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Popular Calculus Problems
integral from 0 to 15 of xsqrt(15-x)
\int\:_{0}^{15}x\sqrt{15-x}dx
integral of 10sqrt(x)
\int\:10\sqrt{x}dx
integral of-8/x
\int\:-\frac{8}{x}dx
y^{''}-5y^'+6y=e^{2x}
y^{\prime\:\prime\:}-5y^{\prime\:}+6y=e^{2x}
integral of 9x^2-4x
\int\:9x^{2}-4xdx
(\partial)/(\partial x)(1+ln(x))
\frac{\partial\:}{\partial\:x}(1+\ln(x))
s(t)=(t^2+40t)/5
s(t)=\frac{t^{2}+40t}{5}
(\partial)/(\partial x)(e^{(x^2-y^2)})
\frac{\partial\:}{\partial\:x}(e^{(x^{2}-y^{2})})
(36-x^2)(dy)/(dx)=1
(36-x^{2})\frac{dy}{dx}=1
integral of 9ln(x^2-1)
\int\:9\ln(x^{2}-1)dx
y^'+y/x =(y^2)/x
y^{\prime\:}+\frac{y}{x}=\frac{y^{2}}{x}
derivative of x^4-5x^2+4
\frac{d}{dx}(x^{4}-5x^{2}+4)
derivative of y= 4/((4-x^4)^{3/2)}
derivative\:y=\frac{4}{(4-x^{4})^{\frac{3}{2}}}
integral from 0 to pi/2 of 9(cos(x))^2
\int\:_{0}^{\frac{π}{2}}9(\cos(x))^{2}dx
derivative of x^3+3x^2-24x
\frac{d}{dx}(x^{3}+3x^{2}-24x)
area sqrt(4x+4),4x-16,[-1,5.25]
area\:\sqrt{4x+4},4x-16,[-1,5.25]
limit as x approaches-9 of (|x+9|)/(x+9)
\lim\:_{x\to\:-9}(\frac{\left|x+9\right|}{x+9})
derivative of 3csc(x-5sec(x))
\frac{d}{dx}(3\csc(x)-5\sec(x))
limit as x approaches 0 of 2^{1/x}
\lim\:_{x\to\:0}(2^{\frac{1}{x}})
integral of-1/(x+8)+9/(x-4)
\int\:-\frac{1}{x+8}+\frac{9}{x-4}dx
f(x)=-1/(x^2)
f(x)=-\frac{1}{x^{2}}
derivative of x^{-5cos(x})
\frac{d}{dx}(x^{-5\cos(x)})
limit as x approaches 1 of 4x^2+2x+5
\lim\:_{x\to\:1}(4x^{2}+2x+5)
derivative of-3ln(x)
\frac{d}{dx}(-3\ln(x))
integral of tsin(t/2)
\int\:t\sin(\frac{t}{2})dt
integral of (x+5)/(x^2+4)
\int\:\frac{x+5}{x^{2}+4}dx
integral from 0 to 1 of 1/(x^2-1)
\int\:_{0}^{1}\frac{1}{x^{2}-1}dx
integral of (e^{-x})/1
\int\:\frac{e^{-x}}{1}dx
slope of (-8,-3),(-12,-3)
slope\:(-8,-3),(-12,-3)
(\partial)/(\partial x)(7x-y)
\frac{\partial\:}{\partial\:x}(7x-y)
2y(dy)/(dx)+2=y^2+2x
2y\frac{dy}{dx}+2=y^{2}+2x
(dy)/(dx)= x/y
\frac{dy}{dx}=\frac{x}{y}
y^{''}+8y^'+20y=40,y(0)=0,y^'(0)=0
y^{\prime\:\prime\:}+8y^{\prime\:}+20y=40,y(0)=0,y^{\prime\:}(0)=0
integral of csc(t)
\int\:\csc(t)dt
(d^2y)/(dx^2)-6(dy)/(dx)+9y=xe^x
\frac{d^{2}y}{dx^{2}}-6\frac{dy}{dx}+9y=xe^{x}
tangent of f(x)=2x^3-8x,(-2,0)
tangent\:f(x)=2x^{3}-8x,(-2,0)
integral of ((4x+3)*(2x^2+3x)^3)
\int\:((4x+3)\cdot\:(2x^{2}+3x)^{3})dx
f(x)=sqrt(x)*sin(x)
f(x)=\sqrt{x}\cdot\:\sin(x)
derivative of (8x^2+2x+8/(sqrt(x)))
\frac{d}{dx}(\frac{8x^{2}+2x+8}{\sqrt{x}})
limit as x approaches+0 of xsin(3/x)
\lim\:_{x\to\:+0}(x\sin(\frac{3}{x}))
derivative of (3-1/x /(x+5))
\frac{d}{dx}(\frac{3-\frac{1}{x}}{x+5})
integral of sqrt(x^2-2x+1)
\int\:\sqrt{x^{2}-2x+1}dx
derivative of x*e^{x^2}
\frac{d}{dx}(x\cdot\:e^{x^{2}})
integral of (cot(x))/(sqrt(sin(x)))
\int\:\frac{\cot(x)}{\sqrt{\sin(x)}}dx
derivative of csc(e^{2x})
derivative\:\csc(e^{2x})
1/(p-p^2)dp=dt
\frac{1}{p-p^{2}}dp=dt
area 5x-x^2,x,[0,4]
area\:5x-x^{2},x,[0,4]
(dy)/(dx)=(e^{2x})/(6y^5)
\frac{dy}{dx}=\frac{e^{2x}}{6y^{5}}
integral from 1 to 2 of 7r^2ln(r)
\int\:_{1}^{2}7r^{2}\ln(r)dr
integral from 0 to pi of pisin^2(x)
\int\:_{0}^{π}π\sin^{2}(x)dx
integral of x^2(x-9)^{12}
\int\:x^{2}(x-9)^{12}dx
simplify d/(dd)(-d^2+2d+10)
simplify\:\frac{d}{dd}(-d^{2}+2d+10)
integral of (e^xsin(x))
\int\:(e^{x}\sin(x))dx
sqrt(1-5x^2)y^'=x
\sqrt{1-5x^{2}}y^{\prime\:}=x
integral from 0 to 15 of 24/25 piy^2
\int\:_{0}^{15}\frac{24}{25}πy^{2}dy
(\partial)/(\partial x)(2sin(4x))
\frac{\partial\:}{\partial\:x}(2\sin(4x))
(dy)/(dx)=(x)
\frac{dy}{dx}=(x)
limit as x approaches 0 of+(x^{sin(x)})
\lim\:_{x\to\:0}(+(x^{\sin(x)}))
y^{''}+18y^'+82y=0
y^{\prime\:\prime\:}+18y^{\prime\:}+82y=0
integral from 0 to 2 of 2pi(y+1)(1)
\int\:_{0}^{2}2π(y+1)(1)dy
derivative of f(x)=x^{6/7}
derivative\:f(x)=x^{\frac{6}{7}}
tangent of f(x)= 3/(x^{1/2)},(1,3)
tangent\:f(x)=\frac{3}{x^{\frac{1}{2}}},(1,3)
sum from n=1 to infinity of (4/5)^n
\sum\:_{n=1}^{\infty\:}(\frac{4}{5})^{n}
integral from 7 to 8 of 7/(50+x^2-14x)
\int\:_{7}^{8}\frac{7}{50+x^{2}-14x}dx
integral of 2x^{5/2}
\int\:2x^{\frac{5}{2}}dx
limit as x approaches 5 of sqrt(f(x))
\lim\:_{x\to\:5}(\sqrt{f(x)})
derivative of y=x^{7x}
derivative\:y=x^{7x}
taylor e^{-2x},2
taylor\:e^{-2x},2
(dy)/(dx)= x/y ,y(0)=-3
\frac{dy}{dx}=\frac{x}{y},y(0)=-3
integral of 1/(2x^2-5)
\int\:\frac{1}{2x^{2}-5}dx
derivative of (e^x)/(e^x+7)
derivative\:\frac{e^{x}}{e^{x}+7}
inverse oflaplace (se^{-3s})/((s-4)^3)
inverselaplace\:\frac{se^{-3s}}{(s-4)^{3}}
derivative of sin(13x)
\frac{d}{dx}(\sin(13x))
(\partial)/(\partial h)(1/3 pir^2h)
\frac{\partial\:}{\partial\:h}(\frac{1}{3}πr^{2}h)
derivative of-x^2+x
\frac{d}{dx}(-x^{2}+x)
derivative of f(t)=t^2+4t
derivative\:f(t)=t^{2}+4t
integral of 1/((1+y)^2)
\int\:\frac{1}{(1+y)^{2}}dy
integral from-1 to 1 of 5^x
\int\:_{-1}^{1}5^{x}dx
limit as x approaches 0-of 1/(x^2)
\lim\:_{x\to\:0-}(\frac{1}{x^{2}})
integral of ((ln(x))^6)/x
\int\:\frac{(\ln(x))^{6}}{x}dx
laplacetransform t*e^{-4t}cos(5t)
laplacetransform\:t\cdot\:e^{-4t}\cos(5t)
derivative of cot^2(x)
derivative\:\cot^{2}(x)
expand x^{2/3}(1-x)
expand\:x^{\frac{2}{3}}(1-x)
area y= 1/x ,(1,4)
area\:y=\frac{1}{x},(1,4)
derivative of-e^xsin(y)
\frac{d}{dx}(-e^{x}\sin(y))
integral of ln^2(x+sqrt(x^2+1))
\int\:\ln^{2}(x+\sqrt{x^{2}+1})dx
tangent of f(x)= 1/(x^2),(3, 1/9)
tangent\:f(x)=\frac{1}{x^{2}},(3,\frac{1}{9})
derivative of sin^8(cos(2x))
derivative\:\sin^{8}(\cos(2x))
derivative of f(x)=sin(x)+xcos(x)
derivative\:f(x)=\sin(x)+x\cos(x)
derivative of 2\sqrt[3]{x^4}
\frac{d}{dx}(2\sqrt[3]{x^{4}})
integral of 9sin^3(x)cos^7(x)
\int\:9\sin^{3}(x)\cos^{7}(x)dx
integral from 0 to infinity of x
\int\:_{0}^{\infty\:}xdx
derivative of axe^{-5x}
\frac{d}{dx}(axe^{-5x})
integral of 4sin(2x)
\int\:4\sin(2x)dx
derivative of (x+pi^2)
\frac{d}{dx}((x+π)^{2})
derivative of x^3ln(1+x^2)
\frac{d}{dx}(x^{3}\ln(1+x^{2}))
integral from 0 to 3 of (x-2)/(x^2-3x-4)
\int\:_{0}^{3}\frac{x-2}{x^{2}-3x-4}dx
xy^6y^'=x^7+y^7
xy^{6}y^{\prime\:}=x^{7}+y^{7}
integral from 1 to 4 of 5/(x^2+4x+4)
\int\:_{1}^{4}\frac{5}{x^{2}+4x+4}dx
(\partial)/(\partial x)(4x^3y^2+1)
\frac{\partial\:}{\partial\:x}(4x^{3}y^{2}+1)
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