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Popular Calculus Problems
derivative of f(x)=x^2cos(x)
derivative\:f(x)=x^{2}\cos(x)
d/(dy)(e^y)
\frac{d}{dy}(e^{y})
derivative of sqrt(sin(3x))
\frac{d}{dx}(\sqrt{\sin(3x)})
f^'(x)=-(4x)/((1+2x^2)^2)
f^{\prime\:}(x)=-\frac{4x}{(1+2x^{2})^{2}}
(6y+2x-7)dx+(4y+6x-1)dy=0
(6y+2x-7)dx+(4y+6x-1)dy=0
integral from-1 to 1 of 2-|x|
\int\:_{-1}^{1}2-\left|x\right|dx
integral of 1/(e^{-t)}
\int\:\frac{1}{e^{-t}}dt
integral of 4cos^3(6x)
\int\:4\cos^{3}(6x)dx
integral of x*sin(k*x)
\int\:x\cdot\:\sin(k\cdot\:x)dx
derivative of (4x)^{6x}
derivative\:(4x)^{6x}
(\partial)/(\partial x)(e^{-y}cos(x))
\frac{\partial\:}{\partial\:x}(e^{-y}\cos(x))
integral of 1/(sqrt(x)+\sqrt{x+1)}
\int\:\frac{1}{\sqrt{x}+\sqrt{x+1}}dx
(dy)/(dt)=e^{-3t}
\frac{dy}{dt}=e^{-3t}
parity cos^x(x)
parity\:\cos^{x}(x)
(d^2)/(dx^2)((2x)/(x^2+1))
\frac{d^{2}}{dx^{2}}(\frac{2x}{x^{2}+1})
derivative of 1/(2x^2-3x+1)
\frac{d}{dx}(\frac{1}{2x^{2}-3x+1})
sum from n=1 to infinity of (n^5)/(5^n)
\sum\:_{n=1}^{\infty\:}\frac{n^{5}}{5^{n}}
integral from x^2 to 4-x^2 of y
\int\:_{x^{2}}^{4-x^{2}}ydy
integral of 1/((x^2+4)^{5/2)}
\int\:\frac{1}{(x^{2}+4)^{\frac{5}{2}}}dx
derivative of y=2xe^{-3x}+3e^{x^2}
derivative\:y=2xe^{-3x}+3e^{x^{2}}
y^{''}=3t^2
y^{\prime\:\prime\:}=3t^{2}
integral of e^{(-st)}
\int\:e^{(-st)}dt
y^{''}+4y=sin(3x)
y^{\prime\:\prime\:}+4y=\sin(3x)
tangent of f(x)=x^2+1,(2,5)
tangent\:f(x)=x^{2}+1,(2,5)
integral of 2/(1+9x^2)
\int\:\frac{2}{1+9x^{2}}dx
derivative of (x^2-1)^2
derivative\:(x^{2}-1)^{2}
integral of xln(5+x)
\int\:x\ln(5+x)dx
(\partial)/(\partial y)(3x^3y)
\frac{\partial\:}{\partial\:y}(3x^{3}y)
integral of sin(x)*2x
\int\:\sin(x)\cdot\:2xdx
(\partial)/(\partial x)(2e^yx)
\frac{\partial\:}{\partial\:x}(2e^{y}x)
integral of (6x^3+3x^2-46x-21)/(x^2-9)
\int\:\frac{6x^{3}+3x^{2}-46x-21}{x^{2}-9}dx
(\partial)/(\partial y)(2x)
\frac{\partial\:}{\partial\:y}(2x)
integral of ((1+sqrt(x))^2)/(sqrt(x))
\int\:\frac{(1+\sqrt{x})^{2}}{\sqrt{x}}dx
integral of sqrt(1+4x-x^2)
\int\:\sqrt{1+4x-x^{2}}dx
integral of arctan(1/x)
\int\:\arctan(\frac{1}{x})dx
derivative of 2x^2-4x+3
\frac{d}{dx}(2x^{2}-4x+3)
derivative of f(x)=139+(36)/x+(x^2)/(16)
derivative\:f(x)=139+\frac{36}{x}+\frac{x^{2}}{16}
x^{''}-6x^'+25x=64e^{-t}
x^{\prime\:\prime\:}-6x^{\prime\:}+25x=64e^{-t}
derivative of-7x^3
\frac{d}{dx}(-7x^{3})
(\partial)/(\partial y)(ln(x^2+1)+y^2)
\frac{\partial\:}{\partial\:y}(\ln(x^{2}+1)+y^{2})
derivative of arctan(0)
derivative\:\arctan(0)
limit as x approaches 1 of e^{x^3-x}
\lim\:_{x\to\:1}(e^{x^{3}-x})
derivative of (3x-2/(x^2))
\frac{d}{dx}(\frac{3x-2}{x^{2}})
integral of (x^5-9+6/(x^7))
\int\:(x^{5}-9+\frac{6}{x^{7}})dx
derivative of y+x+x+y+1=0
\frac{d}{dx}(y+x)+x+y+1=0
integral of 1/(sqrt(-x^2+2x+8))
\int\:\frac{1}{\sqrt{-x^{2}+2x+8}}dx
(\partial)/(\partial x)(2xy+ycos(x))
\frac{\partial\:}{\partial\:x}(2xy+y\cos(x))
area e^{8x}-e^{2x},x=1
area\:e^{8x}-e^{2x},x=1
integral of \sqrt[3]{2x+1}
\int\:\sqrt[3]{2x+1}dx
area y=x-6,y^2=2x+108
area\:y=x-6,y^{2}=2x+108
limit as x approaches 3 of (13sin(6x))/x
\lim\:_{x\to\:3}(\frac{13\sin(6x)}{x})
derivative of sqrt(2x-15)
\frac{d}{dx}(\sqrt{2x-15})
derivative of f(x)=ln(c^3-1)
derivative\:f(x)=\ln(c^{3}-1)
sum from n=4 to infinity of e^{7-6n}
\sum\:_{n=4}^{\infty\:}e^{7-6n}
(dx)/(dt)+2t^7x^9+x/t =0
\frac{dx}{dt}+2t^{7}x^{9}+\frac{x}{t}=0
maclaurin x*e^x
maclaurin\:x\cdot\:e^{x}
y^3dx-x^3dy=0
y^{3}dx-x^{3}dy=0
integral of 25xe^{5x}
\int\:25xe^{5x}dx
integral of (4x)/(e^{3x)}
\int\:\frac{4x}{e^{3x}}dx
slope of (0.3)(4)
slope\:(0.3)(4)
derivative of (x^2+sqrt(x)+1/(x^{3/2)})
\frac{d}{dx}(\frac{x^{2}+\sqrt{x}+1}{x^{\frac{3}{2}}})
slope of (-4,-3),(3,-3)
slope\:(-4,-3),(3,-3)
integral of (sin(x))/(cos(x))
\int\:\frac{\sin(x)}{\cos(x)}dx
integral of pi^2-1
\int\:π^{2}-1
integral of ((3x-1))/(x^2-x-6)
\int\:\frac{(3x-1)}{x^{2}-x-6}dx
integral from-infinity to 0 of ze^{2z}
\int\:_{-\infty\:}^{0}ze^{2z}dz
integral of t/(t^4+10)
\int\:\frac{t}{t^{4}+10}dt
derivative of sqrt(x-y)
\frac{d}{dx}(\sqrt{x-y})
integral of x^3sqrt(x^2+38)
\int\:x^{3}\sqrt{x^{2}+38}dx
derivative of Axe^x
\frac{d}{dx}(Axe^{x})
slope of (-1,2),(3,-3)
slope\:(-1,2),(3,-3)
derivative of 2*ln(x)
\frac{d}{dx}(2\cdot\:\ln(x))
derivative of sin^3(x)
derivative\:\sin^{3}(x)
limit as x approaches 0 of sqrt(x+1)-1
\lim\:_{x\to\:0}(\sqrt{x+1}-1)
integral of (4x^2+4)/((x^2-2x+2)^2)
\int\:\frac{4x^{2}+4}{(x^{2}-2x+2)^{2}}dx
(\partial)/(\partial y)(ln(x^2+y^2+1))
\frac{\partial\:}{\partial\:y}(\ln(x^{2}+y^{2}+1))
(\partial)/(\partial x)(3-(e^y)/(e^{x+1)})
\frac{\partial\:}{\partial\:x}(3-\frac{e^{y}}{e^{x+1}})
derivative of f(x)=\sqrt[7]{x^6}
derivative\:f(x)=\sqrt[7]{x^{6}}
tangent of f(x)=2x^2+3x-2,\at x=0
tangent\:f(x)=2x^{2}+3x-2,\at\:x=0
integral of (3x^2+2x-1)
\int\:(3x^{2}+2x-1)dx
limit as x approaches 1+of x^3
\lim\:_{x\to\:1+}(x^{3})
integral of (sqrt(1+x^2))/(-9x)
\int\:\frac{\sqrt{1+x^{2}}}{-9x}dx
integral of tan^2(y)
\int\:\tan^{2}(y)dy
tangent of y= 1/(x^3)
tangent\:y=\frac{1}{x^{3}}
integral from-2 to 2 of x^3-1
\int\:_{-2}^{2}x^{3}-1dx
derivative of z(v)=v^{3/2}(v+ce^v)
derivative\:z(v)=v^{\frac{3}{2}}(v+ce^{v})
y^{''}+y=(cot(x))^2
y^{\prime\:\prime\:}+y=(\cot(x))^{2}
(\partial)/(\partial x)((6x)/(sqrt(x^2+5)))
\frac{\partial\:}{\partial\:x}(\frac{6x}{\sqrt{x^{2}+5}})
integral of 4ln(x)
\int\:4\ln(x)dx
(\partial)/(\partial x)(x^7y^8+3x^5y)
\frac{\partial\:}{\partial\:x}(x^{7}y^{8}+3x^{5}y)
sum from n=0 to infinity of (2n)/(n+3)
\sum\:_{n=0}^{\infty\:}\frac{2n}{n+3}
x(dy)/(dx)+y=-5xy^2
x\frac{dy}{dx}+y=-5xy^{2}
integral of x^4-2/x
\int\:x^{4}-\frac{2}{x}dx
(\partial)/(\partial x)((x+y)ln(xy))
\frac{\partial\:}{\partial\:x}((x+y)\ln(xy))
limit as x approaches 0 of 4/(x^5)
\lim\:_{x\to\:0}(\frac{4}{x^{5}})
derivative of x^2sin(x)
\frac{d}{dx}(x^{2}\sin(x))
derivative of e^{ktan(sqrt(7x)})
\frac{d}{dx}(e^{k\tan(\sqrt{7x})})
tangent of 5-x-x^2
tangent\:5-x-x^{2}
integral of (5x)/(x(x-1))
\int\:\frac{5x}{x(x-1)}dx
integral of 11ln(x)
\int\:11\ln(x)dx
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