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Popular Calculus Problems
integral of 2^{sin^2(1/3)x}sin(2/3)x
\int\:2^{\sin^{2}(\frac{1}{3})x}\sin(\frac{2}{3})xdx
derivative of \sqrt[3]{x^3+3x}
\frac{d}{dx}(\sqrt[3]{x^{3}+3x})
derivative of xye^{-x^2-y^2}
\frac{d}{dx}(xye^{-x^{2}-y^{2}})
derivative of e^{(-4x})
\frac{d}{dx}(e^{(-4x)})
y^'+y= 1/(1+e^x)
y^{\prime\:}+y=\frac{1}{1+e^{x}}
derivative of sin(x^0)
\frac{d}{dx}(\sin(x^{0}))
integral from 0 to t of 5e^ssin(t-s)
\int\:_{0}^{t}5e^{s}\sin(t-s)ds
(dy)/(dx)+y=-1,x>1
\frac{dy}{dx}+y=-1,x>1
integral of (cos(x))/((sin^2(x))^{1/3)}
\int\:\frac{\cos(x)}{(\sin^{2}(x))^{\frac{1}{3}}}dx
limit as x approaches 0 of (sin(14x))/x
\lim\:_{x\to\:0}(\frac{\sin(14x)}{x})
derivative of sin(x+sin(5x))
\frac{d}{dx}(\sin(x+\sin(5x)))
integral of sin(e^x)
\int\:\sin(e^{x})dx
derivative of f(x)=8(2x-3)^3
derivative\:f(x)=8(2x-3)^{3}
(\partial)/(\partial y)(-x^2y+cos(x))
\frac{\partial\:}{\partial\:y}(-x^{2}y+\cos(x))
limit as x approaches 2 of 5pi
\lim\:_{x\to\:2}(5π)
slope ofintercept (-3,7),(6,-8)
slopeintercept\:(-3,7),(6,-8)
x^2y^'+4/3 xy=2cos(2x)y^{-1/2}
x^{2}y^{\prime\:}+\frac{4}{3}xy=2\cos(2x)y^{-\frac{1}{2}}
limit as x approaches 0 of 1/(ln(x+1))
\lim\:_{x\to\:0}(\frac{1}{\ln(x+1)})
integral of cos(x/y)
\int\:\cos(\frac{x}{y})dx
derivative of ((e^{-x})/x)
\frac{d}{dx}(\frac{(e^{-x})}{x})
derivative of f(x)=(x-2)/(x^2-2x-3)
derivative\:f(x)=\frac{x-2}{x^{2}-2x-3}
tangent of f(x)=-3/2 x^2+3x+3
tangent\:f(x)=-\frac{3}{2}x^{2}+3x+3
derivative of (e^x-2)^{1/2}
derivative\:(e^{x}-2)^{\frac{1}{2}}
integral of (xsin(2x))
\int\:(x\sin(2x))dx
integral of sin(9x)cos(3x)
\int\:\sin(9x)\cos(3x)dx
limit as x approaches 7+of 7sqrt(x-7)
\lim\:_{x\to\:7+}(7\sqrt{x-7})
integral of (4x-9)
\int\:(4x-9)dx
derivative of x-e
\frac{d}{dx}(x-e)
integral from 0 to x of 25-100x
\int\:_{0}^{x}25-100xdx
integral of (-e^{2x})/2
\int\:\frac{-e^{2x}}{2}dx
derivative of sin(\sqrt[3]{x})
\frac{d}{dx}(\sin(\sqrt[3]{x}))
integral of 3y^4
\int\:3y^{4}dy
(\partial)/(\partial x)(e^{-(x^2+y^2+2x)})
\frac{\partial\:}{\partial\:x}(e^{-(x^{2}+y^{2}+2x)})
integral from 2 to 4 of x^2e^{2x}
\int\:_{2}^{4}x^{2}e^{2x}dx
implicit (e^{ex}-x^2y)=1
implicit\:(e^{ex}-x^{2}y)=1
integral of ((sqrt(x^2-1))/(x^4))
\int\:(\frac{\sqrt{x^{2}-1}}{x^{4}})dx
(x^2+5)y^'=xy
(x^{2}+5)y^{\prime\:}=xy
area y=3x^2,(0,1)
area\:y=3x^{2},(0,1)
derivative of (x^3+9e^x)
\frac{d}{dx}((x^{3}+9)e^{x})
integral from 2 to 7 of 4/(8x-11)
\int\:_{2}^{7}\frac{4}{8x-11}dx
derivative of (6x^2+2x+6)/(sqrt(x))
derivative\:\frac{6x^{2}+2x+6}{\sqrt{x}}
tangent of y=tan(x),\at x= pi/4
tangent\:y=\tan(x),\at\:x=\frac{π}{4}
integral from 1/7 to 3 of 14xln(7x)
\int\:_{\frac{1}{7}}^{3}14x\ln(7x)dx
(\partial)/(\partial x)((5y)/(x^2+1))
\frac{\partial\:}{\partial\:x}(\frac{5y}{x^{2}+1})
derivative of (x+1/(1-x))
\frac{d}{dx}(\frac{x+1}{1-x})
integral from-3 to 3 of (27/2-3/2 x^2)
\int\:_{-3}^{3}(\frac{27}{2}-\frac{3}{2}x^{2})dx
limit as x approaches 0-of (x-2)/(x^2-4)
\lim\:_{x\to\:0-}(\frac{x-2}{x^{2}-4})
derivative of ((qx+r))/((sx+t))
derivative\:\frac{(qx+r)}{(sx+t)}
f(x)=(e^x)/(3x^2+2x^4)
f(x)=\frac{e^{x}}{3x^{2}+2x^{4}}
derivative of 2x(7x^2-2^4)
\frac{d}{dx}(2x(7x^{2}-2)^{4})
integral from 0 to ln(5) of e^x(3-4e^x)
\int\:_{0}^{\ln(5)}e^{x}(3-4e^{x})dx
area y=e^2,x=0,x=3
area\:y=e^{2},x=0,x=3
derivative of xe^{{r}(xx})
\frac{d}{dx}(xe^{{r}(x)x})
derivative of log_{5}(arccos(x^3-2))
\frac{d}{dx}(\log_{5}(\arccos(x^{3}-2)))
(\partial)/(\partial x)(-2e^ysin(-x)+3y-4xy)
\frac{\partial\:}{\partial\:x}(-2e^{y}\sin(-x)+3y-4xy)
(\partial)/(\partial x)(3(x^{1/3}+y^{1/3}))
\frac{\partial\:}{\partial\:x}(3(x^{\frac{1}{3}}+y^{\frac{1}{3}}))
integral from 2 to 5 of 4/x
\int\:_{2}^{5}\frac{4}{x}dx
derivative of sqrt(120+x^3)
derivative\:\sqrt{120+x^{3}}
integral of 4x^{-5}+6x^{-1}-1
\int\:4x^{-5}+6x^{-1}-1dx
integral of (3cos(x)+7sin(x))
\int\:(3\cos(x)+7\sin(x))dx
derivative of sqrt(sin(4x))
\frac{d}{dx}(\sqrt{\sin(4x)})
(\partial)/(\partial u)(u)
\frac{\partial\:}{\partial\:u}(u)
derivative of (3y^2)/(4-15xy)
derivative\:\frac{3y^{2}}{4-15xy}
derivative of (-3x^2/(x^2-2x+1))
\frac{d}{dx}(\frac{-3x^{2}}{x^{2}-2x+1})
derivative of 1/(\sqrt[3]{(5-x^3^5)})
\frac{d}{dx}(\frac{1}{\sqrt[3]{(5-x^{3})^{5}}})
sum from n=0 to infinity}((2^{n+1 of))/(5^n)
\sum\:_{n=0}^{\infty\:}\frac{(2^{n+1})}{5^{n}}
integral of x/(sqrt(5x+3))
\int\:\frac{x}{\sqrt{5x+3}}dx
integral of 1/100 x+10
\int\:\frac{1}{100}x+10dx
(\partial)/(\partial x)(ln(x^7+y^3))
\frac{\partial\:}{\partial\:x}(\ln(x^{7}+y^{3}))
integral from 0 to 8 of sqrt(1+9x)
\int\:_{0}^{8}\sqrt{1+9x}dx
(\partial)/(\partial x)(3x+5y)
\frac{\partial\:}{\partial\:x}(3x+5y)
derivative of x/(sqrt(4+x^2))
\frac{d}{dx}(\frac{x}{\sqrt{4+x^{2}}})
limit as x approaches 0 of (sin(9x))/(sin(3x))
\lim\:_{x\to\:0}(\frac{\sin(9x)}{\sin(3x)})
integral of-4e^xsin(4y)
\int\:-4e^{x}\sin(4y)dy
integral of-x^{1/2}
\int\:-x^{\frac{1}{2}}dx
integral of x/(x^4+x^2+1)
\int\:\frac{x}{x^{4}+x^{2}+1}dx
derivative of ((x^2-1^4)/(sqrt(x^2+1)))
\frac{d}{dx}(\frac{(x^{2}-1)^{4}}{\sqrt{x^{2}+1}})
limit as x approaches infinity of x^2-9
\lim\:_{x\to\:\infty\:}(x^{2}-9)
tangent of (x^2-60)(2x-3)
tangent\:(x^{2}-60)(2x-3)
integral of (x-4)/(x+2)
\int\:\frac{x-4}{x+2}dx
integral of (2t+1)
\int\:(2t+1)dt
integral of (3x^3-2x^2+2x-4)/(-x^4-2x^2)
\int\:\frac{3x^{3}-2x^{2}+2x-4}{-x^{4}-2x^{2}}dx
81y^{''}+72y^'+16y=0,y(0)=2,y^'(0)=-1
81y^{\prime\:\prime\:}+72y^{\prime\:}+16y=0,y(0)=2,y^{\prime\:}(0)=-1
integral from 1 to 2 of (3/(x^2)-1)
\int\:_{1}^{2}(\frac{3}{x^{2}}-1)dx
(dy)/(dx)=(2x+y+1)/(4x+2y-5)
\frac{dy}{dx}=\frac{2x+y+1}{4x+2y-5}
limit as x approaches 0 of 5+4x-x^3
\lim\:_{x\to\:0}(5+4x-x^{3})
limit as x approaches-infinity of 4
\lim\:_{x\to\:-\infty\:}(4)
limit as x approaches infinity of 3*2^x
\lim\:_{x\to\:\infty\:}(3\cdot\:2^{x})
(\partial)/(\partial y)(4xy+3x^2)
\frac{\partial\:}{\partial\:y}(4xy+3x^{2})
derivative of-9e^{x-9}
\frac{d}{dx}(-9e^{x-9})
f(t)=4sin^2(t)
f(t)=4\sin^{2}(t)
integral of x/(x^2+3x+2)
\int\:\frac{x}{x^{2}+3x+2}dx
derivative of arctan(ax^2)
\frac{d}{dx}(\arctan(ax^{2}))
integral from 0 to 2 of (x+1)^2
\int\:_{0}^{2}(x+1)^{2}dx
implicit (dy)/(dx),y^2=x^3
implicit\:\frac{dy}{dx},y^{2}=x^{3}
limit as x approaches 0 of xln|x|
\lim\:_{x\to\:0}(x\ln\left|x\right|)
(\partial)/(\partial x)(e^{-4x^2})
\frac{\partial\:}{\partial\:x}(e^{-4x^{2}})
derivative of 6ln(x)
\frac{d}{dx}(6\ln(x))
2x-1+(3y+7)((dy)/(dx))=0
2x-1+(3y+7)(\frac{dy}{dx})=0
taylor 1+x,0
taylor\:1+x,0
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