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Popular Calculus Problems
integral of [(2^{(18x)})/4 ]
\int\:[\frac{2^{(18x)}}{4}]dx
integral of 40x^3-2
\int\:40x^{3}-2dx
tangent of y=(8x)/(x^2+1),(1,4)
tangent\:y=\frac{8x}{x^{2}+1},(1,4)
integral of (5-4x^3+2x^6)/(x^6)
\int\:\frac{5-4x^{3}+2x^{6}}{x^{6}}dx
integral of sin(2x+4)
\int\:\sin(2x+4)dx
derivative of (sin(x)/(1-2cos(x)))
\frac{d}{dx}(\frac{\sin(x)}{1-2\cos(x)})
implicit (dy)/(dx),y=7x^2+6yx
implicit\:\frac{dy}{dx},y=7x^{2}+6yx
integral of e^{-θ}cos(8θ)
\int\:e^{-θ}\cos(8θ)dθ
(\partial)/(\partial x)(1/(xy^2-x^2y))
\frac{\partial\:}{\partial\:x}(\frac{1}{xy^{2}-x^{2}y})
limit as x approaches 0 of (e^x+x)^{1/x}
\lim\:_{x\to\:0}((e^{x}+x)^{\frac{1}{x}})
(x+1)(dy)/(dx)+y=xln^2(x)
(x+1)\frac{dy}{dx}+y=x\ln^{2}(x)
limit as x approaches infinity of ((ln(e^{3x}+x)))/x
\lim\:_{x\to\:\infty\:}(\frac{(\ln(e^{3x}+x))}{x})
t(dy)/(dt)+2y=t^4
t\frac{dy}{dt}+2y=t^{4}
(\partial)/(\partial y)(xln(y)-yln(x))
\frac{\partial\:}{\partial\:y}(x\ln(y)-y\ln(x))
integral of (x^4-x^3+2x^2-2x-8)/(x^2+4)
\int\:\frac{x^{4}-x^{3}+2x^{2}-2x-8}{x^{2}+4}dx
limit as x approaches 4 of x/(x^2-3x)
\lim\:_{x\to\:4}(\frac{x}{x^{2}-3x})
y^'=(x+1)y^2
y^{\prime\:}=(x+1)y^{2}
integral of (x^3)/(x^2+5)
\int\:\frac{x^{3}}{x^{2}+5}dx
derivative of (dy/(dx))=4x
\frac{d}{dx}(\frac{dy}{dx})=4x
tangent of f(x)=-3e^{-2x}+3
tangent\:f(x)=-3e^{-2x}+3
integral of 1/((x^2+2)^{5/2)}
\int\:\frac{1}{(x^{2}+2)^{\frac{5}{2}}}dx
integral of (u-1)/(u^2)
\int\:\frac{u-1}{u^{2}}du
integral from 0 to infinity of xe^{-x^2}
\int\:_{0}^{\infty\:}xe^{-x^{2}}dx
(\partial)/(\partial y)(1/(x-y))
\frac{\partial\:}{\partial\:y}(\frac{1}{x-y})
inverse oflaplace 2
inverselaplace\:2
tangent of f(x)= 9/(x^2+5)
tangent\:f(x)=\frac{9}{x^{2}+5}
taylor cos^2(x),0
taylor\:\cos^{2}(x),0
derivative of sin(x)+4/9 cot(x)
derivative\:\sin(x)+\frac{4}{9}\cot(x)
integral from 1 to t of (17)/(x^3)
\int\:_{1}^{t}\frac{17}{x^{3}}dx
area 3-1/2 x,3<= x<= 15
area\:3-\frac{1}{2}x,3\le\:x\le\:15
integral from 0 to 2 of (x+2-x^2)
\int\:_{0}^{2}(x+2-x^{2})dx
taylor e^x+e^{-x}
taylor\:e^{x}+e^{-x}
integral of 3/(x^2sqrt(x^2+25))
\int\:\frac{3}{x^{2}\sqrt{x^{2}+25}}dx
limit as x approaches 0 of 2cos(x)
\lim\:_{x\to\:0}(2\cos(x))
tangent of f(x)=4sqrt(x)
tangent\:f(x)=4\sqrt{x}
laplacetransform sin(4t)
laplacetransform\:\sin(4t)
derivative of f(x)=cos(2x)+sin(2x)
derivative\:f(x)=\cos(2x)+\sin(2x)
derivative of (2.25r)/((r+0.5)^2)
derivative\:\frac{2.25r}{(r+0.5)^{2}}
integral of (x^2+x+1)
\int\:(x^{2}+x+1)dx
integral of cos(θ)sin^2(θ)
\int\:\cos(θ)\sin^{2}(θ)dθ
(\partial)/(\partial y)(x^2cos(e^{xy}))
\frac{\partial\:}{\partial\:y}(x^{2}\cos(e^{xy}))
y^{''}+6y^'+9y=-xe^{4x}
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=-xe^{4x}
integral of (8x)/(x^2+x+1)
\int\:\frac{8x}{x^{2}+x+1}dx
limit as x approaches-2 of x^2-1
\lim\:_{x\to\:-2}(x^{2}-1)
integral of (w+rs-1/c e^{(r-p)t})
\int\:(w+rs-\frac{1}{c}e^{(r-p)t})dt
derivative of (sin(3x)^{ln(x)})
\frac{d}{dx}((\sin(3x))^{\ln(x)})
limit as n approaches infinity of 3/2
\lim\:_{n\to\:\infty\:}(\frac{3}{2})
(\partial)/(\partial x)(x/y)
\frac{\partial\:}{\partial\:x}(\frac{x}{y})
derivative of x^22x
\frac{d}{dx}(x^{2}2x)
derivative of y=ln(x^{100})
derivative\:y=\ln(x^{100})
integral of (x^{1/4})/(1+x^{1/2)}
\int\:\frac{x^{\frac{1}{4}}}{1+x^{\frac{1}{2}}}dx
y^{''}+4y^'+5y=10x+e^{-x}
y^{\prime\:\prime\:}+4y^{\prime\:}+5y=10x+e^{-x}
(\partial)/(\partial x)(e^{y-x})
\frac{\partial\:}{\partial\:x}(e^{y-x})
limit as x approaches 0-of x+(|x|)/x
\lim\:_{x\to\:0-}(x+\frac{\left|x\right|}{x})
(dy)/(dx)+3y= 3/2
\frac{dy}{dx}+3y=\frac{3}{2}
derivative of e^{ikx}
\frac{d}{dx}(e^{ikx})
derivative of (2x-3^4)
\frac{d}{dx}((2x-3)^{4})
derivative of (x^3-1)^{100}
derivative\:(x^{3}-1)^{100}
integral of y^{-2/3}
\int\:y^{-\frac{2}{3}}dy
integral from 0 to pi/2 of 16cos^5(x)
\int\:_{0}^{\frac{π}{2}}16\cos^{5}(x)dx
derivative of ln(xe^{sqrt(x)}+4)
derivative\:\ln(xe^{\sqrt{x}}+4)
(d^2y)/(dx^2)-2(dy)/(dx)+y=2e^x
\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}+y=2e^{x}
limit as x approaches infinity of xsin((3pi)/x)
\lim\:_{x\to\:\infty\:}(x\sin(\frac{3π}{x}))
integral from 1 to 4 of sqrt(y)ln(y)
\int\:_{1}^{4}\sqrt{y}\ln(y)dy
(dx)/(dt)=kx(1000-x)
\frac{dx}{dt}=kx(1000-x)
y^{''}+400y=sec(20x),y(0)=5,y^'(0)=-5
y^{\prime\:\prime\:}+400y=\sec(20x),y(0)=5,y^{\prime\:}(0)=-5
integral of (x-1)sec^2(x)
\int\:(x-1)\sec^{2}(x)dx
taylor (x-1)ln(x)
taylor\:(x-1)\ln(x)
(\partial)/(\partial x)(1/(sqrt(3x+2)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{3x+2}})
limit as x approaches 2-of g(x)
\lim\:_{x\to\:2-}(g(x))
integral of x/(2x^2+1)
\int\:\frac{x}{2x^{2}+1}dx
limit as x approaches infinity of f(x)x
\lim\:_{x\to\:\infty\:}(f(x)x)
integral of 8ln(x)
\int\:8\ln(x)dx
derivative of x^8ln(9x)
\frac{d}{dx}(x^{8}\ln(9x))
y^'+2y=3,y(0)=0
y^{\prime\:}+2y=3,y(0)=0
derivative of 4^{sin^2(x+cos(3x)})
\frac{d}{dx}(4^{\sin^{2}(x)+\cos(3x)})
integral from 0 to 1 of \sqrt[3]{x}-x^2
\int\:_{0}^{1}\sqrt[3]{x}-x^{2}dx
derivative of 2ln(x)+6
derivative\:2\ln(x)+6
(\partial)/(\partial x)(xy-x-y+1)
\frac{\partial\:}{\partial\:x}(xy-x-y+1)
integral of 1/(y^2-y+1)
\int\:\frac{1}{y^{2}-y+1}dy
integral from 0 to 1 of 7^{2x}
\int\:_{0}^{1}7^{2x}dx
limit as x approaches 0 of (cos(3x)tan(3x))/x
\lim\:_{x\to\:0}(\frac{\cos(3x)\tan(3x)}{x})
y^'=y-2x
y^{\prime\:}=y-2x
integral of (4x^3)/(1+x^4)
\int\:\frac{4x^{3}}{1+x^{4}}dx
(\partial)/(\partial x)(x^2+2)
\frac{\partial\:}{\partial\:x}(x^{2}+2)
integral from 1 to 8 of (5ln(x))/(x^2)
\int\:_{1}^{8}\frac{5\ln(x)}{x^{2}}dx
limit as (x,y) approaches (0,0) of x/y
\lim\:_{(x,y)\to\:(0,0)}(\frac{x}{y})
sum from n=0 to infinity of n-2
\sum\:_{n=0}^{\infty\:}n-2
y^{''}+2y^'+3y=0,y^'(0)=2,y(0)=1
y^{\prime\:\prime\:}+2y^{\prime\:}+3y=0,y^{\prime\:}(0)=2,y(0)=1
y^'+7y=e^{3x}
y^{\prime\:}+7y=e^{3x}
integral from 0 to infinity of xe^{4x}
\int\:_{0}^{\infty\:}xe^{4x}dx
derivative of 2^{1/x}
derivative\:2^{\frac{1}{x}}
integral of (3x^2)/((25+x^2)^2)
\int\:\frac{3x^{2}}{(25+x^{2})^{2}}dx
integral of sin^{10}(x)cos^3(x)
\int\:\sin^{10}(x)\cos^{3}(x)dx
integral of sin^3(2x)cos^2(2x)
\int\:\sin^{3}(2x)\cos^{2}(2x)dx
limit as x approaches 1 of ((sin(x)))/x
\lim\:_{x\to\:1}(\frac{(\sin(x))}{x})
y^'sin(x)=yln(y)
y^{\prime\:}\sin(x)=y\ln(y)
derivative of f(x)=(x^2-1)/((x+1)^2)
derivative\:f(x)=\frac{x^{2}-1}{(x+1)^{2}}
maclaurin ln(1+4x)
maclaurin\:\ln(1+4x)
integral of (3x)/(sqrt(1-x))
\int\:\frac{3x}{\sqrt{1-x}}dx
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