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Popular Calculus Problems
integral of (sec(x))
\int\:(\sec(x))dx
derivative of arcsin(6x)
\frac{d}{dx}(\arcsin(6x))
integral of sec^3(1)
\int\:\sec^{3}(1)dx
derivative of (mP)/(P+(m-P)e^{-kmt)}
derivative\:\frac{mP}{P+(m-P)e^{-kmt}}
(d^2)/(dx^2)(3/(4t^5))
\frac{d^{2}}{dx^{2}}(\frac{3}{4t^{5}})
derivative of 6x^4+3
\frac{d}{dx}(6x^{4}+3)
y^'=(x-ysin(2x))/(sin^2(x))
y^{\prime\:}=\frac{x-y\sin(2x)}{\sin^{2}(x)}
integral of tan^3(2x)sec^2(2x)
\int\:\tan^{3}(2x)\sec^{2}(2x)dx
integral of 1/(sqrt(25-81x^2))
\int\:\frac{1}{\sqrt{25-81x^{2}}}dx
(dy)/(dx)=2x(x-2)
\frac{dy}{dx}=2x(x-2)
(\partial)/(\partial x)(1/(1+e^{-w^Tx)})
\frac{\partial\:}{\partial\:x}(\frac{1}{1+e^{-w^{T}x}})
derivative of (2x/(sqrt(sec(x))))
\frac{d}{dx}(\frac{2x}{\sqrt{\sec(x)}})
integral from-1 to 0.5 of 1.5x^2
\int\:_{-1}^{0.5}1.5x^{2}dx
integral of x/(sqrt(2x^2-1))
\int\:\frac{x}{\sqrt{2x^{2}-1}}dx
(dy)/(dx)-(4/x)y=x^5e^x
\frac{dy}{dx}-(\frac{4}{x})y=x^{5}e^{x}
limit as x approaches 6-of cx^2+3x
\lim\:_{x\to\:6-}(cx^{2}+3x)
derivative of (x^2)/(1+x^2)
derivative\:\frac{x^{2}}{1+x^{2}}
1/(x^7)y^'=15+12y
\frac{1}{x^{7}}y^{\prime\:}=15+12y
limit as x approaches 2 of (x-2)/(x-1)
\lim\:_{x\to\:2}(\frac{x-2}{x-1})
(x^2+1)y^'=-4x(y-1),y(0)=8
(x^{2}+1)y^{\prime\:}=-4x(y-1),y(0)=8
derivative of f(x)=e^{3sqrt(x)}
derivative\:f(x)=e^{3\sqrt{x}}
derivative of (x-2^3(x^2+9)^4)
\frac{d}{dx}((x-2)^{3}(x^{2}+9)^{4})
integral of sqrt(e^x+1)
\int\:\sqrt{e^{x}+1}dx
integral of x/(x+7)
\int\:\frac{x}{x+7}dx
(\partial)/(\partial y)((x+y)^8)
\frac{\partial\:}{\partial\:y}((x+y)^{8})
(\partial)/(\partial y)(x^2y+y^3)
\frac{\partial\:}{\partial\:y}(x^{2}y+y^{3})
integral from 0 to 1 of r^3
\int\:_{0}^{1}r^{3}dr
integral of sin(x)e^{2x}
\int\:\sin(x)e^{2x}dx
tangent of f(x)=sqrt(x),(25,5)
tangent\:f(x)=\sqrt{x},(25,5)
derivative of (x+7/(sqrt(x)))
\frac{d}{dx}(\frac{x+7}{\sqrt{x}})
integral of 1/(sqrt(1-x^2)arcsin(x))
\int\:\frac{1}{\sqrt{1-x^{2}}\arcsin(x)}dx
derivative of ln(h+1/(2ax^2+b))
\frac{d}{dx}(\ln(h+\frac{1}{2ax^{2}}+b))
limit as x approaches 0 of (1-cos(5x))/(sin(3x))
\lim\:_{x\to\:0}(\frac{1-\cos(5x)}{\sin(3x)})
integral from-8 to 8 of xsqrt(64-x^2)
\int\:_{-8}^{8}x\sqrt{64-x^{2}}dx
integral of sin(4t)sin(2t)
\int\:\sin(4t)\sin(2t)dt
integral of (2x-3)/(x^3+3x)
\int\:\frac{2x-3}{x^{3}+3x}dx
slope of (9,7),(6,-2)
slope\:(9,7),(6,-2)
derivative of (3x^4+6)/(x^2)
derivative\:\frac{3x^{4}+6}{x^{2}}
(\partial)/(\partial x)(-t+x)
\frac{\partial\:}{\partial\:x}(-t+x)
ty^'=2y-3t^3cos(4t)
ty^{\prime\:}=2y-3t^{3}\cos(4t)
(\partial)/(\partial x)(6xy-6x)
\frac{\partial\:}{\partial\:x}(6xy-6x)
x^2y^{''}-3xy^'-2y=0
x^{2}y^{\prime\:\prime\:}-3xy^{\prime\:}-2y=0
limit as x approaches-pi/3 of-sec(x)
\lim\:_{x\to\:-\frac{π}{3}}(-\sec(x))
integral of (sqrt(36-25x^2))/x
\int\:\frac{\sqrt{36-25x^{2}}}{x}dx
integral from 0 to 1 of 1/(t^2+1)
\int\:_{0}^{1}\frac{1}{t^{2}+1}dt
x^2y^{''}-2xy^'+2y=x^3e^x
x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+2y=x^{3}e^{x}
integral from 1 to 2 of (9x^3+4x^2-2)/x
\int\:_{1}^{2}\frac{9x^{3}+4x^{2}-2}{x}dx
integral of x/(x)
\int\:\frac{x}{d+x}dx
integral of cos(7x)
\int\:\cos(7x)dx
integral from 0 to 5 of (4x-x^2)
\int\:_{0}^{5}(4x-x^{2})dx
integral of 6sin^2(x)
\int\:6\sin^{2}(x)dx
derivative of 11sec^2(x)
\frac{d}{dx}(11\sec^{2}(x))
derivative of cy^{-5}
derivative\:cy^{-5}
derivative of (2x/8)
\frac{d}{dx}(\frac{2x}{8})
derivative of-(200/(x^2))
\frac{d}{dx}(-\frac{200}{x^{2}})
derivative of 1/(2sqrt(r))+1/(4r^{3/4)}
derivative\:\frac{1}{2\sqrt{r}}+\frac{1}{4r^{\frac{3}{4}}}
derivative of arctan(x/2)
derivative\:\arctan(\frac{x}{2})
integral of x^5sqrt(x^6+8)
\int\:x^{5}\sqrt{x^{6}+8}dx
area 1,cos^2(x),[0,pi]
area\:1,\cos^{2}(x),[0,π]
limit as x approaches 0 of (tan(9x))^x
\lim\:_{x\to\:0}((\tan(9x))^{x})
derivative of 4log_{3}(x^2-1)
\frac{d}{dx}(4\log_{3}(x^{2}-1))
derivative of 20x
\frac{d}{dx}(20x)
integral of 1/(x(1+4In^2x))
\int\:\frac{1}{x(1+4In^{2}x)}dx
derivative of y=16sqrt(x)
derivative\:y=16\sqrt{x}
extreme f(v)= v/(v+d/v)
extreme\:f(v)=\frac{v}{v+\frac{d}{v}}
inverse oflaplace 3e^{-s}
inverselaplace\:3e^{-s}
derivative of y=cot^2(5x)
derivative\:y=\cot^{2}(5x)
derivative of (x^{11}-1)^3
derivative\:(x^{11}-1)^{3}
integral of 1^{-x}
\int\:1^{-x}dx
(\partial)/(\partial x)(y*x)
\frac{\partial\:}{\partial\:x}(y\cdot\:x)
limit as x approaches 6 of 2x+3x
\lim\:_{x\to\:6}(2x+3x)
derivative of tan^2(9x)
derivative\:\tan^{2}(9x)
limit as x approaches 4 of sqrt(x^2-9)
\lim\:_{x\to\:4}(\sqrt{x^{2}-9})
integral of-4x^{3/2}+3x^{2/3}-4x^2
\int\:-4x^{\frac{3}{2}}+3x^{\frac{2}{3}}-4x^{2}dx
derivative of y=e^{-6x^5}
derivative\:y=e^{-6x^{5}}
integral of cot^6(x)csc^4(x)
\int\:\cot^{6}(x)\csc^{4}(x)dx
inverse oflaplace 1/((s+1)(s+2))
inverselaplace\:\frac{1}{(s+1)(s+2)}
x^2y^{''}-2xy^'+(2+x^2)y=0
x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+(2+x^{2})y=0
derivative of e^{ln(1+1/k)}
derivative\:e^{\ln(1+\frac{1}{k})}
derivative of xln(xcos(x))
\frac{d}{dx}(x\ln(x)\cos(x))
integral of 1/(3x)+cos(2x)-5x^2
\int\:\frac{1}{3x}+\cos(2x)-5x^{2}dx
d/(dθ)(cot^2(sin(θ)))
\frac{d}{dθ}(\cot^{2}(\sin(θ)))
d/(dt)(e^{4t}cos(t))
\frac{d}{dt}(e^{4t}\cos(t))
derivative of (7x-4/(-3x+3))
\frac{d}{dx}(\frac{7x-4}{-3x+3})
derivative of-6
derivative\:-6
limit as x approaches 5 of 2x-5
\lim\:_{x\to\:5}(2x-5)
(dy)/(dt)=(1+t)(1+y)
\frac{dy}{dt}=(1+t)(1+y)
limit as t approaches 1+of (|1-t|)/(1-t)
\lim\:_{t\to\:1+}(\frac{\left|1-t\right|}{1-t})
derivative of e^{x^2-y^2}
\frac{d}{dx}(e^{x^{2}-y^{2}})
limit as x approaches pi/2 of 6sec(x)
\lim\:_{x\to\:\frac{π}{2}}(6\sec(x))
limit as h approaches 0 of mx+b
\lim\:_{h\to\:0}(mx+b)
limit as x approaches 0 of 5/(2x)
\lim\:_{x\to\:0}(\frac{5}{2x})
(\partial)/(\partial y)(-xsin(xy))
\frac{\partial\:}{\partial\:y}(-x\sin(xy))
integral of e^{t/2}cos(2t)
\int\:e^{\frac{t}{2}}\cos(2t)dt
integral of cos^3(x)ln(sin(x))
\int\:\cos^{3}(x)\ln(\sin(x))dx
derivative of f(x)=(3x+2)/(3x-2)
derivative\:f(x)=\frac{3x+2}{3x-2}
derivative of sqrt(3x+2y)
\frac{d}{dx}(\sqrt{3x+2y})
derivative of sqrt(25+x^2)
\frac{d}{dx}(\sqrt{25+x^{2}})
slope of (2,-2),(9,3)
slope\:(2,-2),(9,3)
derivative of 4arcsin(x^2)
derivative\:4\arcsin(x^{2})
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