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Popular Calculus Problems

derivative of f(x)=4x^2+2x-3	derivative\:f(x)=4x^{2}+2x-3
integral of (cos(2y)-3x^2y^2)	\int\:(\cos(2y)-3x^{2}y^{2})dx
derivative of 1/(2sqrt(3x-1))	\frac{d}{dx}(\frac{1}{2\sqrt{3x-1}})
tangent of f(x)=8(x-1/x)^4,\at x=2	tangent\:f(x)=8(x-\frac{1}{x})^{4},\at\:x=2
deg2rad (sin(x'))^'	deg2rad\:(\sin(x\prime\:))^{\prime\:}
derivative of x-sqrt(2+((x+1)^2)/2)	derivative\:x-\sqrt{2+\frac{(x+1)^{2}}{2}}
integral from 0 to 1 of pi(y-y^2)	\int\:_{0}^{1}π(y-y^{2})dy
derivative of \sqrt[3]{t^2}+4sqrt(t^5)	derivative\:\sqrt[3]{t^{2}}+4\sqrt{t^{5}}
(\partial)/(\partial x)(xe^z)	\frac{\partial\:}{\partial\:x}(xe^{z})
integral of e^{it}	\int\:e^{it}dt
limit as x approaches infinity of 7/x-1	\lim\:_{x\to\:\infty\:}(\frac{7}{x}-1)
y^{''}+5y^'+4y=sin(t)	y^{\prime\:\prime\:}+5y^{\prime\:}+4y=\sin(t)
derivative of-3t(2t^4-1)^7	derivative\:-3t(2t^{4}-1)^{7}
derivative of f(x)=ln(8-9x)	derivative\:f(x)=\ln(8-9x)
area 7x^2,sqrt(1/7 x)	area\:7x^{2},\sqrt{\frac{1}{7}x}
integral of (3x)/(x^2+4)	\int\:\frac{3x}{x^{2}+4}dx
(\partial)/(\partial x)(4xy+x^4+y^4)	\frac{\partial\:}{\partial\:x}(4xy+x^{4}+y^{4})
derivative of sqrt(y-x)	\frac{d}{dx}(\sqrt{y-x})
limit as x approaches 1 of (x^2)/(x^3-x)	\lim\:_{x\to\:1}(\frac{x^{2}}{x^{3}-x})
derivative of cos(xtan(x))	\frac{d}{dx}(\cos(x)\tan(x))
tangent of f(x)= x/(1+x^2),(2, 2/5)	tangent\:f(x)=\frac{x}{1+x^{2}},(2,\frac{2}{5})
derivative of 1/6 y^3+1/(2y)	derivative\:\frac{1}{6}y^{3}+\frac{1}{2y}
sum from n=1 to infinity of n/(4n+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{4n+1}
(\partial)/(\partial y)(x^3-y^3+6xy)	\frac{\partial\:}{\partial\:y}(x^{3}-y^{3}+6xy)
derivative of xy^2-x^3y=0	\frac{d}{dx}(xy^{2}-x^{3}y)=0
slope of (-21.2,22.8),(-20.2,7.4)	slope\:(-21.2,22.8),(-20.2,7.4)
sum from n=1 to infinity of 5/(pi^n)	\sum\:_{n=1}^{\infty\:}\frac{5}{π^{n}}
integral of ((x+4))/(x^2+11x+18)	\int\:\frac{(x+4)}{x^{2}+11x+18}dx
derivative of xcos(x^2+1-ln(3-x))	\frac{d}{dx}(x\cos(x^{2}+1)-\ln(3-x))
integral of (2arctan(n))/(1+n^2)	\int\:\frac{2\arctan(n)}{1+n^{2}}dn
integral from 6 to 7 of x/(x^2+4x+20)	\int\:_{6}^{7}\frac{x}{x^{2}+4x+20}dx
integral of (x^3)/(sqrt(x^2+\sqrt{2))}	\int\:\frac{x^{3}}{\sqrt{x^{2}+\sqrt{2}}}dx
integral of (cos(ax))/(1-sin(ax))	\int\:\frac{\cos(ax)}{1-\sin(ax)}dx
sum from n=1 to infinity of (x^n)/(4n-1)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{4n-1}
derivative of y=e^{(4x+3)}	derivative\:y=e^{(4x+3)}
tangent of (\|x\|)/(sqrt(2-x^2))	tangent\:\frac{\left\|x\right\|}{\sqrt{2-x^{2}}}
(1+x^2)y^'+2xy= 1/((1+x^2)y)	(1+x^{2})y^{\prime\:}+2xy=\frac{1}{(1+x^{2})y}
y^'-y=0	y^{\prime\:}-y=0
(\partial)/(\partial x)(3x^2y-y^3)	\frac{\partial\:}{\partial\:x}(3x^{2}y-y^{3})
derivative of 2cos(t)	derivative\:2\cos(t)
derivative of (xsin^2(x)/(e^x-1))	\frac{d}{dx}(\frac{x\sin^{2}(x)}{e^{x}-1})
limit as x approaches-1 of (x+1)/(x+1)	\lim\:_{x\to\:-1}(\frac{x+1}{x+1})
integral of 3sin(x)-2cos(x)	\int\:3\sin(x)-2\cos(x)dx
derivative of y=70x^{-4}	derivative\:y=70x^{-4}
integral from 0 to 1 of sin^2(x)	\int\:_{0}^{1}\sin^{2}(x)dx
derivative of x+h	\frac{d}{dx}(x+h)
tangent of y=(sqrt(x))/(x+1)	tangent\:y=\frac{\sqrt{x}}{x+1}
limit as x approaches 0 of (x^2)/(x-2)	\lim\:_{x\to\:0}(\frac{x^{2}}{x-2})
derivative of sin(xe^x)	\frac{d}{dx}(\sin(x)e^{x})
integral of 1/(2x(x-1))	\int\:\frac{1}{2x(x-1)}dx
derivative of 5x^3	derivative\:5x^{3}
integral of xsin^2(3x)	\int\:x\sin^{2}(3x)dx
integral of 3t	\int\:3tdt
derivative of 1-xsqrt(x)	derivative\:1-x\sqrt{x}
(\partial)/(\partial z)(ycos(z))	\frac{\partial\:}{\partial\:z}(y\cos(z))
derivative of 3x+sqrt(3x)	derivative\:3x+\sqrt{3x}
area (y^2)/2 =x,x=2y	area\:\frac{y^{2}}{2}=x,x=2y
integral of 5(9x-4)^4	\int\:5(9x-4)^{4}dx
integral of (10^x-1/(sqrt(x)))	\int\:(10^{x}-\frac{1}{\sqrt{x}})dx
derivative of x^2+6x+10	\frac{d}{dx}(x^{2}+6x+10)
integral of 6x^4-6x^3+5x^2+C	\int\:6x^{4}-6x^{3}+5x^{2}+Cdx
inverse oflaplace (50)/(1-3s^2)	inverselaplace\:\frac{50}{1-3s^{2}}
(\partial)/(\partial x)(s^8t+st^{-6})	\frac{\partial\:}{\partial\:x}(s^{8}t+st^{-6})
slope of 5xy^5+8xy=39,(3,1)	slope\:5xy^{5}+8xy=39,(3,1)
integral from 1 to 3 of 3/(x^2+4x+4)	\int\:_{1}^{3}\frac{3}{x^{2}+4x+4}dx
derivative of sin(θ)+θcos(θ)	derivative\:\sin(θ)+θ\cos(θ)
limit as x approaches 0 of (3x^2+3)/3	\lim\:_{x\to\:0}(\frac{3x^{2}+3}{3})
maclaurin f(x)=sin(8x)	maclaurin\:f(x)=\sin(8x)
derivative of x^pipi^x	derivative\:x^{π}π^{x}
derivative of f(x)=4x^{3/5}	derivative\:f(x)=4x^{\frac{3}{5}}
integral from-9 to 9 of sqrt(58)	\int\:_{-9}^{9}\sqrt{58}
limit as x approaches 0 of (x+3)/x	\lim\:_{x\to\:0}(\frac{x+3}{x})
integral of (sin^2(x)+cos^2(x))	\int\:(\sin^{2}(x)+\cos^{2}(x))dx
tangent of x^2+xy-y^2=-1,(3,5)	tangent\:x^{2}+xy-y^{2}=-1,(3,5)
simplify (4x^2+4x+8)/(sqrt(x))	simplify\:\frac{4x^{2}+4x+8}{\sqrt{x}}
integral of e^{12x}(12)	\int\:e^{12x}(12)dx
derivative of f(x)=3x^2cos(x)+8x	derivative\:f(x)=3x^{2}\cos(x)+8x
limit as x approaches 0+of (sin(x))^x	\lim\:_{x\to\:0+}((\sin(x))^{x})
integral of cot^3(3x)	\int\:\cot^{3}(3x)dx
taylor x^2e^{-x}	taylor\:x^{2}e^{-x}
derivative of (-2/(9x^{5/3)})	\frac{d}{dx}(\frac{-2}{9x^{\frac{5}{3}}})
integral from 6 to 7 of x/(x^2+4x+13)	\int\:_{6}^{7}\frac{x}{x^{2}+4x+13}dx
(\partial)/(\partial y)(7(x+5y-4)^2)	\frac{\partial\:}{\partial\:y}(7(x+5y-4)^{2})
integral from-2 to 2 of (4x^3+6x^2-8x+5)	\int\:_{-2}^{2}(4x^{3}+6x^{2}-8x+5)dx
integral of 2400xsqrt(3+2x)	\int\:2400x\sqrt{3+2x}dx
integral from 0 to 1 of (2x)/(x^2+1)	\int\:_{0}^{1}\frac{2x}{x^{2}+1}dx
inverse oflaplace s/(1+s)	inverselaplace\:\frac{s}{1+s}
integral of x/(\sqrt[3]{x^2+1)}	\int\:\frac{x}{\sqrt[3]{x^{2}+1}}dx
5(dy)/(dx)+45y=9	5\frac{dy}{dx}+45y=9
derivative of x^2cos(yy^')	\frac{d}{dx}(x^{2}\cos(y)y^{\prime\:})
derivative of 1-e^{2x}	\frac{d}{dx}(1-e^{2x})
y^{''}+3y^'-28y=0	y^{\prime\:\prime\:}+3y^{\prime\:}-28y=0
y^'=-y^3,y(0)=1	y^{\prime\:}=-y^{3},y(0)=1
integral of 1/(x^2)+x	\int\:\frac{1}{x^{2}}+xdx
derivative of x^{{z}(x})	\frac{d}{dx}(x^{{z}(x)})
limit as x approaches 2-of 3x+6	\lim\:_{x\to\:2-}(3x+6)
(\partial)/(\partial y)(xcos(xy))	\frac{\partial\:}{\partial\:y}(x\cos(xy))
(\partial)/(\partial y)(x^2+xy-25)	\frac{\partial\:}{\partial\:y}(x^{2}+xy-25)
integral of 2y-1	\int\:2y-1dy
y^'+y=2te^{-t}+t^2	y^{\prime\:}+y=2te^{-t}+t^{2}

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