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Popular Calculus Problems
taylor 1/(e^x)
taylor\:\frac{1}{e^{x}}
derivative of 5x^5
\frac{d}{dx}(5x^{5})
limit as x approaches 0 of cot(x)-csc(x)
\lim\:_{x\to\:0}(\cot(x)-\csc(x))
derivative of f(x)= 1/(x-5)
derivative\:f(x)=\frac{1}{x-5}
(\partial)/(\partial x)((xy+1)^2)
\frac{\partial\:}{\partial\:x}((xy+1)^{2})
derivative of e^{cot(x^2})
\frac{d}{dx}(e^{\cot(x^{2})})
(dy)/(dx)=(4xy)/(2+x^2)
\frac{dy}{dx}=\frac{4xy}{2+x^{2}}
maclaurin (1+x)^{-4/5}
maclaurin\:(1+x)^{-\frac{4}{5}}
(\partial)/(\partial y)(e^{-y/x})
\frac{\partial\:}{\partial\:y}(e^{-\frac{y}{x}})
(\partial)/(\partial y)(x^{-2}y^{-3})
\frac{\partial\:}{\partial\:y}(x^{-2}y^{-3})
derivative of 1/2 xsqrt(25-x^2)
derivative\:\frac{1}{2}x\sqrt{25-x^{2}}
integral of ((3x^3-4x-2)/(x^3))
\int\:(\frac{3x^{3}-4x-2}{x^{3}})dx
tangent of f(x)=(6x)/(x^2+1),(1,3)
tangent\:f(x)=\frac{6x}{x^{2}+1},(1,3)
(\partial)/(\partial y)((xy^2)/(z^3))
\frac{\partial\:}{\partial\:y}(\frac{xy^{2}}{z^{3}})
derivative of (e^{2x}/(x^2+1))
\frac{d}{dx}(\frac{e^{2x}}{x^{2}+1})
integral from 0 to 1 of e^x-xe^x
\int\:_{0}^{1}e^{x}-xe^{x}dx
integral from x to 0.5 of 8
\int\:_{x}^{0.5}8dy
derivative of x/((x-1^2))
\frac{d}{dx}(\frac{x}{(x-1)^{2}})
taylor sqrt(1+x),0
taylor\:\sqrt{1+x},0
limit as x approaches 1 of e^{6x^2-6x}
\lim\:_{x\to\:1}(e^{6x^{2}-6x})
derivative of (120x^2)/(x^2+4)
derivative\:\frac{120x^{2}}{x^{2}+4}
integral of \sqrt[6]{2}+\sqrt[6]{x}
\int\:\sqrt[6]{2}+\sqrt[6]{x}dx
integral of (6x^2)/((36+x^2)^2)
\int\:\frac{6x^{2}}{(36+x^{2})^{2}}dx
y^{''}-y=9e^{5t}+6te^{5t}+3t^2e^{5t}
y^{\prime\:\prime\:}-y=9e^{5t}+6te^{5t}+3t^{2}e^{5t}
limit as x approaches 0 of \sqrt[3]{3x}
\lim\:_{x\to\:0}(\sqrt[3]{3x})
limit as x approaches 2+of (x-2)^{(x-2)}
\lim\:_{x\to\:2+}((x-2)^{(x-2)})
y^{''}+6y^'+9y=0.5e^{-3t} 1/(t^2+1)
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=0.5e^{-3t}\frac{1}{t^{2}+1}
derivative of x^2+2/x
\frac{d}{dx}(x^{2}+\frac{2}{x})
integral of (3-e^x)/(e^{5x)}
\int\:\frac{3-e^{x}}{e^{5x}}dx
integral of 3-4/(2x+1)
\int\:3-\frac{4}{2x+1}dx
f(x)=3x^5-4x^4+9x-6
f(x)=3x^{5}-4x^{4}+9x-6
integral from 0 to 1 of 2pi(8-x)(x^2)
\int\:_{0}^{1}2π(8-x)(x^{2})dx
integral from-2 to 2 of 2-x^2
\int\:_{-2}^{2}2-x^{2}dx
tangent of (x^2+1)^{x+1}
tangent\:(x^{2}+1)^{x+1}
derivative of x^3+4x-15
\frac{d}{dx}(x^{3}+4x-15)
derivative of (x^2-\sqrt[9]{x})7^x
derivative\:(x^{2}-\sqrt[9]{x})7^{x}
derivative of f(x)=(3x-2)^5(x+1)^3
derivative\:f(x)=(3x-2)^{5}(x+1)^{3}
y-2y^'+y=0
y-2y^{\prime\:}+y=0
derivative of x^{4cos(x})
\frac{d}{dx}(x^{4\cos(x)})
sum from k=4 to infinity of 3(-1/2)^k
\sum\:_{k=4}^{\infty\:}3(-\frac{1}{2})^{k}
integral of e^{2x}sin(5x)
\int\:e^{2x}\sin(5x)dx
derivative of y=55cos(0.071x+0.39)+63
derivative\:y=55\cos(0.071x+0.39)+63
integral of (e^{3x}+2e^x)/(e^{3x)+1}
\int\:\frac{e^{3x}+2e^{x}}{e^{3x}+1}dx
(\partial)/(\partial x)(5ye^{4x})
\frac{\partial\:}{\partial\:x}(5ye^{4x})
slope ofintercept (-2,3),(2,-2)
slopeintercept\:(-2,3),(2,-2)
(dv)/(dt)=v^2+5v+2
\frac{dv}{dt}=v^{2}+5v+2
derivative of 4/3 x^3+1/2 x-4
\frac{d}{dx}(\frac{4}{3}x^{3}+\frac{1}{2}x-4)
integral of (6e^{6t})/(9+e^{6t)}
\int\:\frac{6e^{6t}}{9+e^{6t}}dt
(dy}{dx}=\frac{(y+sqrt(x^2+y^2)))/x
\frac{dy}{dx}=\frac{(y+\sqrt{x^{2}+y^{2}})}{x}
derivative of (x-2)/(2(x-1)^{3/2)}
derivative\:\frac{x-2}{2(x-1)^{\frac{3}{2}}}
sum from n=1 to infinity of (2n+1)^{-5}
\sum\:_{n=1}^{\infty\:}(2n+1)^{-5}
(\partial)/(\partial x)(ln(1-x^2))
\frac{\partial\:}{\partial\:x}(\ln(1-x^{2}))
limit as x approaches 4-of 2/(x^2-16)
\lim\:_{x\to\:4-}(\frac{2}{x^{2}-16})
maclaurin 3/(1+x-2x^2)
maclaurin\:\frac{3}{1+x-2x^{2}}
integral of cos((piy)/2)
\int\:\cos(\frac{πy}{2})dy
derivative of asin(3x+bcos(3x))
\frac{d}{dx}(a\sin(3x)+b\cos(3x))
maclaurin e^{-4x}
maclaurin\:e^{-4x}
integral of sqrt(5-4x-x^2)
\int\:\sqrt{5-4x-x^{2}}dx
integral from 0 to a of sqrt(a^2-x^2)
\int\:_{0}^{a}\sqrt{a^{2}-x^{2}}dx
(\partial)/(\partial x)(e^{2x^2})
\frac{\partial\:}{\partial\:x}(e^{2x^{2}})
derivative of f(x)=sqrt(3x)
derivative\:f(x)=\sqrt{3x}
derivative of x^2-5x-1
derivative\:x^{2}-5x-1
derivative of 3xcos(3x)
\frac{d}{dx}(3x\cos(3x))
(t^2+1)dt+(x^2+x)dx=0
(t^{2}+1)dt+(x^{2}+x)dx=0
derivative of f(x)=-5cot(x)+3sec(x)
derivative\:f(x)=-5\cot(x)+3\sec(x)
(sin(ln(x)))^'
(\sin(\ln(x)))^{\prime\:}
limit as x approaches-1 of x^2
\lim\:_{x\to\:-1}(x^{2})
integral of 2x^2-1
\int\:2x^{2}-1dx
derivative of f(x)=ax^3+bx^2+cx+d
derivative\:f(x)=ax^{3}+bx^{2}+cx+d
integral of (9x+cos(x))
\int\:(9x+\cos(x))dx
limit as x approaches-4 of x-4
\lim\:_{x\to\:-4}(x-4)
derivative of In(x+sqrt(x^2+1))
\frac{d}{dx}(In(x+\sqrt{x^{2}+1}))
derivative of 3x^2-7x^3+x^4-5-3x
derivative\:3x^{2}-7x^{3}+x^{4}-5-3x
slope of (1.2)(0.8)
slope\:(1.2)(0.8)
y^'=((t^2+3y^2))/(2ty)
y^{\prime\:}=\frac{(t^{2}+3y^{2})}{2ty}
sum from n=0 to infinity of (-7/10)^n
\sum\:_{n=0}^{\infty\:}(-\frac{7}{10})^{n}
area 2y=4x-x^2,2y=x-4
area\:2y=4x-x^{2},2y=x-4
derivative of f(x)=x^2+4x-3
derivative\:f(x)=x^{2}+4x-3
integral of (cos^2(θ))
\int\:(\cos^{2}(θ))dθ
derivative of 2x-1
derivative\:2x-1
derivative of f(x)=3x^2-2x+3
derivative\:f(x)=3x^{2}-2x+3
implicit (d^2y)/(dx^2),x^2+y^2=20
implicit\:\frac{d^{2}y}{dx^{2}},x^{2}+y^{2}=20
integral from a to infinity of 1/(x^2)
\int\:_{a}^{\infty\:}\frac{1}{x^{2}}dx
integral of x(18x+6)
\int\:x(18x+6)dx
integral of 1/12 (1/3 e^x)
\int\:\frac{1}{12}(\frac{1}{3}e^{x})dx
integral from 0 to infinity of ye^{-3y}
\int\:_{0}^{\infty\:}ye^{-3y}dy
derivative of (x^2-1/(x^3+1))
\frac{d}{dx}(\frac{x^{2}-1}{x^{3}+1})
integral of cos(mpix)
\int\:\cos(mπx)dx
derivative of f(x)=20x^{1/2}-1/2 x^{20}
derivative\:f(x)=20x^{\frac{1}{2}}-\frac{1}{2}x^{20}
laplacetransform 12t^3-t^2
laplacetransform\:12t^{3}-t^{2}
derivative of 2x-4/(sqrt(x))
\frac{d}{dx}(2x-\frac{4}{\sqrt{x}})
integral of (2x^3-4x^2-9x-1)/(x^2-2x-5)
\int\:\frac{2x^{3}-4x^{2}-9x-1}{x^{2}-2x-5}dx
integral of (x^2)/(sqrt(81+x^2))
\int\:\frac{x^{2}}{\sqrt{81+x^{2}}}dx
integral from 0 to 1 of sin(pi*x)
\int\:_{0}^{1}\sin(π\cdot\:x)dx
limit as x approaches 3 of (x^2-2)/(x-3)
\lim\:_{x\to\:3}(\frac{x^{2}-2}{x-3})
5x(x+6y)y^'=5y(x-6y)
5x(x+6y)y^{\prime\:}=5y(x-6y)
laplacetransform 10e^{2t}
laplacetransform\:10e^{2t}
tangent of-18x^2+9x+30
tangent\:-18x^{2}+9x+30
limit as x approaches 0-of x^{2/3}
\lim\:_{x\to\:0-}(x^{\frac{2}{3}})
y^'=e^{(-x/2)}
y^{\prime\:}=e^{(-\frac{x}{2})}
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