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Popular Calculus Problems
integral of 1/(5cos(x)-4)
\int\:\frac{1}{5\cos(x)-4}dx
integral of x^2*log_{e}(x)
\int\:x^{2}\cdot\:\log_{e}(x)dx
limit as x approaches-3 of-x^2
\lim\:_{x\to\:-3}(-x^{2})
(\partial)/(\partial x)((x+y+z)^2)
\frac{\partial\:}{\partial\:x}((x+y+z)^{2})
integral from 0 to 4 of tsqrt(16-3t)
\int\:_{0}^{4}t\sqrt{16-3t}dt
integral of 3x^24x^4
\int\:3x^{2}4x^{4}dx
limit as x approaches 0 of 4-5x
\lim\:_{x\to\:0}(4-5x)
derivative of f(x)=x^2-5,c=3
derivative\:f(x)=x^{2}-5,c=3
integral from-2 to 3 of (24)/(x^4)
\int\:_{-2}^{3}\frac{24}{x^{4}}dx
xy^'-3y^2=0,y(e)=1
xy^{\prime\:}-3y^{2}=0,y(e)=1
integral of-e^{2x}sin(e^x)
\int\:-e^{2x}\sin(e^{x})dx
derivative of ln(sqrt(x+7))
derivative\:\ln(\sqrt{x+7})
derivative of | x/3-1|
\frac{d}{dx}(\left|\frac{x}{3}-1\right|)
(\partial)/(\partial x)(x^3e^{2xy})
\frac{\partial\:}{\partial\:x}(x^{3}e^{2xy})
integral from-2 to 6 of x^2\sqrt[3]{x+2}
\int\:_{-2}^{6}x^{2}\sqrt[3]{x+2}dx
integral of-(4cos(t))/(3-10sin(t))
\int\:-\frac{4\cos(t)}{3-10\sin(t)}dt
integral of (2x-5)^{1/2}
\int\:(2x-5)^{\frac{1}{2}}dx
derivative of 2/(\sqrt[3]{x)}
derivative\:\frac{2}{\sqrt[3]{x}}
derivative of f(x)=ln(x^6e^x)
derivative\:f(x)=\ln(x^{6}e^{x})
integral from 1 to 27 of \sqrt[3]{x}-1/x
\int\:_{1}^{27}\sqrt[3]{x}-\frac{1}{x}dx
integral of sqrt(24+2x-x^2)
\int\:\sqrt{24+2x-x^{2}}dx
tangent of y=(6x)/(x^2+1),(0,0)
tangent\:y=\frac{6x}{x^{2}+1},(0,0)
integral from 0 to 4 of (3x-(x^3)/4)
\int\:_{0}^{4}(3x-\frac{x^{3}}{4})dx
integral from 0 to pia of x^2sin^2(x)
\int\:_{0}^{πa}x^{2}\sin^{2}(x)dx
derivative of (9x^{5/2}-2/x)
\frac{d}{dx}(\frac{9x^{\frac{5}{2}}-2}{x})
d/(dy)(ye^y)
\frac{d}{dy}(ye^{y})
integral of (sin(6/x))/(x^2)
\int\:\frac{\sin(\frac{6}{x})}{x^{2}}dx
(\partial)/(\partial y)(sqrt(2x^2+e^{2y)})
\frac{\partial\:}{\partial\:y}(\sqrt{2x^{2}+e^{2y}})
integral of (x^3-1)/(4x^3-x)
\int\:\frac{x^{3}-1}{4x^{3}-x}dx
integral of 8sin^2(xco)s^2x
\int\:8\sin^{2}(xco)s^{2}xdx
integral from-1 to 3 of (6y)/(y^2-2y-8)
\int\:_{-1}^{3}\frac{6y}{y^{2}-2y-8}dy
integral of (u-1)/u
\int\:\frac{u-1}{u}du
area y= 1/x ,y= 1/3 ,1,3
area\:y=\frac{1}{x},y=\frac{1}{3},1,3
integral of 1/(x^2+2x-3)
\int\:\frac{1}{x^{2}+2x-3}dx
derivative of (x^6/6)
\frac{d}{dx}(\frac{x^{6}}{6})
parity y=cot^2(sin(θ))
parity\:y=\cot^{2}(\sin(θ))
derivative of (x^2/(2x+1))
\frac{d}{dx}(\frac{x^{2}}{2x+1})
3y^{''}+13y^'+4y=0
3y^{\prime\:\prime\:}+13y^{\prime\:}+4y=0
integral of (e^{2x})/(49+e^{4x)}
\int\:\frac{e^{2x}}{49+e^{4x}}dx
(2y-9)dx+xdy=0
(2y-9)dx+xdy=0
integral of 1/(x^{1/3)+x^{1/4}}
\int\:\frac{1}{x^{\frac{1}{3}}+x^{\frac{1}{4}}}dx
derivative of (6x-2)/(5\sqrt[5]{x^4)}
derivative\:\frac{6x-2}{5\sqrt[5]{x^{4}}}
derivative of 75.6x+(36590.4)/(x^2)
derivative\:75.6x+\frac{36590.4}{x^{2}}
integral of 1/(x^3-x^2)
\int\:\frac{1}{x^{3}-x^{2}}dx
integral of e^{cos(29t)}sin(29t)
\int\:e^{\cos(29t)}\sin(29t)dt
derivative of 4/(\sqrt[3]{x})
\frac{d}{dx}(\frac{4}{\sqrt[3]{x}})
integral of (3x^3)/(sqrt(1-x^2))
\int\:\frac{3x^{3}}{\sqrt{1-x^{2}}}dx
derivative of f(x)=-x+6/x+1
derivative\:f(x)=-x+\frac{6}{x}+1
inverse oflaplace (s-1)/(s^2-2s+5)
inverselaplace\:\frac{s-1}{s^{2}-2s+5}
integral of 4/t
\int\:\frac{4}{t}dt
2y^{''}+32y=0
2y^{\prime\:\prime\:}+32y=0
tangent of y=x^3-6x^2+7x+3
tangent\:y=x^{3}-6x^{2}+7x+3
integral of ((e^x-e^{-x}))/(e^x+e^{-x)}
\int\:\frac{(e^{x}-e^{-x})}{e^{x}+e^{-x}}dx
(xdy)/(dx)=5xe^x-y+9x^2
\frac{xdy}{dx}=5xe^{x}-y+9x^{2}
integral of 5x^2e^{6x}
\int\:5x^{2}e^{6x}dx
integral of sec(t)
\int\:\sec(t)dt
implicit (dy)/(dx),4xy=3
implicit\:\frac{dy}{dx},4xy=3
d/(dt)(-2asin(2t)+bcos(2t)*2)
\frac{d}{dt}(-2a\sin(2t)+b\cos(2t)\cdot\:2)
integral of sqrt((x^2-2)/(x^8))
\int\:\sqrt{\frac{x^{2}-2}{x^{8}}}dx
integral of (cos^5(α))/(sqrt(sin(α)))
\int\:\frac{\cos^{5}(α)}{\sqrt{\sin(α)}}dα
integral of cos(x)(4+7sin^2(x))
\int\:\cos(x)(4+7\sin^{2}(x))dx
(\partial)/(\partial y)(3xy^2z^2)
\frac{\partial\:}{\partial\:y}(3xy^{2}z^{2})
f^'(t)= 6/(t^6)-3/(t^3)+2/t
f^{\prime\:}(t)=\frac{6}{t^{6}}-\frac{3}{t^{3}}+\frac{2}{t}
derivative of 3sqrt(sin(x))
\frac{d}{dx}(3\sqrt{\sin(x)})
f(y)=sin(y)
f(y)=\sin(y)
limit as x approaches 1 of e^{2x}
\lim\:_{x\to\:1}(e^{2x})
area f(x)=-4x^2-4,g(x)=2x^2-9
area\:f(x)=-4x^{2}-4,g(x)=2x^{2}-9
derivative of-3ln(cos(x/3))
\frac{d}{dx}(-3\ln(\cos(\frac{x}{3})))
limit as x approaches 0 of (ln(x))/3
\lim\:_{x\to\:0}(\frac{\ln(x)}{3})
(\partial)/(\partial y)((y+x)/(y-x))
\frac{\partial\:}{\partial\:y}(\frac{y+x}{y-x})
limit as x approaches 4-of 1/(x^2-3x-4)
\lim\:_{x\to\:4-}(\frac{1}{x^{2}-3x-4})
integral of ((x-1))/(x^2)e^x
\int\:\frac{(x-1)}{x^{2}}e^{x}dx
derivative of f(x)=(6x-2)^2*(6x^2+3)^5
derivative\:f(x)=(6x-2)^{2}\cdot\:(6x^{2}+3)^{5}
derivative of y=(2x-9)^4(x^2+x+1)^5
derivative\:y=(2x-9)^{4}(x^{2}+x+1)^{5}
derivative of x^2(2/(x^2+5/(x^3)))
\frac{d}{dx}(x^{2}(\frac{2}{x^{2}}+\frac{5}{x^{3}}))
derivative of x^3+2sqrt(x)+2
\frac{d}{dx}(x^{3}+2\sqrt{x}+2)
integral from 1 to 16 of sqrt(x)ln(x)
\int\:_{1}^{16}\sqrt{x}\ln(x)dx
integral of (e^{6x})/(1+e^{2x)}
\int\:\frac{e^{6x}}{1+e^{2x}}dx
derivative of (x(c^2-x^2)/(2.4(c^2+cx)))
\frac{d}{dx}(\frac{x(c^{2}-x^{2})}{2.4(c^{2}+cx)})
(dy)/(dx)=y(2-y)
\frac{dy}{dx}=y(2-y)
integral of 2x(x^2+19)^{14}
\int\:2x(x^{2}+19)^{14}dx
integral of (x^2-5)^52x
\int\:(x^{2}-5)^{5}2xdx
integral of 7arctan(sqrt(x))
\int\:7\arctan(\sqrt{x})dx
(\partial)/(\partial x)((2(y^2-4))/(3(x-1)^{1/3)})
\frac{\partial\:}{\partial\:x}(\frac{2(y^{2}-4)}{3(x-1)^{\frac{1}{3}}})
limit as x approaches 0+of 5sin(x)ln(x)
\lim\:_{x\to\:0+}(5\sin(x)\ln(x))
(\partial)/(\partial x)(7e^{x^7y})
\frac{\partial\:}{\partial\:x}(7e^{x^{7}y})
derivative of 1/(2sqrt(x)+1/(6x^{5/6)})
\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{6x^{\frac{5}{6}}})
(\partial)/(\partial x)((y+xy)/((1+x)^3))
\frac{\partial\:}{\partial\:x}(\frac{y+xy}{(1+x)^{3}})
derivative of e^{5x}*5
\frac{d}{dx}(e^{5x}\cdot\:5)
derivative of sqrt(u+1)(1-8u^2)^7
derivative\:\sqrt{u+1}(1-8u^{2})^{7}
derivative of e^{-bt}
derivative\:e^{-bt}
limit as x approaches-2-of (1-x)/(x^3+8)
\lim\:_{x\to\:-2-}(\frac{1-x}{x^{3}+8})
derivative of (1+i^x)
\frac{d}{dx}((1+i)^{x})
(\partial)/(\partial x)((4x+8)ln(6xy))
\frac{\partial\:}{\partial\:x}((4x+8)\ln(6xy))
derivative of 4e^{-3x}
\frac{d}{dx}(4e^{-3x})
derivative of-cos(2x-2sin(2x)(1-x))
\frac{d}{dx}(-\cos(2x)-2\sin(2x)(1-x))
x(dy)/(dx)+2y=x^2
x\frac{dy}{dx}+2y=x^{2}
limit as x approaches 0 of x/(sin^2(x))
\lim\:_{x\to\:0}(\frac{x}{\sin^{2}(x)})
derivative of x/(8x+3)
\frac{d}{dx}(\frac{x}{8x+3})
(dy)/(dx)=(3-2y)*x^3
\frac{dy}{dx}=(3-2y)\cdot\:x^{3}
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