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Popular Calculus Problems
maclaurin f(x)=arctan(2x)
maclaurin\:f(x)=\arctan(2x)
integral of (2x-6)^3
\int\:(2x-6)^{3}dx
integral from 0 to 3 of (x+1)^{1/2}
\int\:_{0}^{3}(x+1)^{\frac{1}{2}}dx
y^'-y=e^{-t}
y^{\prime\:}-y=e^{-t}
(\partial)/(\partial x)(xe^{(y/z)})
\frac{\partial\:}{\partial\:x}(xe^{(\frac{y}{z})})
(\partial)/(\partial x)(n/(x+1))
\frac{\partial\:}{\partial\:x}(\frac{n}{x+1})
(\partial)/(\partial x)(-1)
\frac{\partial\:}{\partial\:x}(-1)
derivative of f(x)=sqrt(x^2-4)
derivative\:f(x)=\sqrt{x^{2}-4}
integral of (x^4)/(x^2-4)
\int\:\frac{x^{4}}{x^{2}-4}dx
(\partial)/(\partial x)(2*(y-2)^3*(x-6))
\frac{\partial\:}{\partial\:x}(2\cdot\:(y-2)^{3}\cdot\:(x-6))
4y^{''}+y=2sec(t/2)
4y^{\prime\:\prime\:}+y=2\sec(\frac{t}{2})
(100-x^2)(dy)/(dx)=7y
(100-x^{2})\frac{dy}{dx}=7y
limit as x approaches-2 of ln(x+2)
\lim\:_{x\to\:-2}(\ln(x+2))
derivative of x/(sqrt(x-4))
\frac{d}{dx}(\frac{x}{\sqrt{x-4}})
integral of (x^3)/(2x^4+1)
\int\:\frac{x^{3}}{2x^{4}+1}dx
limit as x approaches 5 of 4x-5
\lim\:_{x\to\:5}(4x-5)
integral of (21pi)/2 cos((21pix)/2)
\int\:\frac{21π}{2}\cos(\frac{21πx}{2})dx
derivative of (2cos(x)/(1+sin(x)))
\frac{d}{dx}(\frac{2\cos(x)}{1+\sin(x)})
limit as x approaches infinity of x^2-x
\lim\:_{x\to\:\infty\:}(x^{2}-x)
derivative of sec^3(sqrt(x))
\frac{d}{dx}(\sec^{3}(\sqrt{x}))
integral of e^{2x}cos(5x)
\int\:e^{2x}\cos(5x)dx
integral of 1/(x-8sqrt(x)+15)
\int\:\frac{1}{x-8\sqrt{x}+15}dx
derivative of 1/((1+e^{-x)})
\frac{d}{dx}(\frac{1}{(1+e^{-x})})
sin(2x)dx+cos(8y)dy=0,y(pi/2)= pi/8
\sin(2x)dx+\cos(8y)dy=0,y(\frac{π}{2})=\frac{π}{8}
laplacetransform 2cos(3t)
laplacetransform\:2\cos(3t)
integral from 0 to 5 of xsqrt(25-x^2)
\int\:_{0}^{5}x\sqrt{25-x^{2}}dx
integral of 2cos^2(4x)sin(4x)
\int\:2\cos^{2}(4x)\sin(4x)dx
integral of (sqrt(x)ln(x))
\int\:(\sqrt{x}\ln(x))dx
y^'-(2/x y)=((y^3)/(x^3)),y(1)=1
y^{\prime\:}-(\frac{2}{x}y)=(\frac{y^{3}}{x^{3}}),y(1)=1
integral of cos(t)e^{-st}
\int\:\cos(t)e^{-st}dt
sum from n=0 to infinity of 7^{-n}
\sum\:_{n=0}^{\infty\:}7^{-n}
d/(dt)(e^{7t}e^{4it})
\frac{d}{dt}(e^{7t}e^{4it})
(\partial)/(\partial x)(arctan(xy^2))
\frac{\partial\:}{\partial\:x}(\arctan(xy^{2}))
integral of (1-cos(2x))/2
\int\:\frac{1-\cos(2x)}{2}dx
integral of+x^2sec^2(x^3+1)
\int\:+x^{2}\sec^{2}(x^{3}+1)dx
derivative of (x^2/((5+x)))
\frac{d}{dx}(\frac{x^{2}}{(5+x)})
derivative of-x^2-4x-2
\frac{d}{dx}(-x^{2}-4x-2)
integral of cosh(0)
\int\:\cosh(0)
integral from 0 to pi/3 of tan^2(x)
\int\:_{0}^{\frac{π}{3}}\tan^{2}(x)dx
tangent of y=2x^3-x^2+2,(1,3)
tangent\:y=2x^{3}-x^{2}+2,(1,3)
integral of 1-4x^2
\int\:1-4x^{2}dx
limit as x approaches 0 of 1/x-1/(x^2+1)
\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{x^{2}+1})
integral of 1/(sqrt(1-25x^2))
\int\:\frac{1}{\sqrt{1-25x^{2}}}dx
tangent of f(x)=(x^3+x^2+6)/x ,\at x=1
tangent\:f(x)=\frac{x^{3}+x^{2}+6}{x},\at\:x=1
integral of 7(1+tan^2(a))
\int\:7(1+\tan^{2}(a))da
derivative of h(x)= 8/x-2/(x^3)+1/(x^4)
derivative\:h(x)=\frac{8}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}}
y^{''}-14y^'+85y=0
y^{\prime\:\prime\:}-14y^{\prime\:}+85y=0
(\partial)/(\partial x)(4/x)
\frac{\partial\:}{\partial\:x}(\frac{4}{x})
derivative of-(12)/(s^5)
derivative\:-\frac{12}{s^{5}}
inverse oflaplace 2/(s^4)
inverselaplace\:\frac{2}{s^{4}}
derivative of (-2x/((x^2+1)^2))
\frac{d}{dx}(\frac{-2x}{(x^{2}+1)^{2}})
y^{''''}+5y^{''}+4y=0
y^{\prime\:\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}+4y=0
integral of 1/(a+v^2)
\int\:\frac{1}{a+v^{2}}dv
integral of cot^2(2x)
\int\:\cot^{2}(2x)dx
inverse oflaplace 1/(s^2+1)
inverselaplace\:\frac{1}{s^{2}+1}
d/(dt)(2cos(t))
\frac{d}{dt}(2\cos(t))
(\partial)/(\partial z)(ln(z))
\frac{\partial\:}{\partial\:z}(\ln(z))
derivative of f(x)=cos(x)+sin(x)
derivative\:f(x)=\cos(x)+\sin(x)
(dx)/(dy)=4(x^2+1),x(pi/4)=1
\frac{dx}{dy}=4(x^{2}+1),x(\frac{π}{4})=1
integral from 1 to 6 of (x^2+5)/(7x-x^2)
\int\:_{1}^{6}\frac{x^{2}+5}{7x-x^{2}}dx
laplacetransform (cos(7t))/(e^{5t)}
laplacetransform\:\frac{\cos(7t)}{e^{5t}}
x(dy)/(dx)+y=y^2x^2ln(x)
x\frac{dy}{dx}+y=y^{2}x^{2}\ln(x)
derivative of sin^2(pix)
\frac{d}{dx}(\sin^{2}(πx))
integral of x^{-8}
\int\:x^{-8}dx
tangent of y= x/(1+x^2),\at x=0
tangent\:y=\frac{x}{1+x^{2}},\at\:x=0
taylor e^x*sin(x)
taylor\:e^{x}\cdot\:\sin(x)
longdivision ((x^5-5))/((x+1))
longdivision\:\frac{(x^{5}-5)}{(x+1)}
integral of 1/((1-y)^2)
\int\:\frac{1}{(1-y)^{2}}dy
derivative of xln(5)
\frac{d}{dx}(x\ln(5))
y^{''}+8y^'+19y=0,y(0)=1,y^'(0)=2
y^{\prime\:\prime\:}+8y^{\prime\:}+19y=0,y(0)=1,y^{\prime\:}(0)=2
limit as x approaches 0+of 3^{1/x}
\lim\:_{x\to\:0+}(3^{\frac{1}{x}})
integral of 2x\sqrt[3]{1+x^2}
\int\:2x\sqrt[3]{1+x^{2}}dx
2ty'+(4+12t^3-120t^2)y=0
2ty\prime\:+(4+12t^{3}-120t^{2})y=0
y^'=((-y^2))/(-(xy-x^3))
y^{\prime\:}=\frac{(-y^{2})}{-(xy-x^{3})}
(\partial)/(\partial y)(7sin(xy))
\frac{\partial\:}{\partial\:y}(7\sin(xy))
(\partial)/(\partial x)(3xe^{5xy})
\frac{\partial\:}{\partial\:x}(3xe^{5xy})
limit as x approaches-4 of x
\lim\:_{x\to\:-4}(x)
integral of (x^2)/((1+2x)^{1/3)}
\int\:\frac{x^{2}}{(1+2x)^{\frac{1}{3}}}dx
(\partial)/(\partial y)(e^{xy}y^2+x/y)
\frac{\partial\:}{\partial\:y}(e^{xy}y^{2}+\frac{x}{y})
(\partial)/(\partial r)(sqrt(r^2+s^2))
\frac{\partial\:}{\partial\:r}(\sqrt{r^{2}+s^{2}})
derivative of sqrt(sin(\sqrt{x)})
\frac{d}{dx}(\sqrt{\sin(\sqrt{x})})
derivative of y=(7-3x^3)^3
derivative\:y=(7-3x^{3})^{3}
integral of 16e^x
\int\:16e^{x}dx
derivative of (f(x))/(x^2+8)
derivative\:\frac{f(x)}{x^{2}+8}
(dx)/(dt)=0.3*10-x/(40)
\frac{dx}{dt}=0.3\cdot\:10-\frac{x}{40}
derivative of csc^2(θ)-4
derivative\:\csc^{2}(θ)-4
derivative of h(x)= 1/(x^2+4x-21)
derivative\:h(x)=\frac{1}{x^{2}+4x-21}
integral of (sqrt(x)+1/(x^4))
\int\:(\sqrt{x}+\frac{1}{x^{4}})dx
derivative of 19
\frac{d}{dx}(19)
integral of ln((x+2)/(x+1))
\int\:\ln(\frac{x+2}{x+1})dx
area 7x,x*sqrt((15^2-x^2))
area\:7x,x\cdot\:\sqrt{(15^{2}-x^{2})}
derivative of 2sqrt(1+sin(2t))
derivative\:2\sqrt{1+\sin(2t)}
integral of (x+1)sqrt(8x+9)
\int\:(x+1)\sqrt{8x+9}dx
taylor (2x)/((1+x^2)^2)
taylor\:\frac{2x}{(1+x^{2})^{2}}
laplacetransform e^{-t}+2e^{-2t}+te^{-3t}
laplacetransform\:e^{-t}+2e^{-2t}+te^{-3t}
integral of (5cosh(sqrt(x)))/(sqrt(x))
\int\:\frac{5\cosh(\sqrt{x})}{\sqrt{x}}dx
sum from n=0 to infinity of n/(2n^2+1)
\sum\:_{n=0}^{\infty\:}\frac{n}{2n^{2}+1}
limit as x approaches 4 of 7/(x-5)
\lim\:_{x\to\:4}(\frac{7}{x-5})
integral of (5x^2+7)/(x 4/3)
\int\:\frac{5x^{2}+7}{x\frac{4}{3}}dx
limit as x approaches 0 of sin(pi/2-x)
\lim\:_{x\to\:0}(\sin(\frac{π}{2}-x))
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