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Popular Calculus Problems
integral of x/(sqrt(1-16x^2))
\int\:\frac{x}{\sqrt{1-16x^{2}}}dx
derivative of 2sin(x-sin(2x))
\frac{d}{dx}(2\sin(x)-\sin(2x))
derivative of (x^2-4x/((x-2)^2))
\frac{d}{dx}(\frac{x^{2}-4x}{(x-2)^{2}})
integral of 2cot^2(x)csc(x)
\int\:2\cot^{2}(x)\csc(x)dx
taylor sin(x),x=0
taylor\:\sin(x),x=0
laplacetransform 1-e^{-t/4}
laplacetransform\:1-e^{-\frac{t}{4}}
integral of x^2(9-x^3)^{2/3}
\int\:x^{2}(9-x^{3})^{\frac{2}{3}}dx
integral of (6x-12)/(x^2-4x-5)
\int\:\frac{6x-12}{x^{2}-4x-5}dx
integral of 1/(u^{1/2)}
\int\:\frac{1}{u^{\frac{1}{2}}}du
sum from n=0 to infinity of n/(3^{n+1)}
\sum\:_{n=0}^{\infty\:}\frac{n}{3^{n+1}}
(\partial)/(\partial x)((-y-xy)/((1+x)^3))
\frac{\partial\:}{\partial\:x}(\frac{-y-xy}{(1+x)^{3}})
integral of 1/(sqrt(x^2+25))
\int\:\frac{1}{\sqrt{x^{2}+25}}dx
integral of sqrt(x(1+\sqrt{x))}^4
\int\:\sqrt{x(1+\sqrt{x})}^{4}dx
y^'=t-yt
y^{\prime\:}=t-yt
implicit (dy)/(dx),y=2x+1
implicit\:\frac{dy}{dx},y=2x+1
integral of sin(2*x)
\int\:\sin(2\cdot\:x)dx
integral of sqrt(15-14x-x^2)
\int\:\sqrt{15-14x-x^{2}}dx
(y+x^3+xy^2)dx-(x)dy=0
(y+x^{3}+xy^{2})dx-(x)dy=0
integral of (18)/((1-x^2)^{3/2)}
\int\:\frac{18}{(1-x^{2})^{\frac{3}{2}}}dx
sum from n=0 to infinity}(5^{n+1 of)/(4^n(3n-1)!)
\sum\:_{n=0}^{\infty\:}\frac{5^{n+1}}{4^{n}(3n-1)!}
limit as x approaches 4 of-1/(x^{3/2)}
\lim\:_{x\to\:4}(-\frac{1}{x^{\frac{3}{2}}})
integral of e^{-x}2x
\int\:e^{-x}2xdx
(4xy+y^2)dx+(2x^2+2xy)dy=0
(4xy+y^{2})dx+(2x^{2}+2xy)dy=0
(dy)/(dx)=(x-1)/(y-1)
\frac{dy}{dx}=\frac{x-1}{y-1}
integral of (x+5)^3
\int\:(x+5)^{3}dx
derivative of (2x/(1-x^2))
\frac{d}{dx}(\frac{2x}{1-x^{2}})
limit as x approaches 0 of (-x^2)/(x^2)
\lim\:_{x\to\:0}(\frac{-x^{2}}{x^{2}})
derivative of f(x)=(sin(pi-x))/(pi-x)
derivative\:f(x)=\frac{\sin(π-x)}{π-x}
limit as x approaches 0 of 5^{x+h}-5^x
\lim\:_{x\to\:0}(5^{x+h}-5^{x})
y^'-tan(x)=0
y^{\prime\:}-\tan(x)=0
derivative of x-y
derivative\:x-y
integral of xcos(1-x^2)
\int\:x\cos(1-x^{2})dx
derivative of y=x^{12}
derivative\:y=x^{12}
derivative of 3x-2sqrt(x)
derivative\:3x-2\sqrt{x}
integral of e^x*sin(x)
\int\:e^{x}\cdot\:\sin(x)dx
derivative of (x^2+1/(x^3-1))
\frac{d}{dx}(\frac{x^{2}+1}{x^{3}-1})
derivative of f(x)=17e^e-ex^e
derivative\:f(x)=17e^{e}-ex^{e}
laplacetransform e^{-t}tsin(2t)
laplacetransform\:e^{-t}t\sin(2t)
d/(dt)(2t^{-3/4})
\frac{d}{dt}(2t^{-\frac{3}{4}})
limit as x approaches infinity of (e)^x
\lim\:_{x\to\:\infty\:}((e)^{x})
(\partial)/(\partial x)(x^2(y/x))
\frac{\partial\:}{\partial\:x}(x^{2}(\frac{y}{x}))
(f(x)(x)^{g(x)})\prime
(f(x)(x)^{g(x)})\prime
limit as x approaches 2 of (4x^2-2x+5)/x
\lim\:_{x\to\:2}(\frac{4x^{2}-2x+5}{x})
integral of (435)/(3x+14)-15
\int\:\frac{435}{3x+14}-15dx
tangent of f(x)=3x^2+2x,\at x=3
tangent\:f(x)=3x^{2}+2x,\at\:x=3
integral of (sin(x))/(sqrt(cos^3(x)))
\int\:\frac{\sin(x)}{\sqrt{\cos^{3}(x)}}dx
derivative of x-1/2 x^2
\frac{d}{dx}(x-\frac{1}{2}x^{2})
integral of sec^2(θ)tan^9(θ)
\int\:\sec^{2}(θ)\tan^{9}(θ)dθ
limit as x approaches 4 of 4
\lim\:_{x\to\:4}(4)
y^{''}=4sin(7x)
y^{\prime\:\prime\:}=4\sin(7x)
integral of 2ln(x)
\int\:2\ln(x)dx
integral of (sin(5x))
\int\:(\sin(5x))dx
integral of 9(tan(x))(ln(cos(x)))
\int\:9(\tan(x))(\ln(\cos(x)))dx
tangent of f(x)=8xtan(x),\at x=pi
tangent\:f(x)=8x\tan(x),\at\:x=π
f(x)=3-x
f(x)=3-x
4y^{''}-20y^'+25y=0
4y^{\prime\:\prime\:}-20y^{\prime\:}+25y=0
derivative of x^2sqrt(4-x)
\frac{d}{dx}(x^{2}\sqrt{4-x})
x^'=6-3/5*x
x^{\prime\:}=6-\frac{3}{5}\cdot\:x
integral of e^xtan(e^x)
\int\:e^{x}\tan(e^{x})dx
derivative of asin(2x+bcos(2x))
\frac{d}{dx}(a\sin(2x)+b\cos(2x))
derivative of 3x^2+(8x/3-2)
\frac{d}{dx}(3x^{2}+\frac{8x}{3}-2)
limit as x approaches 0 of-5(x-3)ln(t(x)-3)
\lim\:_{x\to\:0}(-5(x-3)\ln(t(x)-3))
integral of ln(2x)
\int\:\ln(2x)dx
(\partial)/(\partial x)(2y*e^{5x^2-9y})
\frac{\partial\:}{\partial\:x}(2y\cdot\:e^{5x^{2}-9y})
integral of 11x^3e^x
\int\:11x^{3}e^{x}dx
integral of csc^{13}(x)
\int\:\csc^{13}(x)dx
area g(x)= 4/(2-x),y=4,x=0
area\:g(x)=\frac{4}{2-x},y=4,x=0
(\partial)/(\partial x)(sqrt(x+y^4))
\frac{\partial\:}{\partial\:x}(\sqrt{x+y^{4}})
derivative of (2x^3+3x-1^4)
\frac{d}{dx}((2x^{3}+3x-1)^{4})
(\partial)/(\partial x)(3x^3y^3-2x^2+3y+40)
\frac{\partial\:}{\partial\:x}(3x^{3}y^{3}-2x^{2}+3y+40)
slope of 2-4/t
slope\:2-\frac{4}{t}
integral of (ln(13x))/x
\int\:\frac{\ln(13x)}{x}dx
derivative of e^{3x}
derivative\:e^{3x}
limit as x approaches infinity of (e^{2x})/(5^{2x)}
\lim\:_{x\to\:\infty\:}(\frac{e^{2x}}{5^{2x}})
derivative of (x^2+1^4)
\frac{d}{dx}((x^{2}+1)^{4})
integral from 1 to 7 of x^3
\int\:_{1}^{7}x^{3}dx
derivative of sqrt(25-x^2)
derivative\:\sqrt{25-x^{2}}
integral of 1/(x^2+25)
\int\:\frac{1}{x^{2}+25}dx
integral of x/(x^2-8)
\int\:\frac{x}{x^{2}-8}dx
q^{''}+2q^'+4q=50cos(t)
q^{\prime\:\prime\:}+2q^{\prime\:}+4q=50\cos(t)
maclaurin 1+x
maclaurin\:1+x
y^'=4xy^3
y^{\prime\:}=4xy^{3}
cos^2(x)sin(x)(dy)/(dx)+(cos^3(x))y=1
\cos^{2}(x)\sin(x)\frac{dy}{dx}+(\cos^{3}(x))y=1
limit as x approaches-infinity of sqrt(x^2-2x+1)-x
\lim\:_{x\to\:-\infty\:}(\sqrt{x^{2}-2x+1}-x)
integral of (13)/((x^2-1)^2)
\int\:\frac{13}{(x^{2}-1)^{2}}dx
(\partial)/(\partial y)(tan(x^2+y^2))
\frac{\partial\:}{\partial\:y}(\tan(x^{2}+y^{2}))
parity f(x)=(sqrt(1-sin(x)))/(sqrt(1+sin(x)))
parity\:f(x)=\frac{\sqrt{1-\sin(x)}}{\sqrt{1+\sin(x)}}
integral of 1/(sqrt(x+4))
\int\:\frac{1}{\sqrt{x+4}}dx
derivative of f(x)=x-a
derivative\:f(x)=x-a
derivative of xln(x-x)
\frac{d}{dx}(x\ln(x)-x)
(\partial)/(\partial y)(xcos(y-x))
\frac{\partial\:}{\partial\:y}(x\cos(y-x))
integral of (3x^2)/(sqrt(x^3+7))
\int\:\frac{3x^{2}}{\sqrt{x^{3}+7}}dx
derivative of xsqrt(y)
\frac{d}{dx}(x\sqrt{y})
y^{''}+2y^'+2y=e^{-t}sin(t)
y^{\prime\:\prime\:}+2y^{\prime\:}+2y=e^{-t}\sin(t)
f^'(x)=((1-sec(x))/(tan(x)))
f^{\prime\:}(x)=(\frac{1-\sec(x)}{\tan(x)})
(\partial)/(\partial x)(1-x^2)
\frac{\partial\:}{\partial\:x}(1-x^{2})
(\partial)/(\partial x)(rcos(t)sin(x))
\frac{\partial\:}{\partial\:x}(r\cos(t)\sin(x))
integral of x/((x+3))
\int\:\frac{x}{(x+3)}dx
(\partial)/(\partial y)(4x^2y)
\frac{\partial\:}{\partial\:y}(4x^{2}y)
derivative of f(x)= 2/((x-1)^3)
derivative\:f(x)=\frac{2}{(x-1)^{3}}
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