivative\:f(X)=\sqrt[4]{X^{3}}-1
derivative of ((qx+r))/(sx+t)
derivative\:\frac{(qx+r)}{sx+t}
integral from 0 to 1 of sqrt(1+(e^x)^2)
\int\:_{0}^{1}\sqrt{1+(e^{x})^{2}}dx
integral of t^n
\int\:t^{n}dt
integral of 1/((3-5x)^4)
\int\:\frac{1}{(3-5x)^{4}}dx
integral of sqrt(12-4x)
\int\:\sqrt{12-4x}dx
derivative of 6x-4
derivative\:6x-4
inverse oflaplace 1/(s(s^2+16))e^{-21s}
inverselaplace\:\frac{1}{s(s^{2}+16)}e^{-21s}
sum from n=0 to infinity of ((-3)/5)^n
\sum\:_{n=0}^{\infty\:}(\frac{-3}{5})^{n}
tangent of x^{1/3}+y^{1/3}=13
tangent\:x^{\frac{1}{3}}+y^{\frac{1}{3}}=13
integral from 1 to 5 of \sqrt[3]{2x-1}
\int\:_{1}^{5}\sqrt[3]{2x-1}dx
integral of (1+e^x)x
\int\:(1+e^{x})xdx
(dy)/(dx)=6x^7y^2-y/x
\frac{dy}{dx}=6x^{7}y^{2}-\frac{y}{x}
limit as x approaches-4+of (|x+4|)/(x+4)
\lim\:_{x\to\:-4+}(\frac{\left|x+4\right|}{x+4})
derivative of y=2e^{kx}
derivative\:y=2e^{kx}
integral of (tan(x)-cot(x))^2
\int\:(\tan(x)-\cot(x))^{2}dx
slope of (x-3)^2+(y-1)^2=0
slope\:(x-3)^{2}+(y-1)^{2}=0
derivative of sin({f}(x))
\frac{d}{dx}(\sin({f}(x)))
integral of e^{2x}sin(pix)
\int\:e^{2x}\sin(πx)dx
derivative of y=arcsin(4x+1)
derivative\:y=\arcsin(4x+1)
area y=2sin(x),0<= x<= pi
area\:y=2\sin(x),0\le\:x\le\:π
limit as x approaches infinity of x^2+8
\lim\:_{x\to\:\infty\:}(x^{2}+8)
area 1/x ,x^2, 1/2 ,2
area\:\frac{1}{x},x^{2},\frac{1}{2},2
(dy)/(dx)=(y-1)^2cos(pix)
\frac{dy}{dx}=(y-1)^{2}\cos(πx)
derivative of arcsin(x-1)
\frac{d}{dx}(\arcsin(x-1))
derivative of f(x)=-5t^3+9t+7
derivative\:f(x)=-5t^{3}+9t+7
(\partial)/(\partial x)(x^3+y^3-2xy)
\frac{\partial\:}{\partial\:x}(x^{3}+y^{3}-2xy)
limit as x approaches 0 of-4
\lim\:_{x\to\:0}(-4)
derivative of g(t)=t^2-4/(t^3)
derivative\:g(t)=t^{2}-\frac{4}{t^{3}}
integral of (5-2^{-1})
\int\:(5-2^{-1})dx
derivative of x+cos(x)
\frac{d}{dx}(x+\cos(x))
(\partial)/(\partial x)(8x^3y^2+6xy^4)
\frac{\partial\:}{\partial\:x}(8x^{3}y^{2}+6xy^{4})
derivative of f(x)=xe^y-5y=2x-6-2e^2
derivative\:f(x)=xe^{y}-5y=2x-6-2e^{2}
derivative of (e^x)/(x^2+1)
derivative\:\frac{e^{x}}{x^{2}+1}
limit as x approaches h of x+h
\lim\:_{x\to\:h}(x+h)
derivative of 6/(x^2+2)
\frac{d}{dx}(\frac{6}{x^{2}+2})
integral from 1 to 7 of x^2
\int\:_{1}^{7}x^{2}dx
integral of arctanh(x)
\int\:\arctanh(x)dx
(dy)/(dx)=(cos(x))/(sin(y))
\frac{dy}{dx}=\frac{\cos(x)}{\sin(y)}
tangent of f(x)= 1/(1+x^2),\at x=-2
tangent\:f(x)=\frac{1}{1+x^{2}},\at\:x=-2
integral of 6(x-7)^2
\int\:6(x-7)^{2}dx
integral of xe^xsin(x)
\int\:xe^{x}\sin(x)dx
derivative of 3/7 \sqrt[5]{x^3}
\frac{d}{dx}(\frac{3}{7}\sqrt[5]{x^{3}})
limit as x approaches 0+of 7sqrt(x)ln(x)
\lim\:_{x\to\:0+}(7\sqrt{x}\ln(x))
limit as x approaches 1 of e^{7x^5-7x}
\lim\:_{x\to\:1}(e^{7x^{5}-7x})
derivative of ((2x/(x+1))^4)
\frac{d}{dx}((\frac{2x}{x+1})^{4})
derivative of ln(ln(9x)+ln(ln(9)))
\frac{d}{dx}(\ln(\ln(9x))+\ln(\ln(9)))
d/(dy)(e^{3y})
\frac{d}{dy}(e^{3y})
integral of (x^2)/(e^{3x)}
\int\:\frac{x^{2}}{e^{3x}}dx
limit as x approaches 0 of 5x+3-2x^2
\lim\:_{x\to\:0}(5x+3-2x^{2})
area x=7y^2,x=4+6y^2
area\:x=7y^{2},x=4+6y^{2}
derivative of a^x+a^a
\frac{d}{dx}(a^{x}+a^{a})
tangent of sqrt(x)+1/(sqrt(x))
tangent\:\sqrt{x}+\frac{1}{\sqrt{x}}
derivative of sqrt(2-((x+1)^2)/2)
derivative\:\sqrt{2-\frac{(x+1)^{2}}{2}}
integral of (5x)/(sqrt(1-25x^4))
\int\:\frac{5x}{\sqrt{1-25x^{4}}}dx
derivative of (-2ln(x+1)/(x^3))
\frac{d}{dx}(\frac{-2\ln(x)+1}{x^{3}})
derivative of e^{6x}+3(ln(2)^2e^{2x}-e^{4x}ln(8)-(ln(2))^3)
\frac{d}{dx}(e^{6x}+3(\ln(2))^{2}e^{2x}-e^{4x}\ln(8)-(\ln(2))^{3})
laplacetransform 3x
laplacetransform\:3x
slope of f(x)=-2x^4+8x^2
slope\:f(x)=-2x^{4}+8x^{2}
limit as x approaches 0 of tan(pix)
\lim\:_{x\to\:0}(\tan(πx))
integral of 1/((9x^2+4)^2)
\int\:\frac{1}{(9x^{2}+4)^{2}}dx
integral of-5/((x+2)^2)
\int\:-\frac{5}{(x+2)^{2}}dx
integral of (x-9)/(x^2+3x-10)
\int\:\frac{x-9}{x^{2}+3x-10}dx
derivative of arcsin((x+1/(sqrt(2))))
\frac{d}{dx}(\arcsin(\frac{x+1}{\sqrt{2}}))
integral from 0 to pi of (8+5sin(x))
\int\:_{0}^{π}(8+5\sin(x))dx
limit as x approaches-infinity of 0-x
\lim\:_{x\to\:-\infty\:}(0-x)
taylor (sqrt(1+x^2))/(3x)
taylor\:\frac{\sqrt{1+x^{2}}}{3x}
integral from 0 to 1 of 3/2 sqrt(x)
\int\:_{0}^{1}\frac{3}{2}\sqrt{x}dx
x^2(dy)/(dx)-xy=4x^3sin(x)
x^{2}\frac{dy}{dx}-xy=4x^{3}\sin(x)
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