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Popular Calculus Problems
derivative of y= 1/(2x-9)
derivative\:y=\frac{1}{2x-9}
derivative of e^{-ix}
\frac{d}{dx}(e^{-ix})
limit as x approaches 0 of (1+x) 1/x
\lim\:_{x\to\:0}((1+x)\frac{1}{x})
integral of (15)/(1+9x^2)
\int\:\frac{15}{1+9x^{2}}dx
area-4x+x^2+10,9-2x,2x+1
area\:-4x+x^{2}+10,9-2x,2x+1
derivative of y=sqrt(x)-2\sqrt[3]{x}
derivative\:y=\sqrt{x}-2\sqrt[3]{x}
(dP)/(dt)=P-P^2
\frac{dP}{dt}=P-P^{2}
derivative of (2)(e^{3sqrt(x)})
derivative\:(2)(e^{3\sqrt{x}})
implicit (dy)/(dx),x^2+xy+y^2=7
implicit\:\frac{dy}{dx},x^{2}+xy+y^{2}=7
integral from 0 to pi/3 of 2sec^2(x)
\int\:_{0}^{\frac{π}{3}}2\sec^{2}(x)dx
area f(x)=sqrt(x)+3,g(x)= 1/2 x+3
area\:f(x)=\sqrt{x}+3,g(x)=\frac{1}{2}x+3
integral from 0 to 5 of 1/((5-x)^{1/3)}
\int\:_{0}^{5}\frac{1}{(5-x)^{\frac{1}{3}}}dx
derivative of 3x^4-7ln(x)
derivative\:3x^{4}-7\ln(x)
integral of (x^4+2x^3-3)/(x^3)
\int\:\frac{x^{4}+2x^{3}-3}{x^{3}}dx
derivative of 1/((1-x)^2)
derivative\:\frac{1}{(1-x)^{2}}
5sqrt(xy)((dy)/(dx))=1
5\sqrt{xy}(\frac{dy}{dx})=1
derivative of sqrt(3-7x-x^2)
\frac{d}{dx}(\sqrt{3-7x-x^{2}})
integral of (x^3)/(sqrt(x^4+4))
\int\:\frac{x^{3}}{\sqrt{x^{4}+4}}dx
inverse oflaplace s/(s^2+s-2)
inverselaplace\:\frac{s}{s^{2}+s-2}
tangent of y=3e^x,\at x=2
tangent\:y=3e^{x},\at\:x=2
integral of 1/(t^3sqrt(t^2-4))
\int\:\frac{1}{t^{3}\sqrt{t^{2}-4}}dt
(\partial)/(\partial y)(xe^y+ye^x)
\frac{\partial\:}{\partial\:y}(xe^{y}+ye^{x})
integral from 1 to 4 of ln(x)
\int\:_{1}^{4}\ln(x)dx
tangent of f(x)=x^2+6x-5,\at x=2
tangent\:f(x)=x^{2}+6x-5,\at\:x=2
integral of 12(y^4+4y^2+1)^2(y^3+2y)
\int\:12(y^{4}+4y^{2}+1)^{2}(y^{3}+2y)dy
partialfraction x/(x+3)
partialfraction\:\frac{x}{x+3}
integral of 6sqrt(x+1)
\int\:6\sqrt{x+1}dx
inverse oflaplace (e^t-cos(t))/t
inverselaplace\:\frac{e^{t}-\cos(t)}{t}
integral of-2x^{-1}*x^{-2}
\int\:-2x^{-1}\cdot\:x^{-2}dx
y^{''}=-k^2*y
y^{\prime\:\prime\:}=-k^{2}\cdot\:y
tangent of f(x)=e^{x/3}
tangent\:f(x)=e^{\frac{x}{3}}
integral of xe^{1/2 x}
\int\:xe^{\frac{1}{2}x}dx
tangent of 2x^4+(3x)/5
tangent\:2x^{4}+\frac{3x}{5}
integral of cos((2pinx)/3)
\int\:\cos(\frac{2πnx}{3})dx
(d^2)/(dx^2)(21e^{1/x})
\frac{d^{2}}{dx^{2}}(21e^{\frac{1}{x}})
integral from 9/2 to 9 of sqrt(81-x^2)
\int\:_{\frac{9}{2}}^{9}\sqrt{81-x^{2}}dx
limit as x approaches infinity of (1-2/x)^{x+3}
\lim\:_{x\to\:\infty\:}((1-\frac{2}{x})^{x+3})
integral of 2x^{2/3}
\int\:2x^{\frac{2}{3}}dx
t^2y^'+ty=t^5
t^{2}y^{\prime\:}+ty=t^{5}
integral of (y+4)/y
\int\:\frac{y+4}{y}dy
integral from 0 to 2 of pi(4x)^2
\int\:_{0}^{2}π(4x)^{2}dx
integral of 1/(sqrt(169+x^2))
\int\:\frac{1}{\sqrt{169+x^{2}}}dx
(\partial)/(\partial x)(x^2ln(y)+5xy^3)
\frac{\partial\:}{\partial\:x}(x^{2}\ln(y)+5xy^{3})
derivative of x^2sqrt(8x-1)
derivative\:x^{2}\sqrt{8x-1}
derivative of (1-2x)/(4+x)
derivative\:\frac{1-2x}{4+x}
derivative of e^xcos(2x-2e^xsin(2x))
\frac{d}{dx}(e^{x}\cos(2x)-2e^{x}\sin(2x))
(\partial)/(\partial y)(2sqrt(y))
\frac{\partial\:}{\partial\:y}(2\sqrt{y})
integral of 3/(xsqrt(4-x^2))
\int\:\frac{3}{x\sqrt{4-x^{2}}}dx
slope of (-2,1),(1,6)
slope\:(-2,1),(1,6)
derivative of e^{(3-2x})
\frac{d}{dx}(e^{(3-2x)})
d/(du)(u^{-1})
\frac{d}{du}(u^{-1})
derivative of (x^2+3/2)
\frac{d}{dx}(\frac{x^{2}+3}{2})
integral from 0 to 1 of (5x-5^x)
\int\:_{0}^{1}(5x-5^{x})dx
integral of xsin(11-x)
\int\:x\sin(11-x)dx
integral of 1/(pin)sin(npix)
\int\:\frac{1}{πn}\sin(nπx)dx
derivative of f(x)=x^2(3+x)^{-5}
derivative\:f(x)=x^{2}(3+x)^{-5}
d/(dt)(e^t(cos(t)-sin(t)))
\frac{d}{dt}(e^{t}(\cos(t)-\sin(t)))
derivative of f(x)=ln(25sin(2)(x))
derivative\:f(x)=\ln(25\sin(2)(x))
y^{''}+1/4 y=0,y(pi)=1,y^'(pi)=-3
y^{\prime\:\prime\:}+\frac{1}{4}y=0,y(π)=1,y^{\prime\:}(π)=-3
derivative of ((x-1/(x^2+x+1))^4)
\frac{d}{dx}((\frac{x-1}{x^{2}+x+1})^{4})
limit as x approaches-10 of 10[|x|]-9
\lim\:_{x\to\:-10}(10[\left|x\right|]-9)
integral of sin(x)+3
\int\:\sin(x)+3dx
tangent of f(x)=x^2-x,\at x=3
tangent\:f(x)=x^{2}-x,\at\:x=3
integral of ((x^2+3x-2)/(sqrt(x)))
\int\:(\frac{x^{2}+3x-2}{\sqrt{x}})dx
derivative of log_{b}(x)
derivative\:\log_{b}(x)
derivative of 2sin(x+cos(3x))
\frac{d}{dx}(2\sin(x)+\cos(3x))
2xy+x^2((dy)/(dx))=y^2
2xy+x^{2}(\frac{dy}{dx})=y^{2}
limit as x approaches 4 of sqrt(4x)+2
\lim\:_{x\to\:4}(\sqrt{4x}+2)
derivative of y=x^2+2x-3
derivative\:y=x^{2}+2x-3
derivative of 6/(sqrt(x))
derivative\:\frac{6}{\sqrt{x}}
tangent of y=e^s(s^3+5),(0,5)
tangent\:y=e^{s}(s^{3}+5),(0,5)
integral of (e^{6x})/(e^{2x)}
\int\:\frac{e^{6x}}{e^{2x}}dx
(\partial)/(\partial x)(sqrt(2x+y^{10)})
\frac{\partial\:}{\partial\:x}(\sqrt{2x+y^{10}})
integral of (pi^2-1)
\int\:(π^{2}-1)dx
integral of 4xln(6x)
\int\:4x\ln(6x)dx
100y^{''}-20y^'+y=0
100y^{\prime\:\prime\:}-20y^{\prime\:}+y=0
(x^2y+3y)y^'=2xy^2+8x
(x^{2}y+3y)y^{\prime\:}=2xy^{2}+8x
(dy)/(dx)=e^{-3y}
\frac{dy}{dx}=e^{-3y}
(dx)/(dt)=t^3(1-x),x(0)=3
\frac{dx}{dt}=t^{3}(1-x),x(0)=3
derivative of 3x^{k-2}+2kx^{k-1}+4x^k
\frac{d}{dx}(3x^{k-2}+2kx^{k-1}+4x^{k})
integral of x/((x-2)^3)
\int\:\frac{x}{(x-2)^{3}}dx
derivative of 1/4 e^x+3/4 e^{-x}
\frac{d}{dx}(\frac{1}{4}e^{x}+\frac{3}{4}e^{-x})
derivative of 5ln(x-(x^2)/(40))
\frac{d}{dx}(5\ln(x)-\frac{x^{2}}{40})
derivative of (1+x^2/x)
\frac{d}{dx}(\frac{1+x^{2}}{x})
limit as x approaches 4 of 6/x
\lim\:_{x\to\:4}(\frac{6}{x})
integral of xy^2
\int\:xy^{2}dx
(6du)/(dt)=u^2
\frac{6du}{dt}=u^{2}
simplify (x^2+2x)/(4x)
simplify\:\frac{x^{2}+2x}{4x}
(dy)/(dx)=-y+1
\frac{dy}{dx}=-y+1
integral of (4x-3)/(sqrt(x))
\int\:\frac{4x-3}{\sqrt{x}}dx
derivative of y=ln(5+2x+x^3)
derivative\:y=\ln(5+2x+x^{3})
integral of 1/(cos^2(ay))
\int\:\frac{1}{\cos^{2}(ay)}dy
(\partial)/(\partial x)(8x^2+y^2-9y)
\frac{\partial\:}{\partial\:x}(8x^{2}+y^{2}-9y)
tangent of f(x)=x^2+3x+1,\at x=4
tangent\:f(x)=x^{2}+3x+1,\at\:x=4
limit as x approaches 0 of ln(0)
\lim\:_{x\to\:0}(\ln(0))
integral of x^3(3+x^4)^5
\int\:x^{3}(3+x^{4})^{5}dx
(\partial)/(\partial x)(2x^2y+3)
\frac{\partial\:}{\partial\:x}(2x^{2}y+3)
derivative of (x+1)/(x-1)
derivative\:\frac{x+1}{x-1}
(dr)/(dθ)r=(4+sec(θ))sin(θ)
\frac{dr}{dθ}r=(4+\sec(θ))\sin(θ)
derivative of f(x)=sqrt((x^2*5^x)^9)
derivative\:f(x)=\sqrt{(x^{2}\cdot\:5^{x})^{9}}
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