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Popular Calculus Problems
(\partial)/(\partial x)(sin(2x)+cos(3y))
\frac{\partial\:}{\partial\:x}(\sin(2x)+\cos(3y))
taylor e^x(1)
taylor\:e^{x}(1)
(dy)/(dx)=8-2x
\frac{dy}{dx}=8-2x
derivative of e^{x^5}+log_{2}(pi)
\frac{d}{dx}(e^{x^{5}}+\log_{2}(π))
integral of (cos(u))/(sqrt(u))
\int\:\frac{\cos(u)}{\sqrt{u}}du
(\partial)/(\partial x)(xe^{sqrt(19xy)})
\frac{\partial\:}{\partial\:x}(xe^{\sqrt{19xy}})
integral from 0 to 2 of (2x^2-3x+2)
\int\:_{0}^{2}(2x^{2}-3x+2)dx
limit as x approaches c of x^2+x+1
\lim\:_{x\to\:c}(x^{2}+x+1)
y^{''}+y^'+(pi^2+1/4)y=0
y^{\prime\:\prime\:}+y^{\prime\:}+(π^{2}+\frac{1}{4})y=0
tangent of 7-x^2
tangent\:7-x^{2}
derivative of (ln(x))^6
derivative\:(\ln(x))^{6}
limit as x approaches 7 of (|7-x|)/(7-x)
\lim\:_{x\to\:7}(\frac{\left|7-x\right|}{7-x})
integral of (x^3)/(e^{2x)}
\int\:\frac{x^{3}}{e^{2x}}dx
(dx)/(dt)=-1+(x+t-1)^2
\frac{dx}{dt}=-1+(x+t-1)^{2}
integral of (e^{2x})/(1-e^{2x)}
\int\:\frac{e^{2x}}{1-e^{2x}}dx
derivative of arcsin(sec(x))
\frac{d}{dx}(\arcsin(\sec(x)))
integral from 4 to 5 of ((e^y)/3)^2
\int\:_{4}^{5}(\frac{e^{y}}{3})^{2}dy
sum from n=1 to infinity of (n^4)/(2^n)
\sum\:_{n=1}^{\infty\:}\frac{n^{4}}{2^{n}}
integral of (3-2x-x^4)
\int\:(3-2x-x^{4})dx
integral of 10sin(x)2x
\int\:10\sin(x)2xdx
derivative of arcsec(x+arccsc(x))
\frac{d}{dx}(\arcsec(x)+\arccsc(x))
derivative of sqrt(x/(x+3))
derivative\:\sqrt{\frac{x}{x+3}}
y^{''}-y=0,y(0)=1,y^'(0)=2
y^{\prime\:\prime\:}-y=0,y(0)=1,y^{\prime\:}(0)=2
derivative of y=(x^2-7x+2)/(x-2)
derivative\:y=\frac{x^{2}-7x+2}{x-2}
integral of x/((x^2+4)^{3/2)}
\int\:\frac{x}{(x^{2}+4)^{\frac{3}{2}}}dx
area f(x)=x^2+2,[-2,1]
area\:f(x)=x^{2}+2,[-2,1]
(\partial)/(\partial y)(2y-2x)
\frac{\partial\:}{\partial\:y}(2y-2x)
integral of (\sqrt[3]{x^{11}})
\int\:(\sqrt[3]{x^{11}})dx
integral of (x^{3/2}+3)^7sqrt(x)
\int\:(x^{\frac{3}{2}}+3)^{7}\sqrt{x}dx
integral of 7tan^5(x)sec^4(x)
\int\:7\tan^{5}(x)\sec^{4}(x)dx
limit as t approaches 3 of 1-2t
\lim\:_{t\to\:3}(1-2t)
derivative of f(x)=(x+1)/(2x^2+1)
derivative\:f(x)=\frac{x+1}{2x^{2}+1}
integral of (2^x+3^x)^2
\int\:(2^{x}+3^{x})^{2}dx
(dy)/(dt)=6y+te^{6t}
\frac{dy}{dt}=6y+te^{6t}
derivative of x^4-3x^2+5x+2
\frac{d}{dx}(x^{4}-3x^{2}+5x+2)
derivative of f(x)=arccot(x)
derivative\:f(x)=\arccot(x)
limit as x approaches infinity of-3+4/x
\lim\:_{x\to\:\infty\:}(-3+\frac{4}{x})
derivative of sec(x)
\frac{d}{dx}(\sec(x))
y^{''}-4y^'+8y=-28cos(2t)-16sin(2t)
y^{\prime\:\prime\:}-4y^{\prime\:}+8y=-28\cos(2t)-16\sin(2t)
integral of 1/((x^2+x))
\int\:\frac{1}{(x^{2}+x)}dx
limit as x approaches infinity of x^5
\lim\:_{x\to\:\infty\:}(x^{5})
integral of (2x^3+2x)cos(x^2+1)
\int\:(2x^{3}+2x)\cos(x^{2}+1)dx
3yy^'=7x
3yy^{\prime\:}=7x
derivative of 8+sqrt(x-7)
derivative\:8+\sqrt{x-7}
y^{''}-x=0
y^{\prime\:\prime\:}-x=0
limit as x approaches 1 of ln(x^4-3x+10)
\lim\:_{x\to\:1}(\ln(x^{4}-3x+10))
limit as x approaches-3+of (x^2)/(x+3)
\lim\:_{x\to\:-3+}(\frac{x^{2}}{x+3})
integral of arctan(3x)
\int\:\arctan(3x)dx
tangent of f(x)=24e^x,\at x=2
tangent\:f(x)=24e^{x},\at\:x=2
derivative of ln(5x^2+1)
\frac{d}{dx}(\ln(5x^{2}+1))
taylor sin(x), 1/6 pi
taylor\:\sin(x),\frac{1}{6}π
(\partial)/(\partial y)(tan(3x-5y))
\frac{\partial\:}{\partial\:y}(\tan(3x-5y))
simplify 2^{40}
simplify\:2^{40}
(\partial)/(\partial x)(2h(x)c^2)
\frac{\partial\:}{\partial\:x}(2h(x)c^{2})
integral of xe^{-6x}
\int\:xe^{-6x}dx
derivative of 2x^2cos(6x)
\frac{d}{dx}(2x^{2}\cos(6x))
integral of csc(2x)
\int\:\csc(2x)dx
(\partial)/(\partial x)(x^8y)
\frac{\partial\:}{\partial\:x}(x^{8}y)
derivative of (3x-1/(x^2+3))
\frac{d}{dx}(\frac{3x-1}{x^{2}+3})
derivative of 2/(sin^2(2x))
\frac{d}{dx}(\frac{2}{\sin^{2}(2x)})
integral from 1 to infinity of 6e^{-2x}
\int\:_{1}^{\infty\:}6e^{-2x}dx
integral from 0 to 1 of x^2(x+1)^5
\int\:_{0}^{1}x^{2}(x+1)^{5}dx
integral from-32 to 2 of 1/(sqrt(|2x|))
\int\:_{-32}^{2}\frac{1}{\sqrt{\left|2x\right|}}dx
y^'=((y-xy))/(x^2)
y^{\prime\:}=\frac{(y-xy)}{x^{2}}
derivative of ln(3x)
derivative\:\ln(3x)
integral of 4xln(y)
\int\:4x\ln(y)dx
tangent of-3x^3-2x^2-1,\at x=-1
tangent\:-3x^{3}-2x^{2}-1,\at\:x=-1
d/(d{x)}({y}sin({z}(x)))
\frac{d}{d{x}}({y}\sin({z}(x)))
derivative of (3x)^{2x}
derivative\:(3x)^{2x}
integral of x^3sqrt(x^2-36)
\int\:x^{3}\sqrt{x^{2}-36}dx
derivative of y=(6x)/(9-tan(x))
derivative\:y=\frac{6x}{9-\tan(x)}
integral of-x^4e^x
\int\:-x^{4}e^{x}dx
derivative of x{z}(x)
\frac{d}{dx}(x{z}(x))
integral of (x^{1.9}+9x^{3.5})
\int\:(x^{1.9}+9x^{3.5})dx
derivative of x/(x^{-1+4})
\frac{d}{dx}(\frac{x}{x^{-1}+4})
derivative of 1+2e^x
\frac{d}{dx}(1+2e^{x})
taylor f(x)=e^{x^4}
taylor\:f(x)=e^{x^{4}}
(\partial)/(\partial x)(1/(x+y+z))
\frac{\partial\:}{\partial\:x}(\frac{1}{x+y+z})
integral of 1/(x^4sqrt(x^2+4))
\int\:\frac{1}{x^{4}\sqrt{x^{2}+4}}dx
simplify (x-3)^{-2}
simplify\:(x-3)^{-2}
y^'=-y(1+xy^2)
y^{\prime\:}=-y(1+xy^{2})
limit as x approaches 2 of (x^3-2x^2)/(10x-20)
\lim\:_{x\to\:2}(\frac{x^{3}-2x^{2}}{10x-20})
limit as x approaches infinity of i/x
\lim\:_{x\to\:\infty\:}(\frac{i}{x})
limit as x approaches 0+of x+1/x
\lim\:_{x\to\:0+}(x+\frac{1}{x})
integral of (6x)/(1+x^2)
\int\:\frac{6x}{1+x^{2}}dx
tangent of x^2+xy-y^2=-4,(2,4)
tangent\:x^{2}+xy-y^{2}=-4,(2,4)
derivative of (2x-1)^3
derivative\:(2x-1)^{3}
integral of 3+sqrt(x)
\int\:3+\sqrt{x}dx
integral of 1/(x^2)sqrt(1+1/x)
\int\:\frac{1}{x^{2}}\sqrt{1+\frac{1}{x}}dx
integral of (4x^2)/(1+x^3)
\int\:\frac{4x^{2}}{1+x^{3}}dx
integral of 3y\sqrt[3]{2y^2-8}
\int\:3y\sqrt[3]{2y^{2}-8}dy
derivative of e^{2(x-1^2})
\frac{d}{dx}(e^{2(x-1)^{2}})
derivative of f(x)=0.3x^{1.2}
derivative\:f(x)=0.3x^{1.2}
a-by^2=(dy)/(dx)
a-by^{2}=\frac{dy}{dx}
slope of (3.9)(-5.3)
slope\:(3.9)(-5.3)
d/(dt)(-t^2)
\frac{d}{dt}(-t^{2})
integral of 1/((1+x^2)^{5/2)}
\int\:\frac{1}{(1+x^{2})^{\frac{5}{2}}}dx
integral of 1/(7x^2-14x+49)
\int\:\frac{1}{7x^{2}-14x+49}dx
derivative of f(x)=5^{-x}
derivative\:f(x)=5^{-x}
integral of (2x^3)/(2x^4+x^2-1)
\int\:\frac{2x^{3}}{2x^{4}+x^{2}-1}dx
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