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Popular Calculus Problems

integral of 6x^5-2x^4-9x^2	\int\:6x^{5}-2x^{4}-9x^{2}dx
tangent of 4x^2-3x-5	tangent\:4x^{2}-3x-5
integral of ((x^2+1)^2)/(x^2)	\int\:\frac{(x^{2}+1)^{2}}{x^{2}}dx
integral of cos(x)(e^{7sin(x)})	\int\:\cos(x)(e^{7\sin(x)})dx
tangent of ((-8x))/(sqrt(2x-1))	tangent\:\frac{(-8x)}{\sqrt{2x-1}}
y^'=(2xy^2+8x)/((x^2y+3y))	y^{\prime\:}=\frac{2xy^{2}+8x}{(x^{2}y+3y)}
limit as x approaches 0+of (e^x-1)^x	\lim\:_{x\to\:0+}((e^{x}-1)^{x})
integral of t(ln(t))^2	\int\:t(\ln(t))^{2}dt
limit as x approaches 0-of 5/(tan(x))	\lim\:_{x\to\:0-}(\frac{5}{\tan(x)})
integral of e^{-x}*x^2	\int\:e^{-x}\cdot\:x^{2}dx
derivative of arcsin(1/t)	derivative\:\arcsin(\frac{1}{t})
(\partial)/(\partial x)(e^{-7x}cos(3pit))	\frac{\partial\:}{\partial\:x}(e^{-7x}\cos(3πt))
tangent of 10-2e^x	tangent\:10-2e^{x}
derivative of sin(4x-5)	\frac{d}{dx}(\sin(4x-5))
(x/(sin(y))+2)dx+((x^2+1)cos(y))/(cos(2y)-1)dy=0	(\frac{x}{\sin(y)}+2)dx+\frac{(x^{2}+1)\cos(y)}{\cos(2y)-1}dy=0
integral of e^{6x+e^{6x}}	\int\:e^{6x+e^{6x}}dx
slope of (-4.4)(-6.6)	slope\:(-4.4)(-6.6)
integral of (x+4)^3	\int\:(x+4)^{3}dx
(\partial)/(\partial x)(2x^2cos(xy))	\frac{\partial\:}{\partial\:x}(2x^{2}\cos(xy))
tangent of f(x)=(x^2+36)(2x+21),\at x=-4	tangent\:f(x)=(x^{2}+36)(2x+21),\at\:x=-4
integral of (cosh(x))/(sinh(x))	\int\:\frac{\cosh(x)}{\sinh(x)}dx
limit as x approaches 0+of 2/(3x^{1/3)}	\lim\:_{x\to\:0+}(\frac{2}{3x^{\frac{1}{3}}})
derivative of f(x)=-4x^2	derivative\:f(x)=-4x^{2}
(\partial)/(\partial y)(xe^{2x-3y})	\frac{\partial\:}{\partial\:y}(xe^{2x-3y})
limit as x approaches 0 of (sin(4x)cos(3x))/(7x)	\lim\:_{x\to\:0}(\frac{\sin(4x)\cos(3x)}{7x})
limit as x approaches 0 of x^{x^3}	\lim\:_{x\to\:0}(x^{x^{3}})
limit as x approaches 1 of 3x-4	\lim\:_{x\to\:1}(3x-4)
derivative of e^{x^4+9x}	derivative\:e^{x^{4}+9x}
implicit (dy)/(dx),5cos(xy)=6x+7y	implicit\:\frac{dy}{dx},5\cos(xy)=6x+7y
integral of sin(2x)+cos(2x)	\int\:\sin(2x)+\cos(2x)dx
area x=y-y^2,x=y^2-3	area\:x=y-y^{2},x=y^{2}-3
y^{''}-4y^'-45y=0	y^{\prime\:\prime\:}-4y^{\prime\:}-45y=0
integral of cos^4(3t)	\int\:\cos^{4}(3t)dt
integral from-pi to pi of x	\int\:_{-π}^{π}xdx
derivative of ((x^2)/(5+8x))	\frac{d}{dx}(\frac{(x^{2})}{5+8x})
derivative of (20/(x^6))	\frac{d}{dx}(\frac{20}{x^{6}})
(d^2y)/(dx^2)+5(dy)/(dx)+6y=12e^x	\frac{d^{2}y}{dx^{2}}+5\frac{dy}{dx}+6y=12e^{x}
sum from n=1 to infinity of (5+n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{5+n}{n!}
y^'+100y=0	y^{\prime\:}+100y=0
sum from n=1 to infinity of 2^n*3^{-n}	\sum\:_{n=1}^{\infty\:}2^{n}\cdot\:3^{-n}
y=3cos(x^2-1)	y=3\cos(x^{2}-1)
integral of sqrt(6x+5)	\int\:\sqrt{6x+5}dx
implicit sin(y)=5x^3-5	implicit\:\sin(y)=5x^{3}-5
tangent of f(x)=x^2-x+1,\at x=-1	tangent\:f(x)=x^{2}-x+1,\at\:x=-1
limit as h approaches 0 of 6x+3h	\lim\:_{h\to\:0}(6x+3h)
derivative of 1+sqrt(2x)	\frac{d}{dx}(1+\sqrt{2x})
(\partial)/(\partial x)(xy^2+x)	\frac{\partial\:}{\partial\:x}(xy^{2}+x)
(dy)/(dx)-yx-y^2=0	\frac{dy}{dx}-yx-y^{2}=0
integral of 2/(v^2)	\int\:\frac{2}{v^{2}}dv
(sin^3(x))^'	(\sin^{3}(x))^{\prime\:}
derivative of y=9arctan(x+sqrt(1+x^2))	derivative\:y=9\arctan(x+\sqrt{1+x^{2}})
((ln(x))^2)^'	((\ln(x))^{2})^{\prime\:}
limit as x approaches-8 of (8-\|x\|)/(8+x)	\lim\:_{x\to\:-8}(\frac{8-\left\|x\right\|}{8+x})
integral of (14)/(x^2-1)	\int\:\frac{14}{x^{2}-1}dx
derivative of ln(x^2-12x)	\frac{d}{dx}(\ln(x^{2}-12x))
integral of 4sin^5(x)cos(x)	\int\:4\sin^{5}(x)\cos(x)dx
integral from 1 to 4 of-4sqrt(t)ln(t)	\int\:_{1}^{4}-4\sqrt{t}\ln(t)dt
derivative of-235	\frac{d}{dx}(-235)
derivative of sin(x^4)	derivative\:\sin(x^{4})
derivative of y=9^{5^{x^2}}	derivative\:y=9^{5^{x^{2}}}
area y=2,y=2sin(x),[0, pi/2 ]	area\:y=2,y=2\sin(x),[0,\frac{π}{2}]
(\partial)/(\partial z)(x/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:z}(\frac{x}{x^{2}+y^{2}+z^{2}})
implicit (dy)/(dx),x^8+y^7=5	implicit\:\frac{dy}{dx},x^{8}+y^{7}=5
(e^{3t})^'	(e^{3t})^{\prime\:}
integral of-7/(x^2)-4	\int\:-\frac{7}{x^{2}}-4dx
integral of (3t^4-t^3+6t^2)/(t^4)	\int\:\frac{3t^{4}-t^{3}+6t^{2}}{t^{4}}dt
csc(y)dx+sec^2(x)dy=0	\csc(y)dx+\sec^{2}(x)dy=0
integral of et	\int\:etdt
limit as x approaches 0 of (\|x\|)/(x^2)	\lim\:_{x\to\:0}(\frac{\left\|x\right\|}{x^{2}})
integral of 1/(a+bsqrt(x))	\int\:\frac{1}{a+b\sqrt{x}}dx
integral of 1/(7+x^2)	\int\:\frac{1}{7+x^{2}}dx
(e^x+1)(dy)/(dx)=y-ye^x	(e^{x}+1)\frac{dy}{dx}=y-ye^{x}
limit as x approaches 0 of (cot(x))/x	\lim\:_{x\to\:0}(\frac{\cot(x)}{x})
tangent of y=3-2x^2,(-4,-29)	tangent\:y=3-2x^{2},(-4,-29)
integral of-1/(x^2)	\int\:-\frac{1}{x^{2}}dx
limit as x approaches-infinity of (x)^2	\lim\:_{x\to\:-\infty\:}((x)^{2})
integral of \sqrt[3]{8-7x^2}(-14x)	\int\:\sqrt[3]{8-7x^{2}}(-14x)dx
integral of sqrt(37)	\int\:\sqrt{37}
derivative of g(x)=3x^4	derivative\:g(x)=3x^{4}
tangent of f(x)= 3/x ,(5, 3/5)	tangent\:f(x)=\frac{3}{x},(5,\frac{3}{5})
integral of x^4e^{7x}	\int\:x^{4}e^{7x}dx
integral of (x^2-3)/(x(x^2-1))	\int\:\frac{x^{2}-3}{x(x^{2}-1)}dx
integral from 0 to pi of 4sec^2(x/4)	\int\:_{0}^{π}4\sec^{2}(\frac{x}{4})dx
(\partial)/(\partial x)(2x^3cos(xy))	\frac{\partial\:}{\partial\:x}(2x^{3}\cos(xy))
limit as x approaches 0 of 1/(3^x)	\lim\:_{x\to\:0}(\frac{1}{3^{x}})
derivative of f(x)=x^3+5x+7	derivative\:f(x)=x^{3}+5x+7
inverse oflaplace 4/(s^2+2s+4)	inverselaplace\:\frac{4}{s^{2}+2s+4}
derivative of 1/(ln(x+sqrt(1+x^2)))	\frac{d}{dx}(\frac{1}{\ln(x+\sqrt{1+x^{2}})})
(\partial)/(\partial s)(-(sqrt(s^2+t^2)))	\frac{\partial\:}{\partial\:s}(-(\sqrt{s^{2}+t^{2}}))
integral from 1 to e of ln(13x)	\int\:_{1}^{e}\ln(13x)dx
integral of e^{1-8t}	\int\:e^{1-8t}dt
(\partial)/(\partial u)(1/4 (u-v))	\frac{\partial\:}{\partial\:u}(\frac{1}{4}(u-v))
f(x)=(5^{4x^3}+e^{2x^3})/(12)	f(x)=\frac{5^{4x^{3}}+e^{2x^{3}}}{12}
derivative of (3x^2+6xsin(x))	\frac{d}{dx}((3x^{2}+6x)\sin(x))
integral of 9x^2e^{2x}	\int\:9x^{2}e^{2x}dx
limit as t approaches 0 of I(t)nt	\lim\:_{t\to\:0}(I(t)nt)
integral from 2 to infinity of-2x^{-2}	\int\:_{2}^{\infty\:}-2x^{-2}dx
derivative of 2/(sqrt(4x-3))	\frac{d}{dx}(\frac{2}{\sqrt{4x-3}})
integral of (t^3)/(sqrt(a^4+t^4))	\int\:\frac{t^{3}}{\sqrt{a^{4}+t^{4}}}dt
derivative of arctan(7x)	\frac{d}{dx}(\arctan(7x))

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