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Popular Calculus Problems

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^{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}
integral of (7x^6)/((4+x^7)^5)	\int\:\frac{7x^{6}}{(4+x^{7})^{5}}dx
integral of 3x(x^2+1)^{1/2}	\int\:3x(x^{2}+1)^{\frac{1}{2}}dx
(\partial)/(\partial y)(ln(y^x))	\frac{\partial\:}{\partial\:y}(\ln(y^{x}))
tangent of y=6xsin(x),(pi/2 ,3pi)	tangent\:y=6x\sin(x),(\frac{π}{2},3π)
integral of x*sqrt(x^2+3)	\int\:x\cdot\:\sqrt{x^{2}+3}dx
integral of x^6(x^7-3)^{3/4}	\int\:x^{6}(x^{7}-3)^{\frac{3}{4}}dx
limit as x approaches 0+of (ln(1/x))^x	\lim\:_{x\to\:0+}((\ln(\frac{1}{x}))^{x})
derivative of 10cos(3/10 x)	\frac{d}{dx}(10\cos(\frac{3}{10}x))
derivative of f(x)=x^2+8x	derivative\:f(x)=x^{2}+8x
limit as x approaches infinity of x^{-x}	\lim\:_{x\to\:\infty\:}(x^{-x})
integral from 0 to 2 of x(x^2+1)^5	\int\:_{0}^{2}x(x^{2}+1)^{5}dx
integral from 0 to 4 of cos(sqrt(x))	\int\:_{0}^{4}\cos(\sqrt{x})dx
limit as h approaches 1 of (e^h-1)/h	\lim\:_{h\to\:1}(\frac{e^{h}-1}{h})
tangent of y=-4x^2,(-2,-16)	tangent\:y=-4x^{2},(-2,-16)
integral from 0 to infinity of (ln(x))/x	\int\:_{0}^{\infty\:}\frac{\ln(x)}{x}dx
derivative of e^{6xsin(2x})	\frac{d}{dx}(e^{6x\sin(2x)})
(\partial)/(\partial x)((3x-2x^2)3)	\frac{\partial\:}{\partial\:x}((3x-2x^{2})3)
integral of ((2x)/(x^2+1))	\int\:(\frac{2x}{x^{2}+1})dx
integral of 3cos^2(x)tan^3(x)	\int\:3\cos^{2}(x)\tan^{3}(x)dx
derivative of ln(4x^6+2x^3)	\frac{d}{dx}(\ln(4x^{6}+2x^{3}))
sum from n=0 to infinity of n*2^{-n}	\sum\:_{n=0}^{\infty\:}n\cdot\:2^{-n}
integral of (4x-3)^3	\int\:(4x-3)^{3}dx
slope of 5+4x^2-2x^3	slope\:5+4x^{2}-2x^{3}
derivative of 7xln(x)	\frac{d}{dx}(7x\ln(x))
taylor x^{11/2},1	taylor\:x^{\frac{11}{2}},1
integral of x^7-1/(x^7)	\int\:x^{7}-\frac{1}{x^{7}}dx
(\partial)/(\partial x)((100)/(6x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{100}{6x^{2}+y^{2}})
derivative of 1/(\sqrt[3]{x)}	derivative\:\frac{1}{\sqrt[3]{x}}
integral of (-x^3+2x^2-x-1)/(x^3+x)	\int\:\frac{-x^{3}+2x^{2}-x-1}{x^{3}+x}dx
limit as x approaches 0-of xe^{2/x}+1	\lim\:_{x\to\:0-}(xe^{\frac{2}{x}}+1)
integral from-1 to 3 of 3x^2	\int\:_{-1}^{3}3x^{2}dx
critical f(x)=In(x)	critical\:f(x)=In(x)
limit as x approaches infinity of 3-1/x	\lim\:_{x\to\:\infty\:}(3-\frac{1}{x})
integral of x^2sin(7x)	\int\:x^{2}\sin(7x)dx
derivative of z/(1+z^2)	derivative\:\frac{z}{1+z^{2}}
integral of (1/((2x-3)(3x^2+x)))	\int\:(\frac{1}{(2x-3)(3x^{2}+x)})dx
(\partial)/(\partial t)(t^6e^{-x})	\frac{\partial\:}{\partial\:t}(t^{6}e^{-x})
integral of x^2cos(ax)	\int\:x^{2}\cos(ax)dx
y^'cos(t)+ysin(t)=tan(t)	y^{\prime\:}\cdot\:\cos(t)+y\cdot\:\sin(t)=\tan(t)
(\partial)/(\partial y)(xe^y+ye^{-x})	\frac{\partial\:}{\partial\:y}(xe^{y}+ye^{-x})
derivative of 4/((x+3^2))	\frac{d}{dx}(\frac{4}{(x+3)^{2}})
(\partial)/(\partial x)(2-sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(2-\sqrt{x^{2}+y^{2}})
tangent of 1/(sqrt(3x))	tangent\:\frac{1}{\sqrt{3x}}
area y=sin(2x),y=cos(2x),x=0,x= pi/4	area\:y=\sin(2x),y=\cos(2x),x=0,x=\frac{π}{4}
longdivision (4x^2-3)/(x-1)	longdivision\:\frac{4x^{2}-3}{x-1}
tangent of 2/(3x+5)	tangent\:\frac{2}{3x+5}
integral of (cot(x))/(ln(sin(x)))	\int\:\frac{\cot(x)}{\ln(\sin(x))}dx
limit as x approaches 3-of (x^3)/(x^2-9)	\lim\:_{x\to\:3-}(\frac{x^{3}}{x^{2}-9})
integral from 0 to 1 of 2xe^{-x^2}	\int\:_{0}^{1}2xe^{-x^{2}}dx
derivative of 4x^4+2x^3-x+1	\frac{d}{dx}(4x^{4}+2x^{3}-x+1)
integral of sin^2(nx)	\int\:\sin^{2}(nx)dx
derivative of y=((x+b)(x-a))/((x-b))	derivative\:y=\frac{(x+b)(x-a)}{(x-b)}
integral of t*sec^2(2t)	\int\:t\cdot\:\sec^{2}(2t)dt
integral of (cos^3(4x))/(sqrt(sin(4x)))	\int\:\frac{\cos^{3}(4x)}{\sqrt{\sin(4x)}}dx
3x^2y^2dx+(2y^3+4y^3)dy=0	3x^{2}y^{2}dx+(2y^{3}+4y^{3})dy=0
(\partial)/(\partial x)(x^7y^5-x^6y^4)	\frac{\partial\:}{\partial\:x}(x^{7}y^{5}-x^{6}y^{4})
inverse oflaplace 3/(5s-2)	inverselaplace\:\frac{3}{5s-2}
integral of (2x+1)/(x^3-x^2)	\int\:\frac{2x+1}{x^{3}-x^{2}}dx
(\partial)/(\partial x)(-xyz^2+6)	\frac{\partial\:}{\partial\:x}(-xyz^{2}+6)
derivative of xsin(pix)	\frac{d}{dx}(x\sin(π)x)
limit as x approaches 0+of xln(x^3)	\lim\:_{x\to\:0+}(x\ln(x^{3}))
(\partial)/(\partial x)((2x^2)/(y^2+x^2))	\frac{\partial\:}{\partial\:x}(\frac{2x^{2}}{y^{2}+x^{2}})
integral from-1 to 3 of 2x+3-x^2	\int\:_{-1}^{3}2x+3-x^{2}dx
derivative of (arctan(6x)^2)	\frac{d}{dx}((\arctan(6x))^{2})
limit as x approaches 0 of (6x^2+6x)/x	\lim\:_{x\to\:0}(\frac{6x^{2}+6x}{x})
derivative of f(x)=4x^{-1/8}	derivative\:f(x)=4x^{-\frac{1}{8}}
integral of xln(\sqrt[3]{x})	\int\:x\ln(\sqrt[3]{x})dx
tangent of f(x)=-1/x	tangent\:f(x)=-\frac{1}{x}
derivative of f(x)=sqrt(1+x)	derivative\:f(x)=\sqrt{1+x}
integral of (pi/6)/0 sin(x)cos^3(x)	\int\:\frac{\frac{π}{6}}{0}\sin(x)\cos^{3}(x)dx
inverse oflaplace 1/(s^2)	inverselaplace\:\frac{1}{s^{2}}
integral of-(2000)/(x^2)	\int\:-\frac{2000}{x^{2}}dx
limit as x approaches infinity of-1/(2x)	\lim\:_{x\to\:\infty\:}(-\frac{1}{2x})
derivative of 3e^{-7x}	\frac{d}{dx}(3e^{-7x})
derivative of (10x^3/3)	\frac{d}{dx}(\frac{10x^{3}}{3})
derivative of (x^2+1/(x+1))	\frac{d}{dx}(\frac{x^{2}+1}{x+1})
limit as x approaches x/3 of sec(x)	\lim\:_{x\to\:\frac{x}{3}}(\sec(x))
(\partial)/(\partial y)(sqrt(x^2+y^3))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+y^{3}})

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