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Popular Calculus Problems

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})
limit as x approaches infinity of ln(0)	\lim\:_{x\to\:\infty\:}(\ln(0))
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
integral of 1/(sqrt(484+x^2))	\int\:\frac{1}{\sqrt{484+x^{2}}}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\:})
f(x)=2cos(3x)	f(x)=2\cos(3x)
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}
derivative of (2x^4-3x^3)	\frac{d}{dx}((2x^{4}-3x)^{3})
integral of 3/8	\int\:\frac{3}{8}dx
integral of (2x)/((x^2-1))	\int\:\frac{2x}{(x^{2}-1)}dx
derivative of f(x)=(x^2)/(4+x)	derivative\:f(x)=\frac{x^{2}}{4+x}
y^'+7y=9	y^{\prime\:}+7y=9
integral of (8xln(x))	\int\:(8x\ln(x))dx
limit as x approaches infinity of 3x+2	\lim\:_{x\to\:\infty\:}(3x+2)
d/(dy)(sqrt(y/2))	\frac{d}{dy}(\sqrt{\frac{y}{2}})
integral from 0 to 2 of x*1/2 (2-x)	\int\:_{0}^{2}x\cdot\:\frac{1}{2}(2-x)dx
derivative of 6x^3e^{-x}	\frac{d}{dx}(6x^{3}e^{-x})
derivative of f(x)=3sqrt(x)ln(x)	derivative\:f(x)=3\sqrt{x}\ln(x)
tangent of 1/3 x^3-7x+5	tangent\:\frac{1}{3}x^{3}-7x+5
sum from n=1 to infinity of (x^n)/(2^n)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{2^{n}}
limit as x approaches 0 of (f(x))/(g(x))	\lim\:_{x\to\:0}(\frac{f(x)}{g(x)})
integral of (a+bx^3)/(sqrt(4ax+bx^4))	\int\:\frac{a+bx^{3}}{\sqrt{4ax+bx^{4}}}dx
d/(d{z)}(({x)/y}{{z}})	\frac{d}{d{z}}(\frac{{x}{y}}{{z}})
integral of (3sin(t)cos^2(t))	\int\:(3\sin(t)\cos^{2}(t))dt
integral from 0 to 5 of (18)/(\sqrt[4]{3x+1)}	\int\:_{0}^{5}\frac{18}{\sqrt[4]{3x+1}}dx
integral of xcos(5pi)x^2	\int\:x\cos(5π)x^{2}dx
integral of (9x-18)/(x^3-2x^2-x+2)	\int\:\frac{9x-18}{x^{3}-2x^{2}-x+2}dx
(dy)/(dx)=(xy+5x-y-5)/(xy-2x+6y-12)	\frac{dy}{dx}=\frac{xy+5x-y-5}{xy-2x+6y-12}
derivative of (x^2+5x+1{f}(x)(sin(3x)))	\frac{d}{dx}((x^{2}+5x+1){f}(x)(\sin(3x)))
integral of x^2*sqrt(x-2)	\int\:x^{2}\cdot\:\sqrt{x-2}dx
integral of (7cos^5(x))/(sqrt(sin(x)))	\int\:\frac{7\cos^{5}(x)}{\sqrt{\sin(x)}}dx
integral of 5xln(6x)	\int\:5x\ln(6x)dx
derivative of y=x^3+4	derivative\:y=x^{3}+4
derivative of cos^2(sin(5e^x-16^x))	\frac{d}{dx}(\cos^{2}(\sin(5e^{x}-16^{x})))
integral of 1/(sqrt(t^3))	\int\:\frac{1}{\sqrt{t^{3}}}dt
(\partial)/(\partial x)((x)cos(x)cos(y))	\frac{\partial\:}{\partial\:x}((x)\cos(x)\cos(y))
y^'=(sec(y))/((x-4)^2)	y^{\prime\:}=\frac{\sec(y)}{(x-4)^{2}}
slope ofintercept (3,-4),(5,6)	slopeintercept\:(3,-4),(5,6)
derivative of 3/(sqrt(x+1))	\frac{d}{dx}(\frac{3}{\sqrt{x+1}})
integral of cot(x)csc(x)	\int\:\cot(x)\csc(x)dx
integral of sin(pi)x-3sin(3x)	\int\:\sin(π)x-3\sin(3x)dx
integral of sqrt((4-x)/x)	\int\:\sqrt{\frac{4-x}{x}}dx
derivative of e^{-6x}cos(6x)	\frac{d}{dx}(e^{-6x}\cos(6x))
(1+x^2)y^'+4xy=(1+x^2)^{-2}	(1+x^{2})y^{\prime\:}+4xy=(1+x^{2})^{-2}
derivative of e^{2x^2-1}	\frac{d}{dx}(e^{2x^{2}-1})
derivative of f(t)=\sqrt[3]{t}	derivative\:f(t)=\sqrt[3]{t}
integral from 0 to 8 of 1/(sqrt(64+x^2))	\int\:_{0}^{8}\frac{1}{\sqrt{64+x^{2}}}dx
derivative of (xsin(2x)/(cos(3x)))	\frac{d}{dx}(\frac{x\sin(2x)}{\cos(3x)})
8t(dy)/(dt)+y=t^5	8t\frac{dy}{dt}+y=t^{5}
derivative of f(x)=sqrt(x^2+3x)	derivative\:f(x)=\sqrt{x^{2}+3x}
integral from-pi to 0 of sin(x)+x	\int\:_{-π}^{0}\sin(x)+xdx
derivative of e^{6x}cos(bx)	\frac{d}{dx}(e^{6x}\cos(bx))
derivative of (x+y)^2-4x+y+10	derivative\:(x+y)^{2}-4x+y+10
integral from 0 to pi of 2cos^2(pi/2)	\int\:_{0}^{π}2\cos^{2}(\frac{π}{2})dx
integral of 2/7 x^2+1	\int\:\frac{2}{7}x^{2}+1dx
tangent of f(x)=3x^2,(-1,3)	tangent\:f(x)=3x^{2},(-1,3)
laplacetransform g(t)=sqrt(t)	laplacetransform\:g(t)=\sqrt{t}

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