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Popular Calculus Problems
sum from n=1 to infinity of n/(2n^3+1)
\sum\:_{n=1}^{\infty\:}\frac{n}{2n^{3}+1}
tangent of 2/(sqrt(x)),\at x= 1/9
tangent\:\frac{2}{\sqrt{x}},\at\:x=\frac{1}{9}
(df)/(dt)+f(t)=t+1
\frac{df}{dt}+f(t)=t+1
derivative of x(2)
\frac{d}{dx}(x(2))
(dy)/(dx)=e^{csc(6x)tan(6x)}
\frac{dy}{dx}=e^{\csc(6x)\tan(6x)}
y^{''}-3y^'+8y=xe^x
y^{\prime\:\prime\:}-3y^{\prime\:}+8y=xe^{x}
y^'+9(tan(9x))y=5cos(9x)
y^{\prime\:}+9(\tan(9x))y=5\cos(9x)
integral of x^5e^{x^{6+1}}
\int\:x^{5}e^{x^{6+1}}dx
(d^2)/(dx^2)((e^x+x^pi)(x^2+x+1))
\frac{d^{2}}{dx^{2}}((e^{x}+x^{π})(x^{2}+x+1))
area y=sqrt(x),y=-x+2,[0,2]
area\:y=\sqrt{x},y=-x+2,[0,2]
area x+y=13,x+7=y^2
area\:x+y=13,x+7=y^{2}
derivative of f(x)=(x^2+4x)/5
derivative\:f(x)=\frac{x^{2}+4x}{5}
limit as x approaches 0-of (11x)/(|x|)
\lim\:_{x\to\:0-}(\frac{11x}{\left|x\right|})
derivative of 100-ln(2x+1)
\frac{d}{dx}(100-\ln(2x+1))
limit as x approaches 0 of+(sqrt(1/x))
\lim\:_{x\to\:0}(+(\sqrt{\frac{1}{x}}))
integral from-1 to 1 of 1/(x^{4/5)}
\int\:_{-1}^{1}\frac{1}{x^{\frac{4}{5}}}dx
derivative of f(x)=((-7)/(sqrt(7x^2+1)))
derivative\:f(x)=(\frac{-7}{\sqrt{7x^{2}+1}})
limit as x approaches 2 of (2+x)/(x-2)
\lim\:_{x\to\:2}(\frac{2+x}{x-2})
area x-2x^2,-5x
area\:x-2x^{2},-5x
y^'=ty^3-y
y^{\prime\:}=ty^{3}-y
limit as x approaches-2 of (3x^2)-6x+2
\lim\:_{x\to\:-2}((3x^{2})-6x+2)
integral from-2 to 2 of sqrt(1+4x^2)
\int\:_{-2}^{2}\sqrt{1+4x^{2}}dx
area y=sqrt(x),y= 1/3 x
area\:y=\sqrt{x},y=\frac{1}{3}x
tangent of y=sqrt(x-8)
tangent\:y=\sqrt{x-8}
sum from n=4 to infinity}(\sqrt{n of)/(n-3)
\sum\:_{n=4}^{\infty\:}\frac{\sqrt{n}}{n-3}
(dy)/(dx)-e^{2x+y}=0
\frac{dy}{dx}-e^{2x+y}=0
derivative of ax^3+bx^2+cx
\frac{d}{dx}(ax^{3}+bx^{2}+cx)
integral of ((x^3+3))/(x^2)
\int\:\frac{(x^{3}+3)}{x^{2}}dx
(\partial ^2)/(\partial x\partial y)(x^2-e^{y^2})
\frac{\partial\:^{2}}{\partial\:x\partial\:y}(x^{2}-e^{y^{2}})
integral from 0 to y^3 of xe^{(-x)/y}
\int\:_{0}^{y^{3}}xe^{\frac{-x}{y}}dx
integral of-2-2/x
\int\:-2-\frac{2}{x}dx
(dy}{dx}=\frac{2x^2)/y
\frac{dy}{dx}=\frac{2x^{2}}{y}
derivative of 2x^{2/3}
\frac{d}{dx}(2x^{\frac{2}{3}})
derivative of sqrt(2+3x)
derivative\:\sqrt{2+3x}
derivative of-9sin(3x)
\frac{d}{dx}(-9\sin(3x))
derivative of tan(pi-9/x)
\frac{d}{dx}(\tan(π-\frac{9}{x}))
derivative of 9x^9e^{x-1}
\frac{d}{dx}(9x^{9}e^{x-1})
integral of 5/(xln(3x))
\int\:\frac{5}{x\ln(3x)}dx
limit as x approaches 6-of 7-x
\lim\:_{x\to\:6-}(7-x)
integral of 1/(x^{-3)}
\int\:\frac{1}{x^{-3}}dx
y^'=(x+y)/x
y^{\prime\:}=\frac{x+y}{x}
derivative of x+a
\frac{d}{dx}(x+a)
derivative of 1-4x+sqrt({f)(x})
\frac{d}{dx}(1-4x+\sqrt{{f}(x)})
tangent of f(x)=2x^2,\at x=-2
tangent\:f(x)=2x^{2},\at\:x=-2
(\partial)/(\partial y)(ln(x+y)-ln(x-y))
\frac{\partial\:}{\partial\:y}(\ln(x+y)-\ln(x-y))
tangent of y=sqrt(4x+48),(4,8)
tangent\:y=\sqrt{4x+48},(4,8)
inverse oflaplace (74)/(s^2+1)
inverselaplace\:\frac{74}{s^{2}+1}
integral of 3cos^3(3x)
\int\:3\cos^{3}(3x)dx
integral from 4 to 5 of xsqrt(x-4)
\int\:_{4}^{5}x\sqrt{x-4}dx
derivative of-0.5x^2+56x+20
\frac{d}{dx}(-0.5x^{2}+56x+20)
derivative of ((4-y))/((2^y+3))
derivative\:\frac{(4-y)}{(2^{y}+3)}
integral of (-3*x+2)*e^{-x}
\int\:(-3\cdot\:x+2)\cdot\:e^{-x}dx
integral of sin^3(3x)cos^{-2}(3x)
\int\:\sin^{3}(3x)\cos^{-2}(3x)dx
derivative of (x/7+7/x ^7)
\frac{d}{dx}((\frac{x}{7}+\frac{7}{x})^{7})
integral of 1/(3x^2-1)
\int\:\frac{1}{3x^{2}-1}dx
sum from i=2 to infinity of 5/(i^2+i-2)
\sum\:_{i=2}^{\infty\:}\frac{5}{i^{2}+i-2}
limit as x approaches 5 of sqrt(2x+3)
\lim\:_{x\to\:5}(\sqrt{2x+3})
laplacetransform 3*cos^2(t)
laplacetransform\:3\cdot\:\cos^{2}(t)
x^'=0.0333333x(30-x)
x^{\prime\:}=0.0333333x(30-x)
limit as x approaches-1 of (x^2-5)/(x+6)
\lim\:_{x\to\:-1}(\frac{x^{2}-5}{x+6})
limit as x approaches 0 of (x+pi)csc(x)
\lim\:_{x\to\:0}((x+π)\csc(x))
integral of 42x(x+12)^5
\int\:42x(x+12)^{5}dx
tangent of f(x)=(5x)/(x-3),\at x=4
tangent\:f(x)=\frac{5x}{x-3},\at\:x=4
(\partial)/(\partial x)(x-y-1)
\frac{\partial\:}{\partial\:x}(x-y-1)
intercepts of f(x)=5x-4
intercepts\:f(x)=5x-4
derivative of y=sqrt(x)+\sqrt[3]{x}
derivative\:y=\sqrt{x}+\sqrt[3]{x}
d/(d{x)}(e^{{x}{y}}ln({z}))
\frac{d}{d{x}}(e^{{x}{y}}\ln({z}))
derivative of p(x)=sqrt(x)-sqrt(1-3x^2)
derivative\:p(x)=\sqrt{x}-\sqrt{1-3x^{2}}
derivative of cot(4x)
derivative\:\cot(4x)
integral of 3e^{sin(x)}cos(x)
\int\:3e^{\sin(x)}\cos(x)dx
tangent of f(x)=x^3+1,(-1,0)
tangent\:f(x)=x^{3}+1,(-1,0)
area 3(x+1),2(x+1),0,7
area\:3(x+1),2(x+1),0,7
derivative of f(x)=(2x+14)/(x+9)
derivative\:f(x)=\frac{2x+14}{x+9}
slope ofintercept (2,-2),(4,1)
slopeintercept\:(2,-2),(4,1)
derivative of f(x)=(5x-2)/(5x)
derivative\:f(x)=\frac{5x-2}{5x}
integral of (-x)
\int\:(-x)dx
limit as x approaches 4+of (-2)/(x^2-16)
\lim\:_{x\to\:4+}(\frac{-2}{x^{2}-16})
derivative of y=arcsin(sqrt(2)*t)
derivative\:y=\arcsin(\sqrt{2}\cdot\:t)
derivative of (ax^2+bx+c*e^{-x/6})
\frac{d}{dx}((ax^{2}+bx+c)\cdot\:e^{-\frac{x}{6}})
integral of xcos(182x)
\int\:x\cos(182x)dx
tangent of f(x)=sin(x)+3,\at x=pi
tangent\:f(x)=\sin(x)+3,\at\:x=π
tangent of 8x*sin(x)
tangent\:8x\cdot\:\sin(x)
integral of x^3+x^{-4}+x^{3/4}
\int\:x^{3}+x^{-4}+x^{\frac{3}{4}}dx
derivative of e^{10x}
derivative\:e^{10x}
y^'-7y=e^x
y^{\prime\:}-7y=e^{x}
limit as x approaches 4 of (-2)/(x^2-16)
\lim\:_{x\to\:4}(\frac{-2}{x^{2}-16})
(\partial)/(\partial x)(xe^{4y}sin(4z))
\frac{\partial\:}{\partial\:x}(xe^{4y}\sin(4z))
limit as x approaches 0+of x-1/x
\lim\:_{x\to\:0+}(x-\frac{1}{x})
limit as h approaches 0 of (e^{ah}-1)/h
\lim\:_{h\to\:0}(\frac{e^{ah}-1}{h})
y^'=3-cos(x)
y^{\prime\:}=3-\cos(x)
derivative of e^{(1/x (ln(1-2x))})
\frac{d}{dx}(e^{(\frac{1}{x})(\ln(1-2x))})
integral of (10)/(4x^3-4x^2+5x)
\int\:\frac{10}{4x^{3}-4x^{2}+5x}dx
derivative of sqrt(1/4 x^2-2x-y)
\frac{d}{dx}(\sqrt{\frac{1}{4}x^{2}-2x-y})
(\partial)/(\partial y)(ln(xy))
\frac{\partial\:}{\partial\:y}(\ln(xy))
integral of x^2sqrt(3-2x)
\int\:x^{2}\sqrt{3-2x}dx
integral of 1/(sqrt((a^2+v^2)))
\int\:\frac{1}{\sqrt{(a^{2}+v^{2})}}dv
y^'+tan(x)y-sin(x)=0
y^{\prime\:}+\tan(x)y-\sin(x)=0
integral of 1/x+2x
\int\:\frac{1}{x}+2xdx
(\partial)/(\partial x)(4sin(4x))
\frac{\partial\:}{\partial\:x}(4\sin(4x))
derivative of arccos(x+y)
\frac{d}{dx}(\arccos(x+y))
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