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Popular Calculus Problems

derivative of e^X	derivative\:e^{X}
integral of y^2x	\int\:y^{2}xdy
xyy^'=4x^2+y^2	xyy^{\prime\:}=4x^{2}+y^{2}
derivative of-3x^{2/3}	derivative\:-3x^{\frac{2}{3}}
derivative of (sin(x-1)/(cos(x)+1))	\frac{d}{dx}(\frac{\sin(x)-1}{\cos(x)+1})
integral of (x+4)/(x^2-2x+1)	\int\:\frac{x+4}{x^{2}-2x+1}dx
derivative of arctan((x^2/y))	\frac{d}{dx}(\arctan(\frac{x^{2}}{y}))
tangent of 11x^{1/2}+x^{3/2}	tangent\:11x^{\frac{1}{2}}+x^{\frac{3}{2}}
integral from 1 to e of ln(5x)	\int\:_{1}^{e}\ln(5x)dx
derivative of sqrt(x)+1	derivative\:\sqrt{x}+1
derivative of \|x\|^a	\frac{d}{dx}(\left\|x\right\|^{a})
integral of 1/(x^2sqrt(36x^2-1))	\int\:\frac{1}{x^{2}\sqrt{36x^{2}-1}}dx
tangent of x^{sin(x)}	tangent\:x^{\sin(x)}
tangent of f(x)=(3x)/((x+1)^2),\at x=0	tangent\:f(x)=\frac{3x}{(x+1)^{2}},\at\:x=0
f(x)= 1/(x^2+1)	f(x)=\frac{1}{x^{2}+1}
derivative of 4sin^3(x)	\frac{d}{dx}(4\sin^{3}(x))
derivative of (log_{10}(x)^{log_{10}(x)})	\frac{d}{dx}((\log_{10}(x))^{\log_{10}(x)})
y^'=2-y	y^{\prime\:}=2-y
area 3x,x^2-4	area\:3x,x^{2}-4
derivative of picos(pix)	\frac{d}{dx}(π\cos(πx))
(dP)/(dt)+3P=90	\frac{dP}{dt}+3P=90
derivative of x^4-1/3 x^3-3/2 x^2	\frac{d}{dx}(x^{4}-\frac{1}{3}x^{3}-\frac{3}{2}x^{2})
sum from n=0 to infinity of (n-1)/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{n-1}{n+1}
area x^2-4x+3,x	area\:x^{2}-4x+3,x
derivative of (4t+2)^2(2t^2-9)^{-3}	derivative\:(4t+2)^{2}(2t^{2}-9)^{-3}
taylor 2e^x	taylor\:2e^{x}
integral from 0 to pi of cos^6(θ)	\int\:_{0}^{π}\cos^{6}(θ)dθ
derivative of-1/7	\frac{d}{dx}(-\frac{1}{7})
f(x)=(2e^{6x-5})/3	f(x)=\frac{2e^{6x-5}}{3}
integral of 5/(x-6)	\int\:\frac{5}{x-6}dx
y^{''}-2y^'-3y=3e^{2t}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=3e^{2t}
integral of sqrt(9+y^2)	\int\:\sqrt{9+y^{2}}dy
tangent of f(x)= 3/(x^2),\at x=2	tangent\:f(x)=\frac{3}{x^{2}},\at\:x=2
(\partial)/(\partial x)(y^{3x})	\frac{\partial\:}{\partial\:x}(y^{3x})
f(x)=x+2,x,x=1,x=3	f(x)=x+2,x,x=1,x=3
derivative of (25/x)	\frac{d}{dx}(\frac{25}{x})
integral of x/(x^2+5)	\int\:\frac{x}{x^{2}+5}dx
(dy)/(dx)=e^{4x}+7y	\frac{dy}{dx}=e^{4x}+7y
integral of (7x^3+3x)/(x-1)	\int\:\frac{7x^{3}+3x}{x-1}dx
integral of 3e^{-2x}	\int\:3e^{-2x}dx
derivative of (2x^4)/(cos(x)e^x)	derivative\:\frac{2x^{4}}{\cos(x)e^{x}}
limit as x approaches 3+of (\|x-3\|)/(x-3)	\lim\:_{x\to\:3+}(\frac{\left\|x-3\right\|}{x-3})
integral of 1/(1-sin(x))	\int\:\frac{1}{1-\sin(x)}dx
limit as x approaches 0 of (sin(2)(x))/x	\lim\:_{x\to\:0}(\frac{\sin(2)(x)}{x})
derivative of 1/(u^2)	derivative\:\frac{1}{u^{2}}
derivative of ((6+7x))/((x^4+5x-5))	derivative\:\frac{(6+7x)}{(x^{4}+5x-5)}
sum from k=2 to infinity of 8/(4^{2k)}	\sum\:_{k=2}^{\infty\:}\frac{8}{4^{2k}}
derivative of f(x)=-x+3sin(x)	derivative\:f(x)=-x+3\sin(x)
integral of 6xsqrt(1-3x^2)	\int\:6x\sqrt{1-3x^{2}}dx
derivative of-4/(x^4)	\frac{d}{dx}(-\frac{4}{x^{4}})
(\partial)/(\partial x)(3y^2e^x-4x)	\frac{\partial\:}{\partial\:x}(3y^{2}e^{x}-4x)
(\partial)/(\partial x)(x^2yz)	\frac{\partial\:}{\partial\:x}(x^{2}yz)
integral of (xy)/(sqrt(x^2+y^2+1))	\int\:\frac{xy}{\sqrt{x^{2}+y^{2}+1}}dx
derivative of 3x^4+(2x-1^2)	\frac{d}{dx}(3x^{4}+(2x-1)^{2})
integral from 1 to 4 of 1/(sqrt(4-x))	\int\:_{1}^{4}\frac{1}{\sqrt{4-x}}dx
integral of (3x)/((x^2+1)^2)	\int\:\frac{3x}{(x^{2}+1)^{2}}dx
integral of (2^x)/(ln(2))x	\int\:\frac{2^{x}}{\ln(2)}xdx
(dy)/(dx)=((y^2+xy+x^2))/(x^2)	\frac{dy}{dx}=\frac{(y^{2}+xy+x^{2})}{x^{2}}
derivative of f(x)=\sqrt[9]{x}	derivative\:f(x)=\sqrt[9]{x}
integral from 0 to 2 of 2	\int\:_{0}^{2}2dx
derivative of f(x)=(x+2)(e^{-x})	derivative\:f(x)=(x+2)(e^{-x})
integral of 3xcos(9x)	\int\:3x\cos(9x)dx
tangent of f(x)=x^3-2x+1	tangent\:f(x)=x^{3}-2x+1
derivative of 800sqrt(x^2-0.3x)	derivative\:800\sqrt{x^{2}-0.3x}
derivative of log_{3}(sec(x))	\frac{d}{dx}(\log_{3}(\sec(x)))
tangent of f(x)= x/(1+x^2),(0,0)	tangent\:f(x)=\frac{x}{1+x^{2}},(0,0)
derivative of (3-sec(x)/(tan(x)))	\frac{d}{dx}(\frac{3-\sec(x)}{\tan(x)})
(\partial)/(\partial y)(ln(x-2y+3z))	\frac{\partial\:}{\partial\:y}(\ln(x-2y+3z))
integral from-e^2 to-e of 3/x	\int\:_{-e^{2}}^{-e}\frac{3}{x}dx
integral of 1/(x^2+4x+3)	\int\:\frac{1}{x^{2}+4x+3}dx
derivative of sin(xy)	derivative\:\sin(xy)
tangent of f(x)=(x^3-4x)^8,(2,0)	tangent\:f(x)=(x^{3}-4x)^{8},(2,0)
integral of (3sqrt(y)-2y^{-3})	\int\:(3\sqrt{y}-2y^{-3})dy
limit as x approaches infinity of (ln(3x+5))/(ln(7x+3)+1)	\lim\:_{x\to\:\infty\:}(\frac{\ln(3x+5)}{\ln(7x+3)+1})
(dx)/(dt)+7x=5cos(2t)	\frac{dx}{dt}+7x=5\cos(2t)
sum from n=1 to infinity of (n^3)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{3}}{4^{n}}
limit as x approaches 1 of [g(x)-3f(x)]	\lim\:_{x\to\:1}([g(x)-3f(x)])
integral of e^y	\int\:e^{y}dy
(\partial)/(\partial y)(e^y+x)	\frac{\partial\:}{\partial\:y}(e^{y}+x)
derivative of f(x)= 5/(sqrt(x))	derivative\:f(x)=\frac{5}{\sqrt{x}}
limit as x approaches 0 of e^3-e^{x+3}	\lim\:_{x\to\:0}(e^{3}-e^{x+3})
integral from 1 to 7 of 6/(x^2)	\int\:_{1}^{7}\frac{6}{x^{2}}dx
t^2y^{''}-2y=6t^2-1	t^{2}y^{\prime\:\prime\:}-2y=6t^{2}-1
d/(dy)(y(2x+y^3))	\frac{d}{dy}(y(2x+y^{3}))
integral of 2sin(x)-tan(x)	\int\:2\sin(x)-\tan(x)dx
(\partial)/(\partial x)(sin(pi(4x-y)))	\frac{\partial\:}{\partial\:x}(\sin(π(4x-y)))
(dp)/(2(p+3))=(dv)/(-v)	\frac{dp}{2(p+3)}=\frac{dv}{-v}
limit as x approaches 0+of xsin(x)	\lim\:_{x\to\:0+}(x\sin(x))
integral of x^2xe^{x^2}	\int\:x^{2}xe^{x^{2}}dx
y^3-(14x+2)+3xy^2y^'=0	y^{3}-(14x+2)+3xy^{2}y^{\prime\:}=0
derivative of \sqrt[5]{x^4}-5/x	derivative\:\sqrt[5]{x^{4}}-\frac{5}{x}
derivative of 7sin(2x+3tan(x-1))	\frac{d}{dx}(7\sin(2x)+3\tan(x-1))
integral of 1/((x^2-2x+5)^{3/2)}	\int\:\frac{1}{(x^{2}-2x+5)^{\frac{3}{2}}}dx
y^{'''}-5y^{''}-22y^'+56y=0	y^{\prime\:\prime\:\prime\:}-5y^{\prime\:\prime\:}-22y^{\prime\:}+56y=0
tangent of y=(x^3-2)(x^2-3x+1),(2,-6)	tangent\:y=(x^{3}-2)(x^{2}-3x+1),(2,-6)
(dx)/(dt)=7x	\frac{dx}{dt}=7x
slope of 4x+3x^2	slope\:4x+3x^{2}
maclaurin (1-x^2)^{-1/2}	maclaurin\:(1-x^{2})^{-\frac{1}{2}}
integral of 2x(x^2+3)^{-4}	\int\:2x(x^{2}+3)^{-4}dx
integral of (x-17)/(x^2+x-12)	\int\:\frac{x-17}{x^{2}+x-12}dx

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