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Popular Calculus Problems

-8x^2y+y^'=-5x^2	-8x^{2}y+y^{\prime\:}=-5x^{2}
integral of 1/(3-4sin^2(x))	\int\:\frac{1}{3-4\sin^{2}(x)}dx
derivative of f(x)=x^{2020}	derivative\:f(x)=x^{2020}
derivative of (x^3+5x^2(5x-3)^4)	\frac{d}{dx}((x^{3}+5x)^{2}(5x-3)^{4})
f(x)=tan(7x)	f(x)=\tan(7x)
integral of 1/(x(x^3+1)^2)	\int\:\frac{1}{x(x^{3}+1)^{2}}dx
derivative of e^{7tsin(2t)}	derivative\:e^{7t\sin(2t)}
tangent of f(x)=(-2x)/(x^2+1),\at x=1	tangent\:f(x)=\frac{-2x}{x^{2}+1},\at\:x=1
integral of 2/((x+1)^2)	\int\:\frac{2}{(x+1)^{2}}dx
integral of 1+e^xy+xe^xy	\int\:1+e^{x}y+xe^{x}ydx
limit as x approaches 1 of 3x^2+1	\lim\:_{x\to\:1}(3x^{2}+1)
integral of (2-y)	\int\:(2-y)dy
(d^2)/(dx^2)(6ln(4x))	\frac{d^{2}}{dx^{2}}(6\ln(4x))
limit as x approaches-1-of 1/(x^2+1)	\lim\:_{x\to\:-1-}(\frac{1}{x^{2}+1})
area y=e^x,y=e^{5x},x=1	area\:y=e^{x},y=e^{5x},x=1
(dy)/(dt)=-2tcos(t^2)y+6t^2e^{-sin(t^2)}	\frac{dy}{dt}=-2t\cos(t^{2})y+6t^{2}e^{-\sin(t^{2})}
integral of pi*x	\int\:π\cdot\:xdx
limit as x approaches 1 of x^{5/(x^2-1)}	\lim\:_{x\to\:1}(x^{\frac{5}{x^{2}-1}})
f(x)=xarcsin(x)	f(x)=x\arcsin(x)
derivative of (6x+5/(sqrt(7-3x^2)))	\frac{d}{dx}(\frac{6x+5}{\sqrt{7-3x^{2}}})
integral from 0 to 2pi of (1+sin(u))	\int\:_{0}^{2π}(1+\sin(u))du
y^{''}=5y	y^{\prime\:\prime\:}=5y
integral from a to b of 1	\int\:_{a}^{b}1dx
(dr)/(dt)=-2tr	\frac{dr}{dt}=-2tr
inverse oflaplace 6/(s^2+4)	inverselaplace\:\frac{6}{s^{2}+4}
integral from 2 to 4 of (2-x^2)-(10-6x)	\int\:_{2}^{4}(2-x^{2})-(10-6x)dx
(\partial}{\partial {h}}(A/({h)+sqrt(5)/h))	\frac{\partial\:}{\partial\:{h}}(\frac{A}{{h}+\sqrt{5}{h}})
integral of xln(x/2)	\int\:x\ln(\frac{x}{2})dx
derivative of sqrt(x+5)-3	\frac{d}{dx}(\sqrt{x+5}-3)
integral of e^x*cos(4x)	\int\:e^{x}\cdot\:\cos(4x)dx
limit as x approaches infinity of 2x-4	\lim\:_{x\to\:\infty\:}(2x-4)
area x-2=-(1/2)(y-4)^2,x+y=6	area\:x-2=-(\frac{1}{2})(y-4)^{2},x+y=6
integral of t^{12}	\int\:t^{12}dt
derivative of (e^{-x}/((1+e^{-x))^2})	\frac{d}{dx}(\frac{e^{-x}}{(1+e^{-x})^{2}})
inverse oflaplace 1/t	inverselaplace\:\frac{1}{t}
derivative of (x+ye^y)	\frac{d}{dx}((x+y)e^{y})
limit as x approaches-1/2 of 4x(3x+4)^2	\lim\:_{x\to\:-\frac{1}{2}}(4x(3x+4)^{2})
limit as a approaches t of a^5+a^5	\lim\:_{a\to\:t}(a^{5}+a^{5})
(\partial)/(\partial z)(xy^2arctan(z))	\frac{\partial\:}{\partial\:z}(xy^{2}\arctan(z))
integral from 1 to 2 of 3/(x^2)	\int\:_{1}^{2}\frac{3}{x^{2}}dx
(\partial)/(\partial x)(xsqrt(xy))	\frac{\partial\:}{\partial\:x}(x\sqrt{xy})
derivative of (x-1/2)	\frac{d}{dx}(\frac{x-1}{2})
(\partial)/(\partial x)((90)/(6+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{90}{6+x^{2}+y^{2}})
integral of 1/(\sqrt[3]{x^2)}	\int\:\frac{1}{\sqrt[3]{x^{2}}}dx
integral of cot(θ)	\int\:\cot(θ)dθ
integral of (x(3x-sqrt(x))+(e^{ex}+8))	\int\:(x(3x-\sqrt{x})+(e^{ex}+8))dx
(\partial)/(\partial y)(x^2y^2-xy+2)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2}-xy+2)
integral of (x^2)/(sqrt(2x^2-9))	\int\:\frac{x^{2}}{\sqrt{2x^{2}-9}}dx
limit as x approaches-1 of 7x+2	\lim\:_{x\to\:-1}(7x+2)
integral from-6 to 8 of x/2+8	\int\:_{-6}^{8}\frac{x}{2}+8dx
integral of x^5sqrt(5+x^6)	\int\:x^{5}\sqrt{5+x^{6}}dx
integral of (x^3-6x+8)/(x^2)	\int\:\frac{x^{3}-6x+8}{x^{2}}dx
integral of 2/((x^2-1))	\int\:\frac{2}{(x^{2}-1)}dx
derivative of 5e^x+23^x	\frac{d}{dx}(5\cdot\:e^{x}+2\cdot\:3^{x})
simplify e^{-t^2}	simplify\:e^{-t^{2}}
integral of (x^2e^x)	\int\:(x^{2}e^{x})dx
area y=x^3+1,(0,2)	area\:y=x^{3}+1,(0,2)
limit as x approaches infinity+of x^2x	\lim\:_{x\to\:\infty\:+}(x^{2}x)
(\partial)/(\partial y)((e^x)/(1+y))	\frac{\partial\:}{\partial\:y}(\frac{e^{x}}{1+y})
integral of (tan^5(x))/(sec^8(x))	\int\:\frac{\tan^{5}(x)}{\sec^{8}(x)}dx
integral from 0 to 4 of pi(16x^2-x^4)	\int\:_{0}^{4}π(16x^{2}-x^{4})dx
integral of (2x)/(1-8x^2)	\int\:\frac{2x}{1-8x^{2}}dx
integral of (e^{7sqrt(t)})/(sqrt(t))	\int\:\frac{e^{7\sqrt{t}}}{\sqrt{t}}dt
limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15)	\lim\:_{x\to\:5}(\frac{3x^{2}-13x-10}{2x^{2}-7x-15})
derivative of (x^2-3x/(sqrt(x+1)))	\frac{d}{dx}(\frac{x^{2}-3x}{\sqrt{x+1}})
integral of 9xe^{17x}	\int\:9xe^{17x}dx
integral of cot^3(2x)	\int\:\cot^{3}(2x)dx
derivative of (x^2+4)^7	derivative\:(x^{2}+4)^{7}
limit as x approaches a of 2-x	\lim\:_{x\to\:a}(2-x)
y^{''}-6y^'+9y=24-9t-(12te^{3t}+4e^{3t})	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=24-9t-(12te^{3t}+4e^{3t})
limit as x approaches 4-of x	\lim\:_{x\to\:4-}(x)
dx+(x+y+1)dy=0	dx+(x+y+1)dy=0
f(x)=x^3-x-1	f(x)=x^{3}-x-1
tangent of f(x)=(x+1)/(x-1),\at x=0	tangent\:f(x)=\frac{x+1}{x-1},\at\:x=0
5t*(dy)/(dt)+4y=sqrt(t)	5t\cdot\:\frac{dy}{dt}+4y=\sqrt{t}
integral from 2 to infinity of 2/(t^2-1)	\int\:_{2}^{\infty\:}\frac{2}{t^{2}-1}dt
derivative of (sqrt(9-x^2))(1/3)pix^2	derivative\:(\sqrt{9-x^{2}})(\frac{1}{3})πx^{2}
tangent of f(x)=(-3x^2+3)e^{2x},\at x=2	tangent\:f(x)=(-3x^{2}+3)e^{2x},\at\:x=2
integral of 1/(sqrt(3+x^2))	\int\:\frac{1}{\sqrt{3+x^{2}}}dx
integral of ((x^2)/3+7x)	\int\:(\frac{x^{2}}{3}+7x)dx
integral from-1 to 1 of 2\|x\|	\int\:_{-1}^{1}2\left\|x\right\|dx
derivative of 5+6/x+6/(x^2)	derivative\:5+\frac{6}{x}+\frac{6}{x^{2}}
(\partial)/(\partial y)(2yx^3)	\frac{\partial\:}{\partial\:y}(2yx^{3})
integral of-1/(3x^4)	\int\:-\frac{1}{3x^{4}}dx
(dy)/(dx)+(cot(x))y=2*csc(x)	\frac{dy}{dx}+(\cot(x))y=2\cdot\:\csc(x)
derivative of x*cos(((x)/((x-2))))	\frac{d}{dx}(x\cdot\:\cos(\frac{(x)}{(x-2)}))
limit as x approaches 0 of-e^x	\lim\:_{x\to\:0}(-e^{x})
x^2y^'=(x+1)y	x^{2}y^{\prime\:}=(x+1)y
integral from-1 to 0 of 1/(1+x^2)	\int\:_{-1}^{0}\frac{1}{1+x^{2}}dx
integral from 0 to 1 of-1(x^2+1)e^{-x}	\int\:_{0}^{1}-1(x^{2}+1)e^{-x}dx
(\partial)/(\partial x)(7-3x^2-3y^2)	\frac{\partial\:}{\partial\:x}(7-3x^{2}-3y^{2})
slope of (2.4)(6.12)	slope\:(2.4)(6.12)
limit as x approaches 0+of (x+1)^{inx}	\lim\:_{x\to\:0+}((x+1)^{inx})
sum from n=0 to infinity}(5^{2n of)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{5^{2n}}{n!}
tangent of 8-x^2	tangent\:8-x^{2}
derivative of (5^x+2/(5^x+1))	\frac{d}{dx}(\frac{5^{x}+2}{5^{x}+1})
integral of (14)/(1-cos(2x))	\int\:\frac{14}{1-\cos(2x)}dx
integral of 6x^2y-2x	\int\:6x^{2}y-2xdy
(\partial)/(\partial x)(yx^2+xy^2+yz^2)	\frac{\partial\:}{\partial\:x}(yx^{2}+xy^{2}+yz^{2})
integral of (e^x(1+x))/(cos^2(xe^x))	\int\:\frac{e^{x}(1+x)}{\cos^{2}(xe^{x})}dx

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