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Popular Calculus Problems
derivative of (x^2+1)^5
derivative\:(x^{2}+1)^{5}
derivative of tan(e^{sin(x}))
\frac{d}{dx}(\tan(e^{\sin(x)}))
integral of t*e^{4t}
\int\:t\cdot\:e^{4t}dt
derivative of f(x)=(1+x+x^2)/(1-x^2)
derivative\:f(x)=\frac{1+x+x^{2}}{1-x^{2}}
derivative of f(x)=(4x+5)/(4x-5)
derivative\:f(x)=\frac{4x+5}{4x-5}
derivative of ln(sin(x)+cos^2(x))
\frac{d}{dx}(\ln(\sin(x))+\cos^{2}(x))
integral of (sqrt(y^2-81))/y
\int\:\frac{\sqrt{y^{2}-81}}{y}dy
sum from n=0 to infinity of 1/(2^n+3^n)
\sum\:_{n=0}^{\infty\:}\frac{1}{2^{n}+3^{n}}
integral of cos(2nx)
\int\:\cos(2nx)dx
9(t+1)(dy)/(dt)-7y=14t
9(t+1)\frac{dy}{dt}-7y=14t
(\partial)/(\partial x)(-5x^2+7y^5x)
\frac{\partial\:}{\partial\:x}(-5x^{2}+7y^{5}x)
derivative of h(x)=tan(4x^2-3x-4)
derivative\:h(x)=\tan(4x^{2}-3x-4)
integral of 7cot^4(x)
\int\:7\cot^{4}(x)dx
2xy-9x^2+(2y+x^2+1)y^'=0
2xy-9x^{2}+(2y+x^{2}+1)y^{\prime\:}=0
derivative of 5tan(2x^3+2/(x^2))
\frac{d}{dx}(5\tan(2x^{3})+\frac{2}{x^{2}})
y^'=-(1+y)^4,y(1)=2
y^{\prime\:}=-(1+y)^{4},y(1)=2
derivative of Cxe^{3x}
\frac{d}{dx}(Cxe^{3x})
derivative of 8tsin(pit)
derivative\:8t\sin(πt)
derivative of (2sqrt(x)-1/(5-4sqrt(x)))
\frac{d}{dx}(\frac{2\sqrt{x}-1}{5-4\sqrt{x}})
derivative of ((22.2sin(5t))/t)+44
derivative\:(\frac{22.2\sin(5t)}{t})+44
integral of 7cos(t)
\int\:7\cos(t)dt
sum from n=3 to infinity of 1/(4^n)
\sum\:_{n=3}^{\infty\:}\frac{1}{4^{n}}
4y^{''}+8y^'+13y=8sin(1.5t)
4y^{\prime\:\prime\:}+8y^{\prime\:}+13y=8\sin(1.5t)
integral of 1/(\sqrt[5]{x^3)}
\int\:\frac{1}{\sqrt[5]{x^{3}}}dx
derivative of 1/5 x^{15}
derivative\:\frac{1}{5}x^{15}
integral of (x^2)/((x^2+4)^2)
\int\:\frac{x^{2}}{(x^{2}+4)^{2}}dx
slope of (-3,4),(2,-2)
slope\:(-3,4),(2,-2)
(\partial)/(\partial x)(2y+2x^2)
\frac{\partial\:}{\partial\:x}(2y+2x^{2})
3x^2y^'+x^3y^{''}=x
3x^{2}y^{\prime\:}+x^{3}y^{\prime\:\prime\:}=x
integral of (x^2-3)/(-x^3+9x+1)
\int\:\frac{x^{2}-3}{-x^{3}+9x+1}dx
integral of (2x-3)(5x+1)
\int\:(2x-3)(5x+1)dx
integral from 1 to 5 of 4/x
\int\:_{1}^{5}\frac{4}{x}dx
sum from n=1 to infinity of 2/(3^n+1)
\sum\:_{n=1}^{\infty\:}\frac{2}{3^{n}+1}
derivative of cot(tan(x))
\frac{d}{dx}(\cot(\tan(x)))
y^'=(1-2x)y^2,y(0)=-1/30
y^{\prime\:}=(1-2x)y^{2},y(0)=-\frac{1}{30}
integral from 0 to 8 of k(8-x)
\int\:_{0}^{8}k(8-x)
derivative of f(x)=-6x^2+7x
derivative\:f(x)=-6x^{2}+7x
tangent of f(x)=-1-4e^{-x/3},\at x=8
tangent\:f(x)=-1-4e^{-\frac{x}{3}},\at\:x=8
xy^'-y=2x^2-x-1
xy^{\prime\:}-y=2x^{2}-x-1
integral of sin^2((pix)/l)
\int\:\sin^{2}(\frac{πx}{l})dx
derivative of 2(x+2^{3/2})
\frac{d}{dx}(2(x+2)^{\frac{3}{2}})
integral of 9/(1+x^2)
\int\:\frac{9}{1+x^{2}}dx
integral of (5/x-3/(x^4))
\int\:(\frac{5}{x}-\frac{3}{x^{4}})dx
derivative of y=(2x)/(9-tan(x))
derivative\:y=\frac{2x}{9-\tan(x)}
derivative of-pi^2sin(pix)
\frac{d}{dx}(-π^{2}\sin(πx))
integral from y to 1 of 3x
\int\:_{y}^{1}3xdx
derivative of f(4k)=x^2-2x
derivative\:f(4k)=x^{2}-2x
integral of (17-17x)/(1-sqrt(x))
\int\:\frac{17-17x}{1-\sqrt{x}}dx
d/(d{x)}(ln({x}^2+{y}^2+{z}^2))
\frac{d}{d{x}}(\ln({x}^{2}+{y}^{2}+{z}^{2}))
derivative of log_{10}(x^2+y)
\frac{d}{dx}(\log_{10}(x^{2}+y))
(\partial)/(\partial x)(-2e^{-x^2-y^2}xcos(xy)-e^{-x^2-y^2}ysin(xy))
\frac{\partial\:}{\partial\:x}(-2e^{-x^{2}-y^{2}}x\cos(xy)-e^{-x^{2}-y^{2}}y\sin(xy))
(\partial)/(\partial x)(1/(xy)(x^2y^2+y+x))
\frac{\partial\:}{\partial\:x}(\frac{1}{xy}(x^{2}y^{2}+y+x))
(\partial)/(\partial x)(5xy^4+2ycos(x))
\frac{\partial\:}{\partial\:x}(5xy^{4}+2y\cos(x))
derivative of y=x^3e^{4x}
derivative\:y=x^{3}e^{4x}
integral of (e^{-2x}+e^{2x})/2
\int\:\frac{e^{-2x}+e^{2x}}{2}dx
tangent of f(x)=(18)/((2x+4)^2),\at x=9
tangent\:f(x)=\frac{18}{(2x+4)^{2}},\at\:x=9
integral of cos(2x)e^{2x}
\int\:\cos(2x)e^{2x}dx
(\partial)/(\partial x)(5^{xy})
\frac{\partial\:}{\partial\:x}(5^{xy})
limit as x approaches 0 of x^2sin(3/x)
\lim\:_{x\to\:0}(x^{2}\sin(\frac{3}{x}))
integral from 0 to pi of sin^3(x)
\int\:_{0}^{π}\sin^{3}(x)dx
(\partial)/(\partial x)(ln(x-2y)-z)
\frac{\partial\:}{\partial\:x}(\ln(x-2y)-z)
limit as x approaches-7+of x^2sqrt(x+7)
\lim\:_{x\to\:-7+}(x^{2}\sqrt{x+7})
integral from-7 to 7 of (6-|x|)
\int\:_{-7}^{7}(6-\left|x\right|)dx
integral of (3/2 x+5)^{1/3}
\int\:(\frac{3}{2}x+5)^{\frac{1}{3}}dx
integral of x^2e^{-2x}+5e^{-2x}
\int\:x^{2}e^{-2x}+5e^{-2x}dx
integral from 1 to 4 of 2/x
\int\:_{1}^{4}\frac{2}{x}dx
integral of (x^5)/(1+x^{12)}
\int\:\frac{x^{5}}{1+x^{12}}dx
integral of ((2x-3))/((x^2-3x+6)^2)
\int\:\frac{(2x-3)}{(x^{2}-3x+6)^{2}}dx
integral of 6te^t
\int\:6te^{t}dt
y^{''}+4y^'+40y=30cos(8t)
y^{\prime\:\prime\:}+4y^{\prime\:}+40y=30\cos(8t)
integral from-3 to-3 of x^2
\int\:_{-3}^{-3}x^{2}dx
integral of (6x^5)/((x^6+1)^2)
\int\:\frac{6x^{5}}{(x^{6}+1)^{2}}dx
derivative of (e^x/(x^n))
\frac{d}{dx}(\frac{e^{x}}{x^{n}})
tangent of y=arccos(x)+x,\at x=0
tangent\:y=\arccos(x)+x,\at\:x=0
t(dx)/(dt)=x-2t
t\frac{dx}{dt}=x-2t
sum from n=1 to infinity of 2+n/(3n+2)
\sum\:_{n=1}^{\infty\:}2+\frac{n}{3n+2}
inverse oflaplace (s^2)/((s+5)(s^2+2^2))
inverselaplace\:\frac{s^{2}}{(s+5)(s^{2}+2^{2})}
integral of ((ln(x))^3)/x
\int\:\frac{(\ln(x))^{3}}{x}dx
integral of sin(2x-pi/4)
\int\:\sin(2x-\frac{π}{4})dx
limit as x approaches 1 of 1
\lim\:_{x\to\:1}(1)
y^'=(x^2+1)/(3y^2)
y^{\prime\:}=\frac{x^{2}+1}{3y^{2}}
integral of 1/(x^2-7)
\int\:\frac{1}{x^{2}-7}dx
-4y^{''}+16y=0,y(1)=2,y^'(2)=1
-4y^{\prime\:\prime\:}+16y=0,y(1)=2,y^{\prime\:}(2)=1
derivative of y=x^3(x-1)^2
derivative\:y=x^{3}(x-1)^{2}
derivative of f(x)=6sin^3(sqrt(x))
derivative\:f(x)=6\sin^{3}(\sqrt{x})
integral of 8x^2+6+9/(x^2+1)
\int\:8x^{2}+6+\frac{9}{x^{2}+1}dx
y^{''}+16y^'+73y=0
y^{\prime\:\prime\:}+16y^{\prime\:}+73y=0
y^{''}-8y^'+4y=0
y^{\prime\:\prime\:}-8y^{\prime\:}+4y=0
(dy)/(dx)=2
\frac{dy}{dx}=2
integral of e^{-x^8}(-8x^7)
\int\:e^{-x^{8}}(-8x^{7})dx
integral of tan^2(θ)cos(θ)
\int\:\tan^{2}(θ)\cos(θ)dθ
limit as x approaches 16 of (x^2)/2-8/x
\lim\:_{x\to\:16}(\frac{x^{2}}{2}-\frac{8}{x})
derivative of (3x+2^5)
\frac{d}{dx}((3x+2)^{5})
derivative of f(x)=8pix^2
derivative\:f(x)=8πx^{2}
(\partial ^2)/(\partial y^2)((xy)/(x-y))
\frac{\partial\:^{2}}{\partial\:y^{2}}(\frac{xy}{x-y})
limit as x approaches 4 of 5
\lim\:_{x\to\:4}(5)
derivative of 9cos(3x)
\frac{d}{dx}(9\cos(3x))
derivative of 4ax
\frac{d}{dx}(4ax)
limit as x approaches 2-of |x|-x^2
\lim\:_{x\to\:2-}(\left|x\right|-x^{2})
derivative of (5x/((x^2-1)))
\frac{d}{dx}(\frac{5x}{(x^{2}-1)})
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