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Popular Calculus Problems
integral from-1 to 2 of sqrt(5x+6)
\int\:_{-1}^{2}\sqrt{5x+6}dx
sum from n=1 to infinity of (-2)^n(x)^n
\sum\:_{n=1}^{\infty\:}(-2)^{n}(x)^{n}
y^{''}+8y^'-20y=0
y^{\prime\:\prime\:}+8y^{\prime\:}-20y=0
derivative of \sqrt[3]{(x-3^3(x+5)})
\frac{d}{dx}(\sqrt[3]{(x-3)^{3}(x+5)})
(\partial)/(\partial y)(sin(x-y)+(x+y))
\frac{\partial\:}{\partial\:y}(\sin(x-y)+(x+y))
(dy)/(dx)=sqrt(6y)e^{x+4}
\frac{dy}{dx}=\sqrt{6y}e^{x+4}
derivative of t^2+2t-3
derivative\:t^{2}+2t-3
(\partial}{\partial x}(\frac{(x-y))/x)
\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{x})
sum from n=1 to infinity of 2/(3n+9)
\sum\:_{n=1}^{\infty\:}\frac{2}{3n+9}
integral from ln(x) to 1 of sin^3(u)
\int\:_{\ln(x)}^{1}\sin^{3}(u)du
area y=x^3-12x^2+32x,-x^3+12x^2-32x
area\:y=x^{3}-12x^{2}+32x,-x^{3}+12x^{2}-32x
integral of e^{x/(sqrt(y))}
\int\:e^{\frac{x}{\sqrt{y}}}dx
limit as x approaches 2 of sin(2/(x-2))
\lim\:_{x\to\:2}(\sin(\frac{2}{x-2}))
integral of ((x+3)/(2^x)-sqrt(3))
\int\:(\frac{x+3}{2^{x}}-\sqrt{3})dx
integral of-1/2 cos(2x)+C
\int\:-\frac{1}{2}\cos(2x)+Cdx
derivative of x^4e^{6x}
derivative\:x^{4}e^{6x}
(d^3y)/(dx^3)+(d^2y)/(dx^2)-2y=0
\frac{d^{3}y}{dx^{3}}+\frac{d^{2}y}{dx^{2}}-2y=0
integral of cos(n)x
\int\:\cos(n)xdx
tangent of y=2sqrt(x^3)-x^2+4/x ,(4,1)
tangent\:y=2\sqrt{x^{3}}-x^{2}+\frac{4}{x},(4,1)
xy^{''}+y^'=4x
xy^{\prime\:\prime\:}+y^{\prime\:}=4x
y^'=2(1+y^2)
y^{\prime\:}=2(1+y^{2})
limit as x approaches 0-of 5/(2x)
\lim\:_{x\to\:0-}(\frac{5}{2x})
derivative of e^x+xe^x
derivative\:e^{x}+xe^{x}
integral of (4sqrt(x)-3x^5+(1.5)^x)
\int\:(4\sqrt{x}-3x^{5}+(1.5)^{x})dx
tangent of y=x^4+2e^x,(0,2)
tangent\:y=x^{4}+2e^{x},(0,2)
derivative of f(x)=e^0(8-7(0)+5(0)^2)
derivative\:f(x)=e^{0}(8-7(0)+5(0)^{2})
derivative of 5e
\frac{d}{dx}(5e)
(\partial)/(\partial y)((e^x+e^y)^3)
\frac{\partial\:}{\partial\:y}((e^{x}+e^{y})^{3})
parity y=2tan(cos(3x))+(sin(x^3))/(x^2)
parity\:y=2\tan(\cos(3x))+\frac{\sin(x^{3})}{x^{2}}
limit as x approaches 7-of (x+8)/(x-7)
\lim\:_{x\to\:7-}(\frac{x+8}{x-7})
integral of 4sin(3x)
\int\:4\sin(3x)dx
integral from 0 to 0.5 of 200x
\int\:_{0}^{0.5}200xdx
derivative of x^2(3-x^3)
\frac{d}{dx}(x^{2}(3-x)^{3})
(\partial)/(\partial x)(e^xtan(x-y))
\frac{\partial\:}{\partial\:x}(e^{x}\tan(x-y))
integral of (cos(x))/(6-sin(x))
\int\:\frac{\cos(x)}{6-\sin(x)}dx
integral of (25x^2)/((x-3)(x+2)^2)
\int\:\frac{25x^{2}}{(x-3)(x+2)^{2}}dx
integral of xarctan(x)
\int\:x\arctan(x)dx
limit as x approaches 1+of ln(ln(x))
\lim\:_{x\to\:1+}(\ln(\ln(x)))
derivative of e^{-10x}
\frac{d}{dx}(e^{-10x})
integral of (3x+2)(3x^2+4x)^4
\int\:(3x+2)(3x^{2}+4x)^{4}dx
limit as x approaches-infinity of 5^x
\lim\:_{x\to\:-\infty\:}(5^{x})
derivative of ln(sqrt(((x+2))/(x-2)))
derivative\:\ln(\sqrt{\frac{(x+2)}{x-2}})
integral of (2x^3)/(x^2+x)
\int\:\frac{2x^{3}}{x^{2}+x}dx
integral of ((x^2))/(sqrt(16-x^2))
\int\:\frac{(x^{2})}{\sqrt{16-x^{2}}}dx
integral of (e^x)/(sqrt(e^{2x)-e^x)}
\int\:\frac{e^{x}}{\sqrt{e^{2x}-e^{x}}}dx
integral of (3cos(ln|x|))/x
\int\:\frac{3\cos(\ln\left|x\right|)}{x}dx
limit as x approaches 0 of xtan(x)
\lim\:_{x\to\:0}(x\tan(x))
derivative of (x^6+3x^2+50)/(x^2+1)
derivative\:\frac{x^{6}+3x^{2}+50}{x^{2}+1}
derivative of f(x)=(2x)/((x^3-9)^2)
derivative\:f(x)=\frac{2x}{(x^{3}-9)^{2}}
derivative of cot(6x)
\frac{d}{dx}(\cot(6x))
tangent of f(x)=sqrt(7x+11),(2,5)
tangent\:f(x)=\sqrt{7x+11},(2,5)
y^'=ty-2t-2
y^{\prime\:}=ty-2t-2
(\partial)/(\partial x)(x/(2y))
\frac{\partial\:}{\partial\:x}(\frac{x}{2y})
y^{''}+4y^'+20y=-3sin(2x)
y^{\prime\:\prime\:}+4y^{\prime\:}+20y=-3\sin(2x)
derivative of (ln(x^2+1)/(3x+1))
\frac{d}{dx}(\frac{\ln(x^{2}+1)}{3x+1})
1+ln(x)+y/x dx=(8-ln(x))dy
1+\ln(x)+\frac{y}{x}dx=(8-\ln(x))dy
derivative of xsin(x+y)
\frac{d}{dx}(x\sin(x+y))
integral of x/(sqrt(x^2+2x+25))
\int\:\frac{x}{\sqrt{x^{2}+2x+25}}dx
integral of (5x+7)/(4x^2+12x+10)
\int\:\frac{5x+7}{4x^{2}+12x+10}dx
derivative of f(t)=((e^x+5x))/(5x)
derivative\:f(t)=\frac{(e^{x}+5x)}{5x}
area x^2+2,2x+6
area\:x^{2}+2,2x+6
integral of 10tan^2(x)
\int\:10\tan^{2}(x)dx
integral of 14x-3
\int\:14x-3dx
derivative of-sin(pix)(pi^2)
derivative\:-\sin(πx)(π^{2})
derivative of 5500(1-1/50 t)^2
derivative\:5500(1-\frac{1}{50}t)^{2}
limit as x approaches infinity of-11
\lim\:_{x\to\:\infty\:}(-11)
(\partial)/(\partial x)(2+x+ye^y)
\frac{\partial\:}{\partial\:x}(2+x+ye^{y})
integral of (8-8x)/(1-sqrt(x))
\int\:\frac{8-8x}{1-\sqrt{x}}dx
limit as x approaches 0 of x+1/x
\lim\:_{x\to\:0}(x+\frac{1}{x})
slope of y=ln(x^3)x=12
slope\:y=\ln(x^{3})x=12
tangent of y=((x+2)/(x-2))^2,(6,4)
tangent\:y=(\frac{x+2}{x-2})^{2},(6,4)
integral from 0 to pi/2 of sin(2t)
\int\:_{0}^{\frac{π}{2}}\sin(2t)dt
integral from 0 to 4 of x+1
\int\:_{0}^{4}x+1dx
limit as x approaches 9 of 3-sqrt(x)
\lim\:_{x\to\:9}(3-\sqrt{x})
derivative of sqrt(4x^3-7x^2)
\frac{d}{dx}(\sqrt{4x^{3}-7x^{2}})
area y=6-2x,y=2,x=0
area\:y=6-2x,y=2,x=0
derivative of (4x-5/(3x+2))
\frac{d}{dx}(\frac{4x-5}{3x+2})
(\partial)/(\partial x)(e^{-3x^2-5y^2})
\frac{\partial\:}{\partial\:x}(e^{-3x^{2}-5y^{2}})
integral of (-2ln(x))/(x^2)
\int\:\frac{-2\ln(x)}{x^{2}}dx
integral of (e^{-x}(3-3xln(x)))/(2x)
\int\:\frac{e^{-x}(3-3x\ln(x))}{2x}dx
integral of 1/(3-(x-2)^2)
\int\:\frac{1}{3-(x-2)^{2}}dx
integral of 4-|x|
\int\:4-\left|x\right|dx
integral from-1 to 1 of sqrt(x+1)-1
\int\:_{-1}^{1}\sqrt{x+1}-1dx
integral from-3 to 2 of |x+1|
\int\:_{-3}^{2}\left|x+1\right|dx
limit as x approaches 1 of (2x)/(ln(x))
\lim\:_{x\to\:1}(\frac{2x}{\ln(x)})
derivative of f(x)=sqrt(6-x)
derivative\:f(x)=\sqrt{6-x}
integral from 0 to 2 of e^{x/2}
\int\:_{0}^{2}e^{\frac{x}{2}}dx
(dy)/(dx)=(xy^3)/(sqrt(1+x^2))
\frac{dy}{dx}=\frac{xy^{3}}{\sqrt{1+x^{2}}}
integral of 4-4x
\int\:4-4xdx
(dy)/y-4xdx=0
\frac{dy}{y}-4xdx=0
derivative of f(x)=xln(x)
derivative\:f(x)=x\ln(x)
area x^3,x^2+x,-1,1.5
area\:x^{3},x^{2}+x,-1,1.5
taylor (x^2+1/4)^{3/2}
taylor\:(x^{2}+\frac{1}{4})^{\frac{3}{2}}
integral of 8x^{3/5}+7x^{-4/5}
\int\:8x^{\frac{3}{5}}+7x^{-\frac{4}{5}}dx
laplacetransform 1+e^{-t}
laplacetransform\:1+e^{-t}
derivative of (4x-3)/(sqrt(x))
derivative\:\frac{4x-3}{\sqrt{x}}
y^{''}-3/x y^'-4/(x^2)y=0
y^{\prime\:\prime\:}-\frac{3}{x}y^{\prime\:}-\frac{4}{x^{2}}y=0
(\partial)/(\partial x)(17x^3y^2)
\frac{\partial\:}{\partial\:x}(17x^{3}y^{2})
derivative of e^x(5x^2-2x+3)
\frac{d}{dx}(e^{x}(5x^{2}-2x+3))
(dy)/(dx)=(ysin(x))/(1-2y)
\frac{dy}{dx}=\frac{y\sin(x)}{1-2y}
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