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Popular Calculus Problems
(d^2)/(dx^2)y=x^3
\frac{d^{2}}{dx^{2}}y=x^{3}
derivative of 3ln(x^2)
\frac{d}{dx}(3\ln(x^{2}))
(\partial)/(\partial x)(e^{2y}-ycos(xy))
\frac{\partial\:}{\partial\:x}(e^{2y}-y\cos(xy))
area y=e^x,y=e^{-3x},x=ln(3)
area\:y=e^{x},y=e^{-3x},x=\ln(3)
(\partial)/(\partial x)(xy(x-2)(y-3))
\frac{\partial\:}{\partial\:x}(xy(x-2)(y-3))
derivative of (1-2x^2)
\frac{d}{dx}((1-2x)^{2})
f(x)=xsqrt(ln(x))
f(x)=x\sqrt{\ln(x)}
integral of sqrt(3x^2+4)
\int\:\sqrt{3x^{2}+4}dx
integral of 1ln(x^2-1)
\int\:1\ln(x^{2}-1)dx
tangent of e^x,\at x=5
tangent\:e^{x},\at\:x=5
derivative of x^5sin(xtan(x))
\frac{d}{dx}(x^{5}\sin(x)\tan(x))
limit as x approaches-5-of 8/((-5)+5)
\lim\:_{x\to\:-5-}(\frac{8}{(-5)+5})
derivative of (3x-1^5)
\frac{d}{dx}((3x-1)^{5})
integral of 1/(x^2y)
\int\:\frac{1}{x^{2}y}dy
tangent of-x^3+9x^2-6x+9
tangent\:-x^{3}+9x^{2}-6x+9
derivative of sin(2x)cos(3x)
derivative\:\sin(2x)\cos(3x)
integral of x^2e^xcos(x)
\int\:x^{2}e^{x}\cos(x)dx
integral of 2xcos(x^2)
\int\:2x\cos(x^{2})dx
area f(x)=0.2x^2+10,g(x)=x,x=-7,x=2
area\:f(x)=0.2x^{2}+10,g(x)=x,x=-7,x=2
(\partial)/(\partial x)(ln(8x^2+9y^2))
\frac{\partial\:}{\partial\:x}(\ln(8x^{2}+9y^{2}))
integral from-1 to 2 of (3x^2-2x+3)
\int\:_{-1}^{2}(3x^{2}-2x+3)dx
derivative of x^2sqrt(x-5)
\frac{d}{dx}(x^{2}\sqrt{x-5})
(e^{x+2})^'
(e^{x+2})^{\prime\:}
d/(d{z)}({x}^{{y}^{{z}}})
\frac{d}{d{z}}({x}^{{y}^{{z}}})
sum from n=0 to infinity of 1-(0.2)^n
\sum\:_{n=0}^{\infty\:}1-(0.2)^{n}
derivative of e^{-6x}sin(6x)
\frac{d}{dx}(e^{-6x}\sin(6x))
integral of y/(sqrt(1-4y^4))
\int\:\frac{y}{\sqrt{1-4y^{4}}}dy
derivative of 4x^{-2x}
\frac{d}{dx}(4x^{-2x})
(dy)/(dx)=1-xy
\frac{dy}{dx}=1-xy
integral of 1/(x(100-x))
\int\:\frac{1}{x(100-x)}dx
derivative of sqrt(1+x+x^2)
\frac{d}{dx}(\sqrt{1+x+x^{2}})
inverse oflaplace ((s+6))/(s^2+6s+25)
inverselaplace\:\frac{(s+6)}{s^{2}+6s+25}
derivative of 0.001x^3+4x+1458
derivative\:0.001x^{3}+4x+1458
derivative of f(x)= 1/(sqrt(x^{17))}
derivative\:f(x)=\frac{1}{\sqrt{x^{17}}}
5x^{''}+25x^'+340x=0
5x^{\prime\:\prime\:}+25x^{\prime\:}+340x=0
inverse oflaplace 1/((s-1)(s^2+9))
inverselaplace\:\frac{1}{(s-1)(s^{2}+9)}
area 2x^2-8x-55,-x^2-2x+50,-5,7
area\:2x^{2}-8x-55,-x^{2}-2x+50,-5,7
(\partial)/(\partial y)(e^{xz}y^3-ln(x))
\frac{\partial\:}{\partial\:y}(e^{xz}y^{3}-\ln(x))
derivative of f(x(x^3))
\frac{d}{dx}(f(x)(x^{3}))
integral of x(x+3)^7
\int\:x(x+3)^{7}dx
x^2(dy)/(dx)=sqrt(y)(4x+3)
x^{2}\frac{dy}{dx}=\sqrt{y}(4x+3)
integral from-1 to 1 of 1/(x^2)
\int\:_{-1}^{1}\frac{1}{x^{2}}dx
(\partial)/(\partial y)(6ze^{xyz})
\frac{\partial\:}{\partial\:y}(6ze^{xyz})
derivative of sqrt((1+x)/(1-x))
derivative\:\sqrt{\frac{1+x}{1-x}}
integral from-1 to 2 of 4/(x^3)
\int\:_{-1}^{2}\frac{4}{x^{3}}dx
sum from n=0 to infinity of 4/(7^{n-1)}
\sum\:_{n=0}^{\infty\:}\frac{4}{7^{n-1}}
(\partial)/(\partial x)(-sin(xy))
\frac{\partial\:}{\partial\:x}(-\sin(xy))
derivative of y=0.5x-3
derivative\:y=0.5x-3
integral from 0 to ln(4) of e^x-e^{-2x}
\int\:_{0}^{\ln(4)}e^{x}-e^{-2x}dx
integral of (3x^2)/((2x^3+1)^4)
\int\:\frac{3x^{2}}{(2x^{3}+1)^{4}}dx
(dy)/(dx)=xsqrt(x-6)
\frac{dy}{dx}=x\sqrt{x-6}
integral of x(2+x^2)^2
\int\:x(2+x^{2})^{2}dx
laplacetransform 9t^2e^{2t}
laplacetransform\:9t^{2}e^{2t}
integral of x/((x^2-1))
\int\:\frac{x}{(x^{2}-1)}dx
integral of 1/((2x+3)^3)
\int\:\frac{1}{(2x+3)^{3}}dx
integral of 8x^2ln(x)
\int\:8x^{2}\ln(x)dx
(\partial)/(\partial x)(2x^2y+9xy^3)
\frac{\partial\:}{\partial\:x}(2x^{2}y+9xy^{3})
d/(dt)(sin(t)+cos(t))
\frac{d}{dt}(\sin(t)+\cos(t))
(dy)/(dx)+3y=5
\frac{dy}{dx}+3y=5
(\partial)/(\partial x)(1/(y-3x))
\frac{\partial\:}{\partial\:x}(\frac{1}{y-3x})
area y=x^3,(-1,2)
area\:y=x^{3},(-1,2)
(\partial)/(\partial x)(3+xln(xy-9))
\frac{\partial\:}{\partial\:x}(3+x\ln(xy-9))
y^{''}+3y^'+3.25y=3cos(t)-1.5sin(t)
y^{\prime\:\prime\:}+3y^{\prime\:}+3.25y=3\cos(t)-1.5\sin(t)
y^'=(e^{x+y})/(1+e^x)
y^{\prime\:}=\frac{e^{x+y}}{1+e^{x}}
area y=(29)/(x^3),[1,10]
area\:y=\frac{29}{x^{3}},[1,10]
limit as x approaches 4 of sqrt(4-2)
\lim\:_{x\to\:4}(\sqrt{4-2})
integral of (x^3+x)^2
\int\:(x^{3}+x)^{2}dx
dx-(x+y)dy=0
dx-(x+y)dy=0
integral of cos(4y)
\int\:\cos(4y)dy
integral of x^2sqrt(x^2-25)
\int\:x^{2}\sqrt{x^{2}-25}dx
y^'+1/t y=0
y^{\prime\:}+\frac{1}{t}y=0
sum from n=1 to infinity of (x/n)^n
\sum\:_{n=1}^{\infty\:}(\frac{x}{n})^{n}
tangent of y=x^3-x,(1,0)
tangent\:y=x^{3}-x,(1,0)
derivative of x/(x^2-15)
\frac{d}{dx}(\frac{x}{x^{2}-15})
integral of 9/((x-2)(x^2+4))
\int\:\frac{9}{(x-2)(x^{2}+4)}dx
slope of (4.4)(5.9)
slope\:(4.4)(5.9)
y^{''}-y^'+16y=4sin(4t)
y^{\prime\:\prime\:}-y^{\prime\:}+16y=4\sin(4t)
(\partial)/(\partial x)(9xsin(y-z))
\frac{\partial\:}{\partial\:x}(9x\sin(y-z))
derivative of 1/3 x^3+1/2 x^2+2
\frac{d}{dx}(\frac{1}{3}x^{3}+\frac{1}{2}x^{2}+2)
y^{''}-2/x y^'-(10)/(x^2)=0
y^{\prime\:\prime\:}-\frac{2}{x}y^{\prime\:}-\frac{10}{x^{2}}=0
integral of 2x(x^2+5)^7
\int\:2x(x^{2}+5)^{7}dx
(\partial)/(\partial x)(cos(x^2+y^3))
\frac{\partial\:}{\partial\:x}(\cos(x^{2}+y^{3}))
limit as x approaches pi of 1/(cos(x))
\lim\:_{x\to\:π}(\frac{1}{\cos(x)})
derivative of f(x)= x/(x^2+11)
derivative\:f(x)=\frac{x}{x^{2}+11}
(\partial)/(\partial x)((x^3+2y^2)^3)
\frac{\partial\:}{\partial\:x}((x^{3}+2y^{2})^{3})
limit as x approaches-infinity of 4^x+5
\lim\:_{x\to\:-\infty\:}(4^{x}+5)
integral from 1 to 4 of 1/(sqrt(4x+7))
\int\:_{1}^{4}\frac{1}{\sqrt{4x+7}}dx
derivative of ((x^2+x)(2x+1))/(4x)
derivative\:\frac{(x^{2}+x)(2x+1)}{4x}
limit as x approaches-4-of (x+2)/(x+4)
\lim\:_{x\to\:-4-}(\frac{x+2}{x+4})
integral from-3 to 3 of 2-|x|
\int\:_{-3}^{3}2-\left|x\right|dx
integral of (26)/((x-1)(x^2+25))
\int\:\frac{26}{(x-1)(x^{2}+25)}dx
integral of 4x^3-1/(1-x)
\int\:4x^{3}-\frac{1}{1-x}dx
integral of x/((4-x^2)^{3/2)}
\int\:\frac{x}{(4-x^{2})^{\frac{3}{2}}}dx
integral of 5x^{1/4}-7x^{3/4}
\int\:5x^{\frac{1}{4}}-7x^{\frac{3}{4}}dx
tangent of f(x)= 7/(sqrt(x))
tangent\:f(x)=\frac{7}{\sqrt{x}}
integral of (3x^4)/(x^2-2x)
\int\:\frac{3x^{4}}{x^{2}-2x}dx
slope of (-x^2+x+6)/(e^x)
slope\:\frac{-x^{2}+x+6}{e^{x}}
derivative of ln(x^2-x+1)
derivative\:\ln(x^{2}-x+1)
integral of (2x^2)/(x^4-1)
\int\:\frac{2x^{2}}{x^{4}-1}dx
y^{''}+1/2 y^'+1/16 y=0,y(0)=5,y^'(0)=0
y^{\prime\:\prime\:}+\frac{1}{2}y^{\prime\:}+\frac{1}{16}y=0,y(0)=5,y^{\prime\:}(0)=0
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