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Popular Calculus Problems
limit as x approaches infinity of x*(-2)
\lim\:_{x\to\:\infty\:}(x\cdot\:(-2))
derivative of 5sin(5x)
\frac{d}{dx}(5\sin(5x))
limit as x approaches 5 of (sqrt(x+4-3))/(x-5)
\lim\:_{x\to\:5}(\frac{\sqrt{x+4-3}}{x-5})
integral of x^3-4x^2-x+4
\int\:x^{3}-4x^{2}-x+4dx
derivative of 4sin(tan(2x+1))
\frac{d}{dx}(4\sin(\tan(2x+1)))
integral of x*(x+5)^4
\int\:x\cdot\:(x+5)^{4}dx
slope ofintercept (-6.4)(-2.2)
slopeintercept\:(-6.4)(-2.2)
integral of (3x^2+1)^36x
\int\:(3x^{2}+1)^{3}6xdx
integral of (a^2)/(xsqrt(x^2-a^2))
\int\:\frac{a^{2}}{x\sqrt{x^{2}-a^{2}}}dx
integral of (3x-2)e^{3x}
\int\:(3x-2)e^{3x}dx
derivative of-ln(5x^2+7)
\frac{d}{dx}(-\ln(5x^{2}+7))
area x^6,[0,1]
area\:x^{6},[0,1]
integral of x/(sqrt(x+23))
\int\:\frac{x}{\sqrt{x+23}}dx
integral of (11x-15)/(4x^2-3x)
\int\:\frac{11x-15}{4x^{2}-3x}dx
integral of (sin(x))^2(cos(x))^4
\int\:(\sin(x))^{2}(\cos(x))^{4}dx
-y^'-y=e^x
-y^{\prime\:}-y=e^{x}
sum from n=1 to infinity of-1
\sum\:_{n=1}^{\infty\:}-1
(dy)/(dx)=y+2
\frac{dy}{dx}=y+2
f(x)=4sin(2x)-3cos(3x)
f(x)=4\sin(2x)-3\cos(3x)
limit as x approaches pi/2 of sin^2(x)
\lim\:_{x\to\:\frac{π}{2}}(\sin^{2}(x))
integral from 1/5 to 7 of 14xln(5x)
\int\:_{\frac{1}{5}}^{7}14x\ln(5x)dx
factor-sec(x)+2sec^3(x)
factor\:-\sec(x)+2\sec^{3}(x)
integral of 4sin(2x)-3cos(6x)
\int\:4\sin(2x)-3\cos(6x)dx
integral from 0 to pi/3 of 49sin^2(x)
\int\:_{0}^{\frac{π}{3}}49\sin^{2}(x)dx
integral of (x^3-1)/((2x^4-8x)^{3/2)}
\int\:\frac{x^{3}-1}{(2x^{4}-8x)^{\frac{3}{2}}}dx
derivative of 2cos(x+cos^2(x))
\frac{d}{dx}(2\cos(x)+\cos^{2}(x))
(\partial)/(\partial x)((c^2-x^2)/(2x))
\frac{\partial\:}{\partial\:x}(\frac{c^{2}-x^{2}}{2x})
integral of 1/((x^2+25)^{5/2)}
\int\:\frac{1}{(x^{2}+25)^{\frac{5}{2}}}dx
f(t)=e^{tan(pit)}
f(t)=e^{\tan(πt)}
derivative of y=(6x^2+2x+6)/(sqrt(x))
derivative\:y=\frac{6x^{2}+2x+6}{\sqrt{x}}
(dy)/(dx)-2xy=10x
\frac{dy}{dx}-2xy=10x
(\partial)/(\partial y)(x^2+xy+y^2+2x-y)
\frac{\partial\:}{\partial\:y}(x^{2}+xy+y^{2}+2x-y)
(\partial)/(\partial x)(3xy)
\frac{\partial\:}{\partial\:x}(3xy)
integral of cos(4x)cos(6x)
\int\:\cos(4x)\cos(6x)dx
integral of 1/((x^2+R^2)^{3/2)}
\int\:\frac{1}{(x^{2}+R^{2})^{\frac{3}{2}}}dx
2y+xy^'=0
2y+xy^{\prime\:}=0
derivative of 2/(x^3-3/(x^2))
\frac{d}{dx}(\frac{2}{x^{3}}-\frac{3}{x^{2}})
derivative of 2/((x^2+x+1^2))
\frac{d}{dx}(\frac{2}{(x^{2}+x+1)^{2}})
(\partial)/(\partial y)(2y+1)
\frac{\partial\:}{\partial\:y}(2y+1)
derivative of (t+1)^3sqrt(t^2+84)
derivative\:(t+1)^{3}\sqrt{t^{2}+84}
derivative of x^2arctan(2x)
derivative\:x^{2}\arctan(2x)
taylor e^{x-1},1
taylor\:e^{x-1},1
derivative of f(x)=(4x^2)/((x^2+x)^3)
derivative\:f(x)=\frac{4x^{2}}{(x^{2}+x)^{3}}
integral of sin(16x)cos(9x)
\int\:\sin(16x)\cos(9x)dx
(\partial)/(\partial x)(pi(x/2)^2h)
\frac{\partial\:}{\partial\:x}(π(\frac{x}{2})^{2}h)
integral of (cos(pi/(x^{49)}))/(x^{50)}
\int\:\frac{\cos(\frac{π}{x^{49}})}{x^{50}}dx
integral of (-(arccot(t))^5)/(1+t^2)
\int\:\frac{-(\arccot(t))^{5}}{1+t^{2}}dt
6y^'+ty=7
6y^{\prime\:}+ty=7
integral from-2 to 2 of x^4
\int\:_{-2}^{2}x^{4}dx
derivative of 3xln(6x)-3x
derivative\:3x\ln(6x)-3x
integral of 1/2 xe^x
\int\:\frac{1}{2}xe^{x}dx
limit as x approaches-1 of x^2-4+(x^2-9)^{1/3}
\lim\:_{x\to\:-1}(x^{2}-4+(x^{2}-9)^{\frac{1}{3}})
sum from n=0 to infinity of n(n-1)x^n
\sum\:_{n=0}^{\infty\:}n(n-1)x^{n}
derivative of y=5e^x+2/(\sqrt[3]{x)}
derivative\:y=5e^{x}+\frac{2}{\sqrt[3]{x}}
integral of 4/(x^{-1)+1}
\int\:\frac{4}{x^{-1}+1}dx
integral from-2 to-1 of (-2x+1)
\int\:_{-2}^{-1}(-2x+1)dx
integral from-1 to 0 of pi(1-x^2)^2
\int\:_{-1}^{0}π(1-x^{2})^{2}dx
tangent of f(x)=2x^3-x^2+3,(2,15)
tangent\:f(x)=2x^{3}-x^{2}+3,(2,15)
sum from n=1 to infinity of (x^n)/(n!)
\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{n!}
integral of (30)/(1-cos(5x))
\int\:\frac{30}{1-\cos(5x)}dx
integral of (x^6)/(sqrt(x^{14)-1)}
\int\:\frac{x^{6}}{\sqrt{x^{14}-1}}dx
(15y^2-xy)dx+x^2dy=0
(15y^{2}-xy)dx+x^{2}dy=0
integral from 0 to 1 of 3
\int\:_{0}^{1}3dx
derivative of ((e^x))/(9x^2)
derivative\:\frac{(e^{x})}{9x^{2}}
xy^'-2y=2x^2+x+2
xy^{\prime\:}-2y=2x^{2}+x+2
integral of x^3(x+1)
\int\:x^{3}(x+1)dx
limit as x approaches o of 2x-1
\lim\:_{x\to\:o}(2x-1)
integral of 3/4 x
\int\:\frac{3}{4}xdx
(\partial)/(\partial z)(e^{xy}-z)
\frac{\partial\:}{\partial\:z}(e^{xy}-z)
d/(dt)(infinity (t)+sqrt(ln(t)+1))
\frac{d}{dt}(\infty\:(t)+\sqrt{\ln(t)+1})
(\partial)/(\partial y)(y/(x^2+y^2+z^2))
\frac{\partial\:}{\partial\:y}(\frac{y}{x^{2}+y^{2}+z^{2}})
integral of 1/(sqrt(2x^2+x))
\int\:\frac{1}{\sqrt{2x^{2}+x}}dx
derivative of (cos(x)^{sin(x)})
\frac{d}{dx}((\cos(x))^{\sin(x)})
area e^x,14e^{-x}+5,x=0
area\:e^{x},14e^{-x}+5,x=0
integral of x(4x^2+8)
\int\:x(4x^{2}+8)dx
integral of xsqrt(1-x^4)
\int\:x\sqrt{1-x^{4}}dx
tangent of f(x)=sqrt(2x),\at x=8
tangent\:f(x)=\sqrt{2x},\at\:x=8
integral from 0 to 1 of 2(x^2+1)e^{-x}
\int\:_{0}^{1}2(x^{2}+1)e^{-x}dx
integral of 4cos(8x)
\int\:4\cos(8x)dx
derivative of (1-x^2/((1+x^2)^2))
\frac{d}{dx}(\frac{1-x^{2}}{(1+x^{2})^{2}})
(d^2y)/(dx^2)-(dy)/(dx)-2y=e^{2x}
\frac{d^{2}y}{dx^{2}}-\frac{dy}{dx}-2y=e^{2x}
integral of x*5^x
\int\:x\cdot\:5^{x}dx
inverse oflaplace (e^{-s})/(s-1)
inverselaplace\:\frac{e^{-s}}{s-1}
laplacetransform-4t^2+15t+8
laplacetransform\:-4t^{2}+15t+8
integral of (5x^2+1)^2(10x)
\int\:(5x^{2}+1)^{2}(10x)dx
derivative of x/((x+y^2))
\frac{d}{dx}(\frac{x}{(x+y)^{2}})
derivative of sqrt(x^2+x)
\frac{d}{dx}(\sqrt{x^{2}+x})
derivative of 4cos^2(pi/4-x)
derivative\:4\cos^{2}(\frac{π}{4}-x)
limit as x approaches 0+of e^{csc(x)}
\lim\:_{x\to\:0+}(e^{\csc(x)})
integral of e^{3x}cos(7x)
\int\:e^{3x}\cos(7x)dx
y^'=e^{-t+3y}
y^{\prime\:}=e^{-t+3y}
derivative of (x^2+3x+2)/x
derivative\:\frac{x^{2}+3x+2}{x}
derivative of tan^2(1+x)
\frac{d}{dx}(\tan^{2}(1+x))
integral of 2te^{-st}
\int\:2te^{-st}dt
derivative of 3x-sin^2(x)
\frac{d}{dx}(3x-\sin^{2}(x))
integral of x^2e^{8x}
\int\:x^{2}e^{8x}dx
integral from 0 to 6 of 1/(x^2-36)
\int\:_{0}^{6}\frac{1}{x^{2}-36}dx
integral of e^xx-e^x
\int\:e^{x}x-e^{x}dx
limit as x approaches 5 of x^3
\lim\:_{x\to\:5}(x^{3})
integral of 1/(x^2-2x+5)
\int\:\frac{1}{x^{2}-2x+5}dx
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