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Popular Calculus Problems

area 3-x^2,6-4x	area\:3-x^{2},6-4x
integral of (1+x)(x-2)^7	\int\:(1+x)(x-2)^{7}dx
derivative of 5\sqrt[5]{x^2}-4/x+sqrt(2)	\frac{d}{dx}(5\sqrt[5]{x^{2}}-\frac{4}{x}+\sqrt{2})
inverse oflaplace (24)/(s^4)	inverselaplace\:\frac{24}{s^{4}}
(\partial)/(\partial x)(3-x^2+xy-3y^2)	\frac{\partial\:}{\partial\:x}(3-x^{2}+xy-3y^{2})
(\partial)/(\partial y)(sqrt(2x^2-4y^3))	\frac{\partial\:}{\partial\:y}(\sqrt{2x^{2}-4y^{3}})
tangent of y= 9/(x^2+2),(1,3)	tangent\:y=\frac{9}{x^{2}+2},(1,3)
d/(dy)(ln(((5y+1)^2)/(sqrt(y^2+1))))	\frac{d}{dy}(\ln(\frac{(5y+1)^{2}}{\sqrt{y^{2}+1}}))
derivative of ln(4x^3+x)	derivative\:\ln(4x^{3}+x)
integral of 5sqrt(5x)	\int\:5\sqrt{5x}dx
(\partial)/(\partial x)(sin(x)-3cos(y))	\frac{\partial\:}{\partial\:x}(\sin(x)-3\cos(y))
(\partial}{\partial x}(\frac{sin(t))/t)	\frac{\partial\:}{\partial\:x}(\frac{\sin(t)}{t})
tangent of-0.025x^2+9x	tangent\:-0.025x^{2}+9x
integral of e^{cos(x)}*sin(x)	\int\:e^{\cos(x)}\cdot\:\sin(x)dx
limit as x approaches-1 of x-1/(ln\|x\|)	\lim\:_{x\to\:-1}(x-\frac{1}{\ln\left\|x\right\|})
(dy)/(dx)-2y=x^2e^{2x}	\frac{dy}{dx}-2y=x^{2}e^{2x}
derivative of f(x)=4sin^2(5x+3)	derivative\:f(x)=4\sin^{2}(5x+3)
integral from 3 to 8 of x/(x^2+6x+13)	\int\:_{3}^{8}\frac{x}{x^{2}+6x+13}dx
(12y^2t^2+10y)dy+(8y^3t)dt=0	(12y^{2}t^{2}+10y)dy+(8y^{3}t)dt=0
derivative of f(x)=sqrt(11x)	derivative\:f(x)=\sqrt{11x}
integral of (6x-5)/(3x^2+5x)	\int\:\frac{6x-5}{3x^{2}+5x}dx
area y=2x^3-9x,y=3x^2-10	area\:y=2x^{3}-9x,y=3x^{2}-10
y^{''}-2y^'+5y=e^xcos(2x)	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=e^{x}\cos(2x)
derivative of cos(3x+1)	\frac{d}{dx}(\cos(3x+1))
derivative of xsqrt(3-x)	\frac{d}{dx}(x\sqrt{3-x})
(\partial)/(\partial x)(-3xe^{2xy})	\frac{\partial\:}{\partial\:x}(-3xe^{2xy})
(dy)/(dx)=x(8-y)	\frac{dy}{dx}=x(8-y)
(d^2)/(dx^2)(4e^xcos(x))	\frac{d^{2}}{dx^{2}}(4e^{x}\cos(x))
integral of (e^x+1)^2	\int\:(e^{x}+1)^{2}dx
derivative of-e^x(x-1)	\frac{d}{dx}(-e^{x}(x-1))
derivative of (cos(x))^2	derivative\:(\cos(x))^{2}
limit as x approaches 2 of 3e^{x-2}	\lim\:_{x\to\:2}(3e^{x-2})
integral of sin^9(x)cos^6(x)	\int\:\sin^{9}(x)\cos^{6}(x)dx
slope of (48)(4-4)	slope\:(48)(4-4)
integral of e^{(1-s)t}	\int\:e^{(1-s)t}dt
(4+x)y^'=9y	(4+x)y^{\prime\:}=9y
integral of x/(\sqrt[3]{x-6)}	\int\:\frac{x}{\sqrt[3]{x-6}}dx
(\partial)/(\partial x)(y^2-4x)	\frac{\partial\:}{\partial\:x}(y^{2}-4x)
derivative of (x^3/(1+x^2))	\frac{d}{dx}(\frac{x^{3}}{1+x^{2}})
integral of (x^2-4)/(4x)	\int\:\frac{x^{2}-4}{4x}dx
sum from n=0 to infinity of (n+1)/(2n-3)	\sum\:_{n=0}^{\infty\:}\frac{n+1}{2n-3}
integral of (2x-2)/(1+(x-1)^2)	\int\:\frac{2x-2}{1+(x-1)^{2}}dx
(dx)/(dt)=7(x^2+1),x(pi/4)=1	\frac{dx}{dt}=7(x^{2}+1),x(\frac{π}{4})=1
derivative of 6t^2-4t+9	derivative\:6t^{2}-4t+9
laplacetransform f(t)=2e^{-t}cos(4t)	laplacetransform\:f(t)=2e^{-t}\cos(4t)
integral of (cos(2x))/((1+sin(2x))^2)	\int\:\frac{\cos(2x)}{(1+\sin(2x))^{2}}dx
derivative of sqrt(12x-x^2)	\frac{d}{dx}(\sqrt{12x-x^{2}})
integral of 6sin^5(x)cos(x)	\int\:6\sin^{5}(x)\cos(x)dx
derivative of 3/4 x^{4/3}-3/8 x^{2/3}+8	\frac{d}{dx}(\frac{3}{4}x^{\frac{4}{3}}-\frac{3}{8}x^{\frac{2}{3}}+8)
derivative of x^4-3x^2+4	\frac{d}{dx}(x^{4}-3x^{2}+4)
integral of x(x-1)(x-2)	\int\:x(x-1)(x-2)dx
derivative of y=(2x^2-3)^2	derivative\:y=(2x^{2}-3)^{2}
integral from 1 to 9 of 4sqrt(x)	\int\:_{1}^{9}4\sqrt{x}dx
integral of 1/(tan(x)+sin(x))	\int\:\frac{1}{\tan(x)+\sin(x)}dx
limit as x approaches 1+of 2/(x^3-1)	\lim\:_{x\to\:1+}(\frac{2}{x^{3}-1})
integral of-2picos^4(pix)sin^5(pix)	\int\:-2π\cos^{4}(πx)\sin^{5}(πx)dx
integral of 5xsqrt(2x+3)	\int\:5x\sqrt{2x+3}dx
tangent of f(x)=x(3-x)^2,\at x=2	tangent\:f(x)=x(3-x)^{2},\at\:x=2
integral of 1/(sqrt(x)(1+\sqrt{x))^3}	\int\:\frac{1}{\sqrt{x}(1+\sqrt{x})^{3}}dx
limit as x approaches 2 of ax^2-2bx+1	\lim\:_{x\to\:2}(ax^{2}-2bx+1)
integral of (e^x-e^{-x})/(e^x+e^{-x)}	\int\:\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}dx
(\partial)/(\partial x)(sin^2(kx))	\frac{\partial\:}{\partial\:x}(\sin^{2}(kx))
y^'-9/x y=((y^5))/(x^8)	y^{\prime\:}-\frac{9}{x}y=\frac{(y^{5})}{x^{8}}
derivative of y=sin(5x)	derivative\:y=\sin(5x)
integral of (x^2+1)^3	\int\:(x^{2}+1)^{3}dx
integral of 1/(2t)	\int\:\frac{1}{2t}dt
tangent of f(x)=x^3,\at x=2	tangent\:f(x)=x^{3},\at\:x=2
integral of 4xarctan(x)	\int\:4x\arctan(x)dx
limit as x approaches 9 of 1/(x-9)	\lim\:_{x\to\:9}(\frac{1}{x-9})
derivative of (x+2/x (7-2x^3))	\frac{d}{dx}((x+\frac{2}{x})(7-2x^{3}))
1/y (dy)/(dx)=e^x+ln(y)	\frac{1}{y}\frac{dy}{dx}=e^{x}+\ln(y)
(8-r^2)dr=r^3sin(θ)dθ,r(0)=2	(8-r^{2})dr=r^{3}\sin(θ)dθ,r(0)=2
integral of 4x^3-6x^2+3	\int\:4x^{3}-6x^{2}+3dx
integral of 19tan^5(x)sec^4(x)	\int\:19\tan^{5}(x)\sec^{4}(x)dx
derivative of f(x)=2e^{-3x+9}	derivative\:f(x)=2e^{-3x+9}
slope of (-2,-1),(8,-3)	slope\:(-2,-1),(8,-3)
integral of (sec(x))/(tan(x)+cot(x))	\int\:\frac{\sec(x)}{\tan(x)+\cot(x)}dx
integral of 4x-2x^2	\int\:4x-2x^{2}dx
integral of a^{(3x+3)}	\int\:a^{(3x+3)}dx
y'=y(3-y)-9/4	y\prime\:=y(3-y)-\frac{9}{4}
integral of \sqrt[3]{x}-2	\int\:\sqrt[3]{x}-2dx
derivative of y=((3x^2+4)(2x+1))/(5x-9)	derivative\:y=\frac{(3x^{2}+4)(2x+1)}{5x-9}
f(z)=sqrt((z-8)/(z+8))	f(z)=\sqrt{\frac{z-8}{z+8}}
limit as x approaches 3 of 5/(x^2-9)	\lim\:_{x\to\:3}(\frac{5}{x^{2}-9})
limit as x approaches 0+of x^{4x}	\lim\:_{x\to\:0+}(x^{4x})
(dy)/(dx)= 1/5 x	\frac{dy}{dx}=\frac{1}{5}x
tangent of f(x)=x^2-4,\at x=3	tangent\:f(x)=x^{2}-4,\at\:x=3
integral of e^{4θ}sin(5θ)	\int\:e^{4θ}\sin(5θ)dθ
area f(x)=3x^2,g(x)=-3x+6,[-4,2]	area\:f(x)=3x^{2},g(x)=-3x+6,[-4,2]
tangent of 4e^x-3x^2	tangent\:4e^{x}-3x^{2}
limit as x approaches 48 of (x^2)/8-6/x	\lim\:_{x\to\:48}(\frac{x^{2}}{8}-\frac{6}{x})
integral of x^2*e^{4x}	\int\:x^{2}\cdot\:e^{4x}dx
tangent of f(x)= 1/(x+2),\at x=9	tangent\:f(x)=\frac{1}{x+2},\at\:x=9
parity x^{sin(x)}	parity\:x^{\sin(x)}
integral of cos(x)cos(3x)	\int\:\cos(x)\cos(3x)dx
derivative of (x^2/(x+1))	\frac{d}{dx}(\frac{x^{2}}{x+1})
derivative of (6t)/(6+sqrt(t))	derivative\:\frac{6t}{6+\sqrt{t}}
(dy)/(dx)=xy+9x+2y+18	\frac{dy}{dx}=xy+9x+2y+18
36y^{''}-60y^'+26y=0,y(4)=2,y^'(4)=5	36y^{\prime\:\prime\:}-60y^{\prime\:}+26y=0,y(4)=2,y^{\prime\:}(4)=5
derivative of ((x+2)(x^2-2x+4))/(x^3)	derivative\:\frac{(x+2)(x^{2}-2x+4)}{x^{3}}

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