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Popular Calculus Problems
integral of sin(3x)sin(2x)sin(x)
\int\:\sin(3x)\sin(2x)\sin(x)dx
inverse oflaplace 1/(s+1/a)
inverselaplace\:\frac{1}{s+\frac{1}{a}}
area x, 1/(x^2),2
area\:x,\frac{1}{x^{2}},2
d/(da)(sin^4(a)-cos^4(a))
\frac{d}{da}(\sin^{4}(a)-\cos^{4}(a))
1/4 y^{''}+4y=2tan(4t)-1/3 e^{3t}
\frac{1}{4}y^{\prime\:\prime\:}+4y=2\tan(4t)-\frac{1}{3}e^{3t}
derivative of \sqrt[3]{x-8}
\frac{d}{dx}(\sqrt[3]{x-8})
integral of (1+y^2)
\int\:(1+y^{2})dy
(\partial)/(\partial x)(3x*e^z)
\frac{\partial\:}{\partial\:x}(3x\cdot\:e^{z})
inverse oflaplace 2/(s^2+2s+10)*1/s
inverselaplace\:\frac{2}{s^{2}+2s+10}\cdot\:\frac{1}{s}
integral of (2x+1)/(x^2+2x+26)
\int\:\frac{2x+1}{x^{2}+2x+26}dx
integral of sec^n(x)tan(x)
\int\:\sec^{n}(x)\tan(x)dx
derivative of 1-(1-x/(24)^3)
\frac{d}{dx}(1-(1-\frac{x}{24})^{3})
y^'+3y=6
y^{\prime\:}+3y=6
derivative of f(x)=(x-5)^6(x+3)^2
derivative\:f(x)=(x-5)^{6}(x+3)^{2}
derivative of sin^{1/2}(2x)
\frac{d}{dx}(\sin^{\frac{1}{2}}(2x))
integral of-8(y)^2(1)
\int\:-8(y)^{2}(1)dy
area x=y^2+14y+16,x=7y+6
area\:x=y^{2}+14y+16,x=7y+6
derivative of 2sqrt(x)+1
derivative\:2\sqrt{x}+1
integral of+1/((9x^2+1)^{5/2)}
\int\:+\frac{1}{(9x^{2}+1)^{\frac{5}{2}}}dx
derivative of f(x)=(6x)/((x^3-9)^2)
derivative\:f(x)=\frac{6x}{(x^{3}-9)^{2}}
limit as x approaches 3+of 2x+5
\lim\:_{x\to\:3+}(2x+5)
limit as x approaches 0 of x/(sqrt(5-x)-\sqrt{5+x)}
\lim\:_{x\to\:0}(\frac{x}{\sqrt{5-x}-\sqrt{5+x}})
derivative of ln(a+xsqrt(2ax+x^2))
\frac{d}{dx}(\ln(a+x\sqrt{2ax+x^{2}}))
limit as x approaches 3 of f(x)x
\lim\:_{x\to\:3}(f(x)x)
d/(dt)(2t+4)
\frac{d}{dt}(2t+4)
taylor 1/(z^2)
taylor\:\frac{1}{z^{2}}
limit as x approaches-5 of 3x-1
\lim\:_{x\to\:-5}(3x-1)
derivative of (4x^2+3(2x-5))
\frac{d}{dx}((4x^{2}+3)(2x-5))
derivative of tan^4((1-x/(1+x)))
\frac{d}{dx}(\tan^{4}(\frac{1-x}{1+x}))
(dy)/(dt)=-0.4y+6.2e^{-0.73t},y(0)=0
\frac{dy}{dt}=-0.4y+6.2e^{-0.73t},y(0)=0
(dy)/(dx)=((y^2-1))/((x^2-1)),y(2)=2
\frac{dy}{dx}=\frac{(y^{2}-1)}{(x^{2}-1)},y(2)=2
limit as x approaches infinity of 5x
\lim\:_{x\to\:\infty\:}(5x)
integral from 0 to 6 of 7000te^{-0.1t}
\int\:_{0}^{6}7000te^{-0.1t}dt
integral from 1 to 10 of 5/(x^3)
\int\:_{1}^{10}\frac{5}{x^{3}}dx
integral of (6x^2+7x+6)/((x^2+1)^2)
\int\:\frac{6x^{2}+7x+6}{(x^{2}+1)^{2}}dx
slope of (-2,10),(4,-2)
slope\:(-2,10),(4,-2)
(dy)/(dx)=x^2-1
\frac{dy}{dx}=x^{2}-1
derivative of ln(2x-1/4 x)
\frac{d}{dx}(\ln(2x)-\frac{1}{4}x)
(\partial)/(\partial x)(x*sin(y+2x))
\frac{\partial\:}{\partial\:x}(x\cdot\:\sin(y+2x))
derivative of x^9e^{8x}
\frac{d}{dx}(x^{9}e^{8x})
derivative of e^{3t}
derivative\:e^{3t}
(dy)/(dx)=((3x+2y+1/3)^2)/(3x+2y+1/3)
\frac{dy}{dx}=\frac{(3x+2y+\frac{1}{3})^{2}}{3x+2y+\frac{1}{3}}
limit as x approaches+2+of 5
\lim\:_{x\to\:+2+}(5)
integral from 0 to pi/6 of cos^2(x)
\int\:_{0}^{\frac{π}{6}}\cos^{2}(x)dx
sum from n=1 to infinity of \sqrt[n]{3}
\sum\:_{n=1}^{\infty\:}\sqrt[n]{3}
derivative of ln((2x-1/(x-1)))
\frac{d}{dx}(\ln(\frac{2x-1}{x-1}))
integral of x^{10}ln(x)
\int\:x^{10}\ln(x)dx
integral from 4 to 9 of 1/(1-sqrt(x))
\int\:_{4}^{9}\frac{1}{1-\sqrt{x}}dx
integral of e^{x^3+1}
\int\:e^{x^{3}+1}dx
(1+x^2)y^'-2xy=0
(1+x^{2})y^{\prime\:}-2xy=0
limit as x approaches 10 of (x^3)/3
\lim\:_{x\to\:10}(\frac{x^{3}}{3})
expand (-3cos(2x)-sin(3x)-4)^2
expand\:(-3\cos(2x)-\sin(3x)-4)^{2}
limit as x approaches 2 of 3-sqrt(x+7)
\lim\:_{x\to\:2}(3-\sqrt{x+7})
d/(dz)(e^{2z})
\frac{d}{dz}(e^{2z})
y^'=((x^2-1))/(y^2)
y^{\prime\:}=\frac{(x^{2}-1)}{y^{2}}
(dy)/(dx)+2e^{x+y}=0
\frac{dy}{dx}+2e^{x+y}=0
(\partial)/(\partial y)(sqrt(x^2+4xy+y^4))
\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+4xy+y^{4}})
area 2/x , 2/(x^2),x=6
area\:\frac{2}{x},\frac{2}{x^{2}},x=6
integral of (cos(x))/(sin(x))
\int\:\frac{\cos(x)}{\sin(x)}dx
derivative of 9tan(x/3)
\frac{d}{dx}(9\tan(\frac{x}{3}))
(\partial)/(\partial x)(((3x^2)/(2x+4))^3)
\frac{\partial\:}{\partial\:x}((\frac{3x^{2}}{2x+4})^{3})
derivative of ln((e^t)/(1+e^t))
derivative\:\ln(\frac{e^{t}}{1+e^{t}})
derivative of (8x^2-7y^3^5)
\frac{d}{dx}((8x^{2}-7y^{3})^{5})
integral of (4x^2+4x-6)/((x-6)(x-3)^2)
\int\:\frac{4x^{2}+4x-6}{(x-6)(x-3)^{2}}dx
derivative of f(x)= 2/(x+1)
derivative\:f(x)=\frac{2}{x+1}
integral of (2x+4)/(x^2(x-2))
\int\:\frac{2x+4}{x^{2}(x-2)}dx
limit as x approaches-2 of x/(2x^2+2x+1)
\lim\:_{x\to\:-2}(\frac{x}{2x^{2}+2x+1})
integral of 12^x
\int\:12^{x}dx
(ln(1-x))^'
(\ln(1-x))^{\prime\:}
integral of 3/(35sin(x)-12cos(x))
\int\:\frac{3}{35\sin(x)-12\cos(x)}dx
derivative of f(x)=3x^2e^x+e^x(x^3+8)
derivative\:f(x)=3x^{2}e^{x}+e^{x}(x^{3}+8)
yln(x)-x^2y=xy^'
y\ln(x)-x^{2}y=xy^{\prime\:}
(\partial)/(\partial y)(x^{3y})
\frac{\partial\:}{\partial\:y}(x^{3y})
limit as x approaches 0 of a^{1/x}
\lim\:_{x\to\:0}(a^{\frac{1}{x}})
integral of xe^{(x+2)}
\int\:xe^{(x+2)}dx
y^{''}+7y^'+10y=0
y^{\prime\:\prime\:}+7y^{\prime\:}+10y=0
integral of-sinh(x)
\int\:-\sinh(x)dx
derivative of 7x+s+9
\frac{d}{dx}(7x+s+9)
derivative of f(x)=(x^2-1)/x
derivative\:f(x)=\frac{x^{2}-1}{x}
derivative of 1/4 x^4-2/3 x^3+2
\frac{d}{dx}(\frac{1}{4}x^{4}-\frac{2}{3}x^{3}+2)
integral of ln(x^2+3)
\int\:\ln(x^{2}+3)dx
integral of 1/(nln(n))
\int\:\frac{1}{n\ln(n)}
integral from-1 to 3 of (-x^3+2x-11)
\int\:_{-1}^{3}(-x^{3}+2x-11)dx
laplacetransform t^3e^t
laplacetransform\:t^{3}e^{t}
integral of sqrt(x^2+4x)
\int\:\sqrt{x^{2}+4x}dx
area y= 6/(4-3x)-1,(-4,1)
area\:y=\frac{6}{4-3x}-1,(-4,1)
(\partial)/(\partial x)(2x^2y+cos(x^4))
\frac{\partial\:}{\partial\:x}(2x^{2}y+\cos(x^{4}))
integral of 1/(10-x)
\int\:\frac{1}{10-x}dx
(\partial)/(\partial z)(xtan(y)-ze^z)
\frac{\partial\:}{\partial\:z}(x\tan(y)-ze^{z})
(dy)/(dt)+3y=t+e^{-2t}
\frac{dy}{dt}+3y=t+e^{-2t}
integral of 4/(\sqrt[3]{2x+1)}
\int\:\frac{4}{\sqrt[3]{2x+1}}dx
integral of (1+sin(2x))^2
\int\:(1+\sin(2x))^{2}dx
d/(dt)(csc(t))
\frac{d}{dt}(\csc(t))
limit as x approaches 3 of x+a+b
\lim\:_{x\to\:3}(x+a+b)
integral of s6^s
\int\:s6^{s}ds
longdivision (x^2+2x+1)/(x^2-2x+1)
longdivision\:\frac{x^{2}+2x+1}{x^{2}-2x+1}
derivative of e^{x-6}
\frac{d}{dx}(e^{x-6})
derivative of y=(2x^3+1)^2
derivative\:y=(2x^{3}+1)^{2}
y^'+4y=3x^2e^{-4x}
y^{\prime\:}+4y=3x^{2}e^{-4x}
integral of (sin(x))^3(cos(x))^4
\int\:(\sin(x))^{3}(\cos(x))^{4}dx
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