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Popular Calculus Problems
tangent of f(x)=3x^2,\at x=(6)
tangent\:f(x)=3x^{2},\at\:x=(6)
limit as x approaches 1+of 1/(x^3-1)
\lim\:_{x\to\:1+}(\frac{1}{x^{3}-1})
derivative of f(x)=tan^3(x)
derivative\:f(x)=\tan^{3}(x)
integral from 1 to e^4 of x^3ln(x)
\int\:_{1}^{e^{4}}x^{3}\ln(x)dx
integral of sin^0(x)
\int\:\sin^{0}(x)dx
integral from 0 to 8 of (8y-y^2)
\int\:_{0}^{8}(8y-y^{2})dy
sum from n=1 to infinity of 100e^{-n/2}
\sum\:_{n=1}^{\infty\:}100e^{-\frac{n}{2}}
derivative of f(x)=(3-2x^3)^2
derivative\:f(x)=(3-2x^{3})^{2}
slope of f(x)=x^2+1
slope\:f(x)=x^{2}+1
integral of-3/4 e^{-4x}x^2
\int\:-\frac{3}{4}e^{-4x}x^{2}dx
slope of y=x-x^3(1)
slope\:y=x-x^{3}(1)
(dy)/(dx)+y^9x+8y=0
\frac{dy}{dx}+y^{9}x+8y=0
integral of (18)/(1+9x^2)
\int\:\frac{18}{1+9x^{2}}dx
derivative of (-2x+1^3)
\frac{d}{dx}((-2x+1)^{3})
integral of (\sqrt[3]{x})/(2x)
\int\:\frac{\sqrt[3]{x}}{2x}dx
integral of sqrt((1-cos(x))/2)
\int\:\sqrt{\frac{1-\cos(x)}{2}}dx
(\partial)/(\partial t)(e^{-2t}cos(x))
\frac{\partial\:}{\partial\:t}(e^{-2t}\cos(x))
limit as x approaches 0 of sin(7/x)
\lim\:_{x\to\:0}(\sin(\frac{7}{x}))
tangent of f(x)= 9/x ,\at x=1
tangent\:f(x)=\frac{9}{x},\at\:x=1
d/(dt)({f}(t)(t)^{-1})
\frac{d}{dt}({f}(t)(t)^{-1})
integral of 18cos(2t)
\int\:18\cos(2t)dt
d/(dt)(3t-1)
\frac{d}{dt}(3t-1)
sum from n=1 to infinity of n^n*x^n
\sum\:_{n=1}^{\infty\:}n^{n}\cdot\:x^{n}
y^{''}+6y^'+8=0
y^{\prime\:\prime\:}+6y^{\prime\:}+8=0
(dy)/(dx)=2x(x-4)
\frac{dy}{dx}=2x(x-4)
(dy)/(dx)-y/x =2xe^x
\frac{dy}{dx}-\frac{y}{x}=2xe^{x}
sum from n=1 to infinity of ((2x+1)/x)^n
\sum\:_{n=1}^{\infty\:}(\frac{2x+1}{x})^{n}
integral from-48 to 0 of 1/(sqrt(1-x))
\int\:_{-48}^{0}\frac{1}{\sqrt{1-x}}dx
integral of (cos(2x))/(sin^3(2x))
\int\:\frac{\cos(2x)}{\sin^{3}(2x)}dx
(\partial)/(\partial v)(u-uv)
\frac{\partial\:}{\partial\:v}(u-uv)
taylor ln(x+3)(1)
taylor\:\ln(x+3)(1)
integral of 1 (e^x)
\int\:\frac{d}{1}(e^{x})dx
derivative of 6/(x+4)
\frac{d}{dx}(\frac{6}{x+4})
slope of (15,250),(20,111)
slope\:(15,250),(20,111)
derivative of (8-x)/5+(sqrt(16+x^2))/3
derivative\:\frac{8-x}{5}+\frac{\sqrt{16+x^{2}}}{3}
derivative of (x^2/(2^x-1))
\frac{d}{dx}(\frac{x^{2}}{2^{x}-1})
integral of 1/(xsqrt(16x^2-1))
\int\:\frac{1}{x\sqrt{16x^{2}-1}}dx
derivative of f(x)= t/((t-7)^2)
derivative\:f(x)=\frac{t}{(t-7)^{2}}
derivative of ln(e^{2x}+1)
\frac{d}{dx}(\ln(e^{2x}+1))
limit as x approaches infinity of (1+1/x)^{x+3}
\lim\:_{x\to\:\infty\:}((1+\frac{1}{x})^{x+3})
y^{''}=-ky(t)
y^{\prime\:\prime\:}=-ky(t)
derivative of-sin(x^2)(2x)
derivative\:-\sin(x^{2})(2x)
integral of 2e^{3t}
\int\:2e^{3t}dt
integral from 0 to 3 of sqrt(1+4x^2)
\int\:_{0}^{3}\sqrt{1+4x^{2}}dx
derivative of f(x)=2x^3-6x^2-90x-1
derivative\:f(x)=2x^{3}-6x^{2}-90x-1
d/(dt)(at^2+bt+c)
\frac{d}{dt}(at^{2}+bt+c)
integral of 1/50
\int\:\frac{1}{50}dx
derivative of 2
derivative\:2
integral of xsec^4(x^2+1)tan^7(x^2+1)
\int\:x\sec^{4}(x^{2}+1)\tan^{7}(x^{2}+1)dx
limit as x approaches 3 of 5/(x(x^3-27))
\lim\:_{x\to\:3}(\frac{5}{x(x^{3}-27)})
integral of (8sqrt(x))/(x^3+1)
\int\:\frac{8\sqrt{x}}{x^{3}+1}dx
tangent of xsin(pix)
tangent\:x\sin(πx)
integral of cos(3x)e^{2sin(3x)}
\int\:\cos(3x)e^{2\sin(3x)}dx
(dy)/(dx)=xsqrt(x-30)
\frac{dy}{dx}=x\sqrt{x-30}
derivative of 2sin(x*cos(x))
\frac{d}{dx}(2\sin(x)\cdot\:\cos(x))
derivative of 0
derivative\:0
limit as x approaches 0 of 5sin(x)ln(x)
\lim\:_{x\to\:0}(5\sin(x)\ln(x))
derivative of 4-(35/(8x^{1/8)})
\frac{d}{dx}(4-\frac{35}{8x^{\frac{1}{8}}})
integral of xe^{2x^2}
\int\:xe^{2x^{2}}dx
(\partial)/(\partial y)(x+3x^3sin(y))
\frac{\partial\:}{\partial\:y}(x+3x^{3}\sin(y))
(dy}{dx}=\frac{y^3)/x
\frac{dy}{dx}=\frac{y^{3}}{x}
integral of 8+tan^2(x)
\int\:8+\tan^{2}(x)dx
derivative of sin^2(3+x)
\frac{d}{dx}(\sin^{2}(3+x))
(dy)/(dx)=(((4y+3))/(8x+5))^2
\frac{dy}{dx}=(\frac{(4y+3)}{8x+5})^{2}
limit as x approaches 6 of 4x+|x-6|
\lim\:_{x\to\:6}(4x+\left|x-6\right|)
derivative of f(x)=x^3+x^2-2x
derivative\:f(x)=x^{3}+x^{2}-2x
limit as x approaches 2 of (2x+1)/(x+2)
\lim\:_{x\to\:2}(\frac{2x+1}{x+2})
derivative of 16e^{2x}x+32e^{2x}
\frac{d}{dx}(16e^{2x}x+32e^{2x})
(dy)/(dx)=0.08y-100000
\frac{dy}{dx}=0.08y-100000
integral of (sqrt(16x^2-25))/(x^3)
\int\:\frac{\sqrt{16x^{2}-25}}{x^{3}}dx
derivative of f(x)=sqrt(7x+2)
derivative\:f(x)=\sqrt{7x+2}
integral of 5/(3x+1)
\int\:\frac{5}{3x+1}dx
y^{''}-8y^'+10y=0,y(0)=0,y^'(0)=5
y^{\prime\:\prime\:}-8y^{\prime\:}+10y=0,y(0)=0,y^{\prime\:}(0)=5
sum from n=1 to infinity of 1/(2n!)
\sum\:_{n=1}^{\infty\:}\frac{1}{2n!}
integral of-1+ln(x)
\int\:-1+\ln(x)dx
integral of 64x^3(4x^2-1)^3
\int\:64x^{3}(4x^{2}-1)^{3}dx
derivative of x^{4/5}(x-8^2)
\frac{d}{dx}(x^{\frac{4}{5}}(x-8)^{2})
integral from-1 to 6 of |x-4x^2|
\int\:_{-1}^{6}\left|x-4x^{2}\right|dx
y^{''}-(2/t)y^'+(2/(t^2))y=0
y^{\prime\:\prime\:}-(\frac{2}{t})y^{\prime\:}+(\frac{2}{t^{2}})y=0
integral of (ln(y))^2y
\int\:(\ln(y))^{2}ydy
derivative of (x^2+4)/(x^2-4)
derivative\:\frac{x^{2}+4}{x^{2}-4}
area 6-6x^2,0
area\:6-6x^{2},0
derivative of-3/(8x^{5/2})
\frac{d}{dx}(-\frac{3}{8x^{\frac{5}{2}}})
integral of sec^2(5x)+e^{x/2}
\int\:\sec^{2}(5x)+e^{\frac{x}{2}}dx
integral of (x^2+1)/(x^2+x-2)
\int\:\frac{x^{2}+1}{x^{2}+x-2}dx
y^'(t)=(y+1)(y-3),y(0)=1
y^{\prime\:}(t)=(y+1)(y-3),y(0)=1
t^3(dy)/(dt)+3t^2y=7cos(t),y(pi)=0
t^{3}\frac{dy}{dt}+3t^{2}y=7\cos(t),y(π)=0
limit as x approaches infinity of-x/s
\lim\:_{x\to\:\infty\:}(-\frac{x}{s})
derivative of 18(2e^{x^2}x^2+e^{x^2})
derivative\:18(2e^{x^{2}}x^{2}+e^{x^{2}})
domain of f(x)=(x-3)/(x+2)
domain\:f(x)=\frac{x-3}{x+2}
derivative of 3^{2x^2}
\frac{d}{dx}(3^{2x^{2}})
(\partial)/(\partial x)(e^{7x^2+5y^2})
\frac{\partial\:}{\partial\:x}(e^{7x^{2}+5y^{2}})
integral of 4csc^2(x)
\int\:4\csc^{2}(x)dx
tangent of f(x)=4x^2-2x+1
tangent\:f(x)=4x^{2}-2x+1
integral of (5x^4)/(1+x^5)
\int\:\frac{5x^{4}}{1+x^{5}}dx
tangent of f(x)=sqrt(2x+1),\at x=3
tangent\:f(x)=\sqrt{2x+1},\at\:x=3
derivative of g(t)=tan(cos(2t))
derivative\:g(t)=\tan(\cos(2t))
slope ofintercept (-1,-1),(1,5)
slopeintercept\:(-1,-1),(1,5)
derivative of (3x-1^4(2x+1)^{-3})
\frac{d}{dx}((3x-1)^{4}(2x+1)^{-3})
xy^'-y=x^2+5x-1
xy^{\prime\:}-y=x^{2}+5x-1
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