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Popular Calculus Problems

derivative of 5-x	derivative\:5-x
slope of (4,5),(9,7)	slope\:(4,5),(9,7)
sum from n=0 to infinity of (1/(2+3i))^n	\sum\:_{n=0}^{\infty\:}(\frac{1}{2+3i})^{n}
derivative of (5x^2-9x+8/(7x+2))	\frac{d}{dx}(\frac{5x^{2}-9x+8}{7x+2})
area y=x^3-3x^2-x+3,-1<x<3	area\:y=x^{3}-3x^{2}-x+3,-1<x<3
derivative of 1/3 (16+x^2^{3/2}+16/3)	\frac{d}{dx}(\frac{1}{3}(16+x^{2})^{\frac{3}{2}}+\frac{16}{3})
derivative of (3x^4/(tan(x)))	\frac{d}{dx}(\frac{3x^{4}}{\tan(x)})
derivative of 5^{2x}	derivative\:5^{2x}
derivative of (qx+r/(sx+r))	\frac{d}{dx}(\frac{qx+r}{sx+r})
limit as x approaches 0+of (-ln(1+6x))/x	\lim\:_{x\to\:0+}(\frac{-\ln(1+6x)}{x})
taylor 3x	taylor\:3x
(\partial)/(\partial x)(x^2+4y^2)	\frac{\partial\:}{\partial\:x}(x^{2}+4y^{2})
integral of sin(x)cos(x)x	\int\:\sin(x)\cos(x)xdx
limit as x approaches 1+of (5x+6)/(x-1)	\lim\:_{x\to\:1+}(\frac{5x+6}{x-1})
area x=-5,x=1,y=7x,y=x^2-8	area\:x=-5,x=1,y=7x,y=x^{2}-8
tangent of t^3+1t,\at t=1	tangent\:t^{3}+1t,\at\:t=1
(\partial)/(\partial u)(3yuxuv^3-2)	\frac{\partial\:}{\partial\:u}(3yuxuv^{3}-2)
integral of 1/(100-2x)	\int\:\frac{1}{100-2x}dx
(\partial)/(\partial x)((3x^2+4)^3)	\frac{\partial\:}{\partial\:x}((3x^{2}+4)^{3})
implicit (dy)/(dx),sec(9x+2)+6y^2=42	implicit\:\frac{dy}{dx},\sec(9x+2)+6y^{2}=42
tangent of f(x)=3x^3-x^2+4,\at x=1	tangent\:f(x)=3x^{3}-x^{2}+4,\at\:x=1
derivative of e^{4x^2}csc(5x)	\frac{d}{dx}(e^{4x^{2}}\csc(5x))
derivative of sin(-2x)	derivative\:\sin(-2x)
integral of 1/(10(x^2+1))	\int\:\frac{1}{10(x^{2}+1)}dx
derivative of (2x-7)^{-1}(x+5)	derivative\:(2x-7)^{-1}(x+5)
derivative of-4cot(x)	\frac{d}{dx}(-4\cot(x))
(sqrt(1+x^2))^'	(\sqrt{1+x^{2}})^{\prime\:}
limit as x approaches 1 of x^3+2x^2-x-2	\lim\:_{x\to\:1}(x^{3}+2x^{2}-x-2)
integral from 9/8 to 6 of 1/(1-x^2)	\int\:_{\frac{9}{8}}^{6}\frac{1}{1-x^{2}}dx
(\partial)/(\partial x)(((x-y))/(xy+3))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{xy+3})
integral of cos^4(8x)	\int\:\cos^{4}(8x)dx
limit as x approaches 0 of (3x^2+5x)/x	\lim\:_{x\to\:0}(\frac{3x^{2}+5x}{x})
y^{''}-y^'-2y=e^{2x}	y^{\prime\:\prime\:}-y^{\prime\:}-2y=e^{2x}
integral of x^3sqrt(x-2)	\int\:x^{3}\sqrt{x-2}dx
derivative of x^3-5x^2+4x-20-5e^{3x}	\frac{d}{dx}(x^{3}-5x^{2}+4x-20-5e^{3x})
d/(dt)(tan(cos(2t)))	\frac{d}{dt}(\tan(\cos(2t)))
derivative of x^5+2x^3-x^2	\frac{d}{dx}(x^{5}+2x^{3}-x^{2})
derivative of sqrt(2+cot^2(x))	\frac{d}{dx}(\sqrt{2+\cot^{2}(x)})
area x^2-5x+1,(-3,6)	area\:x^{2}-5x+1,(-3,6)
integral of 1/((sin(x))^5(cos(x))^5)	\int\:\frac{1}{(\sin(x))^{5}(\cos(x))^{5}}dx
inverse oflaplace 1/(19s^2+5s+19990)	inverselaplace\:\frac{1}{19s^{2}+5s+19990}
(\partial)/(\partial s)(arctan(rs))	\frac{\partial\:}{\partial\:s}(\arctan(rs))
y^{''}+6y^'+45y=0	y^{\prime\:\prime\:}+6y^{\prime\:}+45y=0
derivative of y=(x+9)(3sqrt(x)+4)	derivative\:y=(x+9)(3\sqrt{x}+4)
integral of (3sqrt(x)-2\sqrt[3]{x})	\int\:(3\sqrt{x}-2\sqrt[3]{x})dx
laplacetransform 5	laplacetransform\:5
integral of (x-3y^2)	\int\:(x-3y^{2})dy
derivative of (tan(x)/(6xsec(x)))	\frac{d}{dx}(\frac{\tan(x)}{6x\sec(x)})
(\partial)/(\partial x)(sex)	\frac{\partial\:}{\partial\:x}(sex)
5y^{''}-4y=0	5y^{\prime\:\prime\:}-4y=0
integral of r/(sqrt(4+r^2))	\int\:\frac{r}{\sqrt{4+r^{2}}}dr
integral of sqrt(91-6x-x^2)	\int\:\sqrt{91-6x-x^{2}}dx
y(1+x^2)y^'-x(7+y^2)=0	y(1+x^{2})y^{\prime\:}-x(7+y^{2})=0
integral of (x^2)/((x-1)(x^2+2x+1))	\int\:\frac{x^{2}}{(x-1)(x^{2}+2x+1)}dx
derivative of (-x^2/(2x^2-3))	\frac{d}{dx}(\frac{-x^{2}}{2x^{2}-3})
f^'(x)=7x^4-9x^3-4	f^{\prime\:}(x)=7x^{4}-9x^{3}-4
(\partial)/(\partial x)(x/(x-b))	\frac{\partial\:}{\partial\:x}(\frac{x}{x-b})
integral of x(sec(x)tan(x))	\int\:x(\sec(x)\tan(x))dx
derivative of 4x^3-6x^2	derivative\:4x^{3}-6x^{2}
integral from 5 to infinity of 1/(x^2)	\int\:_{5}^{\infty\:}\frac{1}{x^{2}}dx
derivative of tan^2(x-3)	\frac{d}{dx}(\tan^{2}(x-3))
integral from 1 to 2 of (4sqrt(x^2-1))/x	\int\:_{1}^{2}\frac{4\sqrt{x^{2}-1}}{x}dx
integral of (sqrt(x))/(ln(x))	\int\:\frac{\sqrt{x}}{\ln(x)}dx
limit as x approaches-2 of 0	\lim\:_{x\to\:-2}(0)
integral of xcos(2-x^2)	\int\:x\cos(2-x^{2})dx
sum from n=1 to infinity of n/(11n^2+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{11n^{2}+1}
(\partial)/(\partial x)(zln\|x\|)	\frac{\partial\:}{\partial\:x}(z\ln\left\|x\right\|)
(6y+2t-7)dt+(4y+6t-1)dy=0,y(-1)=2	(6y+2t-7)dt+(4y+6t-1)dy=0,y(-1)=2
implicit (dy)/(dx),y=3^x	implicit\:\frac{dy}{dx},y=3^{x}
derivative of 1/(x^{3/4})	\frac{d}{dx}(\frac{1}{x^{\frac{3}{4}}})
limit as x approaches 3 of sqrt(x)	\lim\:_{x\to\:3}(\sqrt{x})
slope of y=x^2-2x-3	slope\:y=x^{2}-2x-3
integral of (x^2)/(sqrt(x^2-36))	\int\:\frac{x^{2}}{\sqrt{x^{2}-36}}dx
limit as x approaches 2 of 3x+h^2-7	\lim\:_{x\to\:2}(3x+h^{2}-7)
limit as x approaches 1 of (2x-3)/(x+5)	\lim\:_{x\to\:1}(\frac{2x-3}{x+5})
integral of ((1+x)^2)/(1+x^2)	\int\:\frac{(1+x)^{2}}{1+x^{2}}dx
(dy)/(dt)+3y=13sin(2t)	\frac{dy}{dt}+3y=13\sin(2t)
integral of (2x+1)/(x(x+2)^3)	\int\:\frac{2x+1}{x(x+2)^{3}}dx
2xydx+(x^2-y)dy=0	2xydx+(x^{2}-y)dy=0
(\partial)/(\partial x)((64)/(x^2))	\frac{\partial\:}{\partial\:x}(\frac{64}{x^{2}})
(\partial)/(\partial x)(ln(sqrt(1+x^2)))	\frac{\partial\:}{\partial\:x}(\ln(\sqrt{1+x^{2}}))
integral of (1-x)e^{-x}	\int\:(1-x)e^{-x}dx
derivative of x*arctan(x)	\frac{d}{dx}(x\cdot\:\arctan(x))
derivative of f(x)=cot^2(sin(x))	derivative\:f(x)=\cot^{2}(\sin(x))
(\partial)/(\partial y)(y+6xy^2)	\frac{\partial\:}{\partial\:y}(y+6xy^{2})
integral of 16x^3	\int\:16x^{3}dx
tangent of f(x)= 2/(sqrt(x))	tangent\:f(x)=\frac{2}{\sqrt{x}}
sum from n=0 to infinity of 4/(7^n)	\sum\:_{n=0}^{\infty\:}\frac{4}{7^{n}}
integral of tan(x)(sec(x))^2	\int\:\tan(x)(\sec(x))^{2}dx
laplacetransform cos^2(x)	laplacetransform\:\cos^{2}(x)
derivative of e^{4y-x^2-y^2}	\frac{d}{dx}(e^{4y-x^{2}-y^{2}})
integral from pi/4 to infinity of 7/x	\int\:_{\frac{π}{4}}^{\infty\:}\frac{7}{x}dx
sum from n=1 to infinity of (n^2)/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{3^{n}}
derivative of x^n	\frac{d}{dx}(x^{n})
integral from 0 to sqrt(2 of)x^5*e^{x^2}	\int\:_{0}^{\sqrt{2}}x^{5}\cdot\:e^{x^{2}}dx
integral of (sin^4(x))(cos^2(x))	\int\:(\sin^{4}(x))(\cos^{2}(x))dx
tangent of f(x)=3tan(3x),\at x= pi/(18)	tangent\:f(x)=3\tan(3x),\at\:x=\frac{π}{18}
integral of 3sin^5(x)cos(x)	\int\:3\sin^{5}(x)\cos(x)dx
derivative of f(x)=(8x(x^2+6)^3)	derivative\:f(x)=(8x(x^{2}+6)^{3})
integral of 3x^2e^{4x^3}	\int\:3x^{2}e^{4x^{3}}dx

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