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Popular Calculus Problems

derivative of x/((1-2x^2))	\frac{d}{dx}(\frac{x}{(1-2x)^{2}})
integral of (cos(x))^5sin(x)	\int\:(\cos(x))^{5}\sin(x)dx
integral of (x^2+2x)^5(2x+2)	\int\:(x^{2}+2x)^{5}(2x+2)dx
derivative of x^5e^{-x}	\frac{d}{dx}(x^{5}e^{-x})
derivative of (3x+5/(x^2-x))	\frac{d}{dx}(\frac{3x+5}{x^{2}-x})
integral of 5/(xln(6x))	\int\:\frac{5}{x\ln(6x)}dx
integral from 0 to 3 of xsqrt(16-x^2)	\int\:_{0}^{3}x\sqrt{16-x^{2}}dx
integral of 1/(x^2sqrt(x^2-3))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-3}}dx
limit as x approaches 0 of-xln(x)-x	\lim\:_{x\to\:0}(-x\ln(x)-x)
integral of x*sqrt(x)	\int\:x\cdot\:\sqrt{x}dx
derivative of 1/(x-1)	derivative\:\frac{1}{x-1}
x*y^'=sqrt(x^2-2xy-y^2)+y	x\cdot\:y^{\prime\:}=\sqrt{x^{2}-2xy-y^{2}}+y
integral of 3xsqrt(2x^2+1)	\int\:3x\sqrt{2x^{2}+1}dx
(\partial)/(\partial y)(4ze^{xyz})	\frac{\partial\:}{\partial\:y}(4ze^{xyz})
limit as x approaches-9-of (-6x)/(x+9)	\lim\:_{x\to\:-9-}(\frac{-6x}{x+9})
derivative of (x+3/(x^2+3))	\frac{d}{dx}(\frac{x+3}{x^{2}+3})
area x=28-7y^2,x=7y^2-28	area\:x=28-7y^{2},x=7y^{2}-28
(dy)/(dx)=-y^2	\frac{dy}{dx}=-y^{2}
derivative of-5csc(x+sec(x))	\frac{d}{dx}(-5\csc(x)+\sec(x))
derivative of-(12/((x+2)^2))	\frac{d}{dx}(-\frac{12}{(x+2)^{2}})
derivative of 2/((x+2)^3)	derivative\:\frac{2}{(x+2)^{3}}
derivative of f(x)=6^x	derivative\:f(x)=6^{x}
(\partial)/(\partial y)(x^3+y^3-3xy)	\frac{\partial\:}{\partial\:y}(x^{3}+y^{3}-3xy)
area f(x)=4-3x,g(x)=2x^2-x	area\:f(x)=4-3x,g(x)=2x^{2}-x
integral from-3 to-2 of x^2e^{x^3+27}	\int\:_{-3}^{-2}x^{2}e^{x^{3}+27}dx
limit as x approaches 2 of 2x-9	\lim\:_{x\to\:2}(2x-9)
(\partial)/(\partial x)(-(xy)/((1+x)^3))	\frac{\partial\:}{\partial\:x}(-\frac{xy}{(1+x)^{3}})
tangent of y=sqrt(x)(1.1)	tangent\:y=\sqrt{x}(1.1)
derivative of x^3-8	\frac{d}{dx}(x^{3}-8)
limit as x approaches 0 of ((x-1)^3+1)/x	\lim\:_{x\to\:0}(\frac{(x-1)^{3}+1}{x})
integral from 0 to 8 of e^{x/2}	\int\:_{0}^{8}e^{\frac{x}{2}}dx
derivative of f(x)=x+(49)/x	derivative\:f(x)=x+\frac{49}{x}
(\partial)/(\partial x)(x^3)	\frac{\partial\:}{\partial\:x}(x^{3})
y^'+10y=20	y^{\prime\:}+10y=20
sum from n=1 to infinity of n+(7/8)^n	\sum\:_{n=1}^{\infty\:}n+(\frac{7}{8})^{n}
tangent of y=x^3-x^2+x-1,(1,0)	tangent\:y=x^{3}-x^{2}+x-1,(1,0)
integral of x^4ln^2(x)	\int\:x^{4}\ln^{2}(x)dx
derivative of (4x/(x+4))	\frac{d}{dx}(\frac{4x}{x+4})
tangent of y=8+5x^2-2x^3	tangent\:y=8+5x^{2}-2x^{3}
inverse oflaplace (4s)/((s+2)^2)	inverselaplace\:\frac{4s}{(s+2)^{2}}
d/(dy)(x/y)	\frac{d}{dy}(\frac{x}{y})
integral from 0 to pi/(12) of tan(6x)	\int\:_{0}^{\frac{π}{12}}\tan(6x)dx
derivative of (x+6)/(x^3+x-7)	derivative\:\frac{x+6}{x^{3}+x-7}
integral of x(x+4)^6	\int\:x(x+4)^{6}dx
integral from 0 to 1 of cos^2(x)	\int\:_{0}^{1}\cos^{2}(x)dx
derivative of ln(6x+1)	\frac{d}{dx}(\ln(6x+1))
(\partial)/(\partial x)(yz-ln(x+z))	\frac{\partial\:}{\partial\:x}(yz-\ln(x+z))
f(x)=x^2sqrt(2x+4)	f(x)=x^{2}\sqrt{2x+4}
integral of \sqrt[3]{tan(2x)}sec^2(2x)	\int\:\sqrt[3]{\tan(2x)}\sec^{2}(2x)dx
x^2(dy)/(dx)+xy=3	x^{2}\frac{dy}{dx}+xy=3
derivative of (1+cos(2x)^{-4})	\frac{d}{dx}((1+\cos(2x))^{-4})
derivative of 1/((3+x^2))	\frac{d}{dx}(\frac{1}{(3+x)^{2}})
integral of e^{6x+7}	\int\:e^{6x+7}dx
tangent of 3/(1+x^2)	tangent\:\frac{3}{1+x^{2}}
tangent of xy-picos(y)=3pi,(2,pi)	tangent\:xy-π\cos(y)=3π,(2,π)
(\partial}{\partial t}(\frac{2r+s)/t)	\frac{\partial\:}{\partial\:t}(\frac{2r+s}{t})
derivative of-12sin(6x)	\frac{d}{dx}(-12\sin(6x))
derivative of y=(3x+4)^2	derivative\:y=(3x+4)^{2}
limit as x approaches 0 of (x^2+5)/(3^x)	\lim\:_{x\to\:0}(\frac{x^{2}+5}{3^{x}})
sum from n=1 to infinity of (-1)^n2^{-n}	\sum\:_{n=1}^{\infty\:}(-1)^{n}2^{-n}
tangent of y=sin(2x),\at x= pi/4	tangent\:y=\sin(2x),\at\:x=\frac{π}{4}
(\partial)/(\partial x)(sin(x^2))	\frac{\partial\:}{\partial\:x}(\sin(x^{2}))
derivative of 2x-5	derivative\:2x-5
derivative of ln(1/(xsqrt(x+1)))	\frac{d}{dx}(\ln(\frac{1}{x\sqrt{x+1}}))
derivative of arccos(1/x)	\frac{d}{dx}(\arccos(\frac{1}{x}))
limit as x approaches 3-of (6x)/(x-3)	\lim\:_{x\to\:3-}(\frac{6x}{x-3})
integral of sin(4x-7)	\int\:\sin(4x-7)dx
integral from-2 to 3 of (16)/(x^4)	\int\:_{-2}^{3}\frac{16}{x^{4}}dx
derivative of f(x)=6sqrt(x^3)	derivative\:f(x)=6\sqrt{x^{3}}
integral of 5x^2-7x+4	\int\:5x^{2}-7x+4dx
tangent of (2x+2)^{1/4}	tangent\:(2x+2)^{\frac{1}{4}}
integral of 3\sqrt[4]{x^3}	\int\:3\sqrt[4]{x^{3}}dx
(\partial)/(\partial x)(-6y^6sin(6x))	\frac{\partial\:}{\partial\:x}(-6y^{6}\sin(6x))
(dy)/(dx)=3x^2	\frac{dy}{dx}=3x^{2}
derivative of f(x)=(3-x)/(x+1)	derivative\:f(x)=\frac{3-x}{x+1}
derivative of e^{-x}cos(5x)	\frac{d}{dx}(e^{-x}\cos(5x))
slope of (8 1/7 ,9),(4,3.2)	slope\:(8\frac{1}{7},9),(4,3.2)
limit as x approaches 0 of ((3e^{-x}-3))/(x^2-2x)	\lim\:_{x\to\:0}(\frac{(3e^{-x}-3)}{x^{2}-2x})
derivative of y=sin^2(x)-cos^2(x)	derivative\:y=\sin^{2}(x)-\cos^{2}(x)
limit as x approaches-35 of 34+x	\lim\:_{x\to\:-35}(34+x)
(\partial)/(\partial y)(ye^y)	\frac{\partial\:}{\partial\:y}(ye^{y})
integral of (e^{8x}(e^{-6x}))/(-15e^x)	\int\:\frac{e^{8x}(e^{-6x})}{-15e^{x}}dx
derivative of 5xln(7x-5x)	\frac{d}{dx}(5x\ln(7x)-5x)
integral of e^{5x}sin(3x)	\int\:e^{5x}\sin(3x)dx
tangent of x^3+y^3=6xy,(3,3)	tangent\:x^{3}+y^{3}=6xy,(3,3)
derivative of x-x^3	derivative\:x-x^{3}
integral of (3e^{2x})/(e^{2x)+15e^x+54}	\int\:\frac{3e^{2x}}{e^{2x}+15e^{x}+54}dx
f(x)= 4/(x^2)	f(x)=\frac{4}{x^{2}}
integral of t/(e^{t^2)}	\int\:\frac{t}{e^{t^{2}}}dt
integral from 0 to infinity of x^3e^{-x}	\int\:_{0}^{\infty\:}x^{3}e^{-x}dx
derivative of sech(x)	\frac{d}{dx}(\sech(x))
derivative of x^3*e^x	derivative\:x^{3}\cdot\:e^{x}
limit as x approaches 1 of-2/(x^3)	\lim\:_{x\to\:1}(-\frac{2}{x^{3}})
integral of (7x^6)/((4+x^7)^5)	\int\:\frac{7x^{6}}{(4+x^{7})^{5}}dx
integral of sin(5)(t)cos(6)(t)	\int\:\sin(5)(t)\cos(6)(t)dt
integral of 3x(x^2+1)^{1/2}	\int\:3x(x^{2}+1)^{\frac{1}{2}}dx
integral of (x^{1/3}-x^{2/3})^2	\int\:(x^{\frac{1}{3}}-x^{\frac{2}{3}})^{2}dx
derivative of csc(x)cot(x)	derivative\:\csc(x)\cot(x)
derivative of y=(sin(3x))^{ln(x)}	derivative\:y=(\sin(3x))^{\ln(x)}
(\partial)/(\partial y)(ln(y^x))	\frac{\partial\:}{\partial\:y}(\ln(y^{x}))

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