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Popular Calculus Problems
derivative of (x-3/(3+sin(x)))
\frac{d}{dx}(\frac{x-3}{3+\sin(x)})
tangent of y= 3/x ,\at P(0.5,6)
tangent\:y=\frac{3}{x},\at\:P(0.5,6)
(dy)/(dx)=-3xy^3
\frac{dy}{dx}=-3xy^{3}
limit as x approaches 1 of x^2-3
\lim\:_{x\to\:1}(x^{2}-3)
4y^{''}-4y^'+2y=0
4y^{\prime\:\prime\:}-4y^{\prime\:}+2y=0
inverse oflaplace x/(x-1)
inverselaplace\:\frac{x}{x-1}
integral of x/(e^{7x)}
\int\:\frac{x}{e^{7x}}dx
limit as x approaches 1 of 2/5 x+7
\lim\:_{x\to\:1}(\frac{2}{5}x+7)
integral of ln(3)
\int\:\ln(3)
(\partial)/(\partial x)(6/(x^2))
\frac{\partial\:}{\partial\:x}(\frac{6}{x^{2}})
integral of (x^3)/(2-x^4)
\int\:\frac{x^{3}}{2-x^{4}}dx
integral of 1/(x^2sqrt(x^2-144))
\int\:\frac{1}{x^{2}\sqrt{x^{2}-144}}dx
integral from-pi to 0 of 1
\int\:_{-π}^{0}1dx
limit as x approaches 0 of (sin(3x))/(sqrt(x+4)-2)
\lim\:_{x\to\:0}(\frac{\sin(3x)}{\sqrt{x+4}-2})
derivative of x^4-5x+1
\frac{d}{dx}(x^{4}-5x+1)
integral from 0 to 3 of 2pi(5-x)(9-x^2)
\int\:_{0}^{3}2π(5-x)(9-x^{2})dx
maclaurin arcsin(x)
maclaurin\:\arcsin(x)
inverse oflaplace (0.707)/(s+0.707)
inverselaplace\:\frac{0.707}{s+0.707}
derivative of a*cos(x+b*sin(x))
\frac{d}{dx}(a\cdot\:\cos(x)+b\cdot\:\sin(x))
integral of (2(z+1)e^{2x-2}+2y)
\int\:(2(z+1)e^{2x-2}+2y)dx
derivative of Axe^{4x}
\frac{d}{dx}(Axe^{4x})
derivative of 1/6 (x-1(x+5)^5+10)
\frac{d}{dx}(\frac{1}{6}(x-1)(x+5)^{5}+10)
tangent of y=9x^2+9x-3
tangent\:y=9x^{2}+9x-3
derivative of f(x)=sin(sqrt(1+cos(x)))
derivative\:f(x)=\sin(\sqrt{1+\cos(x)})
integral from 0 to 1 of (14)/(4y-1)
\int\:_{0}^{1}\frac{14}{4y-1}dy
d/(dp)(ln(p))
\frac{d}{dp}(\ln(p))
integral of xsqrt(x-3)
\int\:x\sqrt{x-3}dx
integral of x^2sqrt(5x+7)
\int\:x^{2}\sqrt{5x+7}dx
derivative of (6x/(x^2+9))
\frac{d}{dx}(\frac{6x}{x^{2}+9})
(\partial)/(\partial y)((ax+by)/(cx+dy))
\frac{\partial\:}{\partial\:y}(\frac{ax+by}{cx+dy})
derivative of 8/(9t^6)
derivative\:\frac{8}{9t^{6}}
integral of (cos^3(x))/(1+sin(x))
\int\:\frac{\cos^{3}(x)}{1+\sin(x)}dx
limit as x approaches-1 of x^5
\lim\:_{x\to\:-1}(x^{5})
integral of 1/(sqrt(x^2-100))
\int\:\frac{1}{\sqrt{x^{2}-100}}dx
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
(\partial)/(\partial x)(xe^y+y)
\frac{\partial\:}{\partial\:x}(xe^{y}+y)
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}
integral from 0 to 4 of 1/(sqrt(x^2+9))
\int\:_{0}^{4}\frac{1}{\sqrt{x^{2}+9}}dx
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)})'
(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})
(dy)/(dx)=sin(7e^x)
\frac{dy}{dx}=\sin(7e^{x})
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})
slope of (-3.1)(2.1)
slope\:(-3.1)(2.1)
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))
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