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Popular Calculus Problems
slope of (7,5),(-4,-1)
slope\:(7,5),(-4,-1)
integral from 0 to pi/4 of sec^5(x)
\int\:_{0}^{\frac{π}{4}}\sec^{5}(x)dx
derivative of 8(x+4^{3/2})
\frac{d}{dx}(8(x+4)^{\frac{3}{2}})
y^'=e^{x-y},y(0)=2
y^{\prime\:}=e^{x-y},y(0)=2
limit as x approaches 2 of 5x-7
\lim\:_{x\to\:2}(5x-7)
limit as x approaches pi of ln|cos(x)-9|
\lim\:_{x\to\:π}(\ln\left|\cos(x)-9\right|)
integral of 20-0.01x
\int\:20-0.01xdx
partialfraction x/(x-1)
partialfraction\:\frac{x}{x-1}
derivative of x(1-x^2)
\frac{d}{dx}(x(1-x)^{2})
limit as (x,y) approaches (pi, pi/2) of ysin(x-y)
\lim\:_{(x,y)\to\:(π,\frac{π}{2})}(y\sin(x-y))
tangent of f(x)=(x^2-8)^5,\at x=3
tangent\:f(x)=(x^{2}-8)^{5},\at\:x=3
limit as (x,y) approaches (0,0) of y/x
\lim\:_{(x,y)\to\:(0,0)}(\frac{y}{x})
tangent of f(x)=(x^2-48)^4
tangent\:f(x)=(x^{2}-48)^{4}
derivative of 6x^{1/3}
\frac{d}{dx}(6x^{\frac{1}{3}})
integral of 11tan^3(θ)
\int\:11\tan^{3}(θ)dθ
limit as x approaches 2 of (3-sqrt(4x+1))/((x^2-2x))
\lim\:_{x\to\:2}(\frac{3-\sqrt{4x+1}}{(x^{2}-2x)})
y^'=(6x^5y)/(ln(y))
y^{\prime\:}=\frac{6x^{5}y}{\ln(y)}
integral of 3x^2+4x
\int\:3x^{2}+4xdx
limit as t approaches 0 of (e^t-t-1)/t
\lim\:_{t\to\:0}(\frac{e^{t}-t-1}{t})
integral from 0 to 2 of pi(e^{-x^2})^2
\int\:_{0}^{2}π(e^{-x^{2}})^{2}dx
derivative of f(x)=7e^xcos(x)
derivative\:f(x)=7e^{x}\cos(x)
integral of 6cot^4(x)
\int\:6\cot^{4}(x)dx
y^{''}-4y=e^{-2x}-2x,y(0)=0,y^'(0)=0
y^{\prime\:\prime\:}-4y=e^{-2x}-2x,y(0)=0,y^{\prime\:}(0)=0
y^{''}+y= 3/2 sin(x)
y^{\prime\:\prime\:}+y=\frac{3}{2}\sin(x)
integral of x+1sqrt(x)
\int\:x+1\sqrt{x}dx
integral of (sin(2x))/(18+cos^2(x))
\int\:\frac{\sin(2x)}{18+\cos^{2}(x)}dx
y^'+3y+5=0
y^{\prime\:}+3y+5=0
integral of e^{x-3}
\int\:e^{x-3}dx
derivative of sin^4(2xcos^43x)
\frac{d}{dx}(\sin^{4}(2xco)s^{4}3x)
parity f(x)=x^{tan(x)}
parity\:f(x)=x^{\tan(x)}
integral of e^{-y}cos(y)
\int\:e^{-y}\cos(y)dy
integral of sqrt(45+4x-x^2)
\int\:\sqrt{45+4x-x^{2}}dx
y^'=2t
y^{\prime\:}=2t
derivative of f(x)=x+11
derivative\:f(x)=x+11
integral of-4e^{2x}
\int\:-4e^{2x}dx
y=0
y=0
integral of x*sin(2x)
\int\:x\cdot\:\sin(2x)dx
integral of 4\sqrt[3]{x}+3\sqrt[6]{x^5}
\int\:4\sqrt[3]{x}+3\sqrt[6]{x^{5}}dx
sqrt(1-x^2)y^'-sqrt(1-y^2)=0
\sqrt{1-x^{2}}y^{\prime\:}-\sqrt{1-y^{2}}=0
derivative of 1/x+tan(x)
derivative\:\frac{1}{x}+\tan(x)
integral of 1/(-8sqrt(x)-8x)
\int\:\frac{1}{-8\sqrt{x}-8x}dx
tangent of f(x)=x^3-4x,\at x=-2
tangent\:f(x)=x^{3}-4x,\at\:x=-2
integral from 2 to 4 of (2x+5)/(5-x)
\int\:_{2}^{4}\frac{2x+5}{5-x}dx
y^'=xe^{-y}
y^{\prime\:}=xe^{-y}
3y^{''}+5y^'-2y=0
3y^{\prime\:\prime\:}+5y^{\prime\:}-2y=0
limit as x approaches 1 of ln(9x)+e^x
\lim\:_{x\to\:1}(\ln(9x)+e^{x})
integral of (3x-1)^3
\int\:(3x-1)^{3}dx
integral of (4x^2-8x)/((x-1)^2(x^2+1))
\int\:\frac{4x^{2}-8x}{(x-1)^{2}(x^{2}+1)}dx
limit as x approaches 0 of (csc(2x))/x
\lim\:_{x\to\:0}(\frac{\csc(2x)}{x})
(\partial)/(\partial x)((x/y)e^{xy})
\frac{\partial\:}{\partial\:x}((\frac{x}{y})e^{xy})
implicit (dy)/(dx),y=7x^{-4}
implicit\:\frac{dy}{dx},y=7x^{-4}
area 0.4e^{-0.4t},0,4
area\:0.4e^{-0.4t},0,4
derivative of cos(ln(x^4))
\frac{d}{dx}(\cos(\ln(x^{4})))
integral from 0 to 2 of (-2x^2-4)
\int\:_{0}^{2}(-2x^{2}-4)dx
derivative of (2x-1^5)
\frac{d}{dx}((2x-1)^{5})
integral of 1/(tan(x)-sin(x))
\int\:\frac{1}{\tan(x)-\sin(x)}dx
integral of e^{5x+1}
\int\:e^{5x+1}dx
integral of x^2e^{3x^3}
\int\:x^{2}e^{3x^{3}}dx
integral of x/(sqrt(2x-1))
\int\:\frac{x}{\sqrt{2x-1}}dx
derivative of f(x)=1-5x
derivative\:f(x)=1-5x
integral from 0 to 8 of 1/(sqrt(64+t^2))
\int\:_{0}^{8}\frac{1}{\sqrt{64+t^{2}}}dt
integral of (7-x)/(x^2-4x+4)
\int\:\frac{7-x}{x^{2}-4x+4}dx
derivative of cos(wx)
\frac{d}{dx}(\cos(wx))
d/(dt)(\sqrt[4]{(e^{5t})/(t^2+1)})
\frac{d}{dt}(\sqrt[4]{\frac{e^{5t}}{t^{2}+1}})
(y^{''})/y =-3
\frac{y^{\prime\:\prime\:}}{y}=-3
integral of-25sin(-5t)
\int\:-25\sin(-5t)dt
derivative of arccos(e^{6x})
\frac{d}{dx}(\arccos(e^{6x}))
limit as x approaches-2-of x+2
\lim\:_{x\to\:-2-}(x+2)
(dy)/(dx)=x^2e^{-4x}-4y
\frac{dy}{dx}=x^{2}e^{-4x}-4y
limit as x approaches-1 of 2x^3-5x+6x-1
\lim\:_{x\to\:-1}(2x^{3}-5x+6x-1)
integral of 1/(cos^2(θ)sqrt(1+tan(θ)))
\int\:\frac{1}{\cos^{2}(θ)\sqrt{1+\tan(θ)}}dθ
(dx)/(dt)=a-bx
\frac{dx}{dt}=a-bx
derivative of e^{4^x}
\frac{d}{dx}(e^{4^{x}})
sum from n=1 to infinity of 1/((n^2+5n))
\sum\:_{n=1}^{\infty\:}\frac{1}{(n^{2}+5n)}
(\partial)/(\partial x)(yln(y))
\frac{\partial\:}{\partial\:x}(y\ln(y))
integral of sin(8x)cos(6x)
\int\:\sin(8x)\cos(6x)dx
(2ln(x))^'
(2\ln(x))^{\prime\:}
integral of (x+5)^7
\int\:(x+5)^{7}dx
integral from 1 to 2 of xsqrt(x-1)
\int\:_{1}^{2}x\sqrt{x-1}dx
derivative of ax^4
\frac{d}{dx}(ax^{4})
(\partial)/(\partial x)(((5x+4))/(5y+1))
\frac{\partial\:}{\partial\:x}(\frac{(5x+4)}{5y+1})
derivative of 3x-pi
\frac{d}{dx}(3x-π)
limit as x approaches 0 of 2/3 x^{-1/3}
\lim\:_{x\to\:0}(\frac{2}{3}x^{-\frac{1}{3}})
integral of e^t-1
\int\:e^{t}-1dt
integral from-6 to 6 of (e^x-e^{-x})^2
\int\:_{-6}^{6}(e^{x}-e^{-x})^{2}dx
derivative of (cos(t))/(t^7)
derivative\:\frac{\cos(t)}{t^{7}}
(\partial)/(\partial b)((ab)/(2c+15))
\frac{\partial\:}{\partial\:b}(\frac{ab}{2c+15})
limit as x approaches 0 of xe^{2x}
\lim\:_{x\to\:0}(xe^{2x})
area y=3(x^3-x),y=0
area\:y=3(x^{3}-x),y=0
integral from-1 to 2 of (2x-1)(4x+5)
\int\:_{-1}^{2}(2x-1)(4x+5)dx
integral of 1/(a^2sin^2(x)+b^2cos^2(x))
\int\:\frac{1}{a^{2}\sin^{2}(x)+b^{2}\cos^{2}(x)}dx
(\partial)/(\partial x)(1/(sqrt(x^2+a^2)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{x^{2}+a^{2}}})
derivative of (x^2)/(3(1-x))
derivative\:\frac{x^{2}}{3(1-x)}
derivative of (4x-3)^4
derivative\:(4x-3)^{4}
integral of xarctan(7x)
\int\:x\arctan(7x)dx
limit as z approaches 0 of (sin(z))/z
\lim\:_{z\to\:0}(\frac{\sin(z)}{z})
derivative of f(x)= 4/(x^5)
derivative\:f(x)=\frac{4}{x^{5}}
derivative of 11e^{x^2}
derivative\:11e^{x^{2}}
integral of-1(x-4)
\int\:-1(x-4)dx
derivative of (2x^2+7(8x-4))
\frac{d}{dx}((2x^{2}+7)(8x-4))
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