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Popular Calculus Problems

(\partial)/(\partial x)(x^{0.5}*y)	\frac{\partial\:}{\partial\:x}(x^{0.5}\cdot\:y)
limit as x approaches 0 of csc(x)	\lim\:_{x\to\:0}(\csc(x))
integral of x^2sqrt(4x+4)	\int\:x^{2}\sqrt{4x+4}dx
derivative of cos(3t)sin(2t)	derivative\:\cos(3t)\sin(2t)
tangent of x^2-y^2=16,(5,3)	tangent\:x^{2}-y^{2}=16,(5,3)
integral of (2x^2+x+4)/(x^3+4x^2)	\int\:\frac{2x^{2}+x+4}{x^{3}+4x^{2}}dx
integral of 6/(sin^2(x))	\int\:\frac{6}{\sin^{2}(x)}dx
tangent of (4x)/(x-3),\at x=5	tangent\:\frac{4x}{x-3},\at\:x=5
derivative of f(x)=(x^3)/3+x^2+4x-10	derivative\:f(x)=\frac{x^{3}}{3}+x^{2}+4x-10
tangent of y=10x-x^2,(5,26)	tangent\:y=10x-x^{2},(5,26)
integral of 1/(xsqrt(-ln^2(x)+ln(x)+3))	\int\:\frac{1}{x\sqrt{-\ln^{2}(x)+\ln(x)+3}}dx
d/(dt)(2e^t+2e^{2t})	\frac{d}{dt}(2e^{t}+2e^{2t})
integral of (2x+5)/(sqrt(9-x^2))	\int\:\frac{2x+5}{\sqrt{9-x^{2}}}dx
derivative of y=sin(e^{2x})	derivative\:y=\sin(e^{2x})
derivative of (x+3/(8x^2e^x))	\frac{d}{dx}(\frac{x+3}{8x^{2}e^{x}})
limit as x approaches 0+of 2^x	\lim\:_{x\to\:0+}(2^{x})
integral of (e^x)/(e^{2x)+e^x+2}	\int\:\frac{e^{x}}{e^{2x}+e^{x}+2}dx
derivative of (e^{x^2}+4^2(4x)^{3x})	\frac{d}{dx}((e^{x^{2}}+4)^{2}(4x)^{3x})
limit as x approaches 0+of x^{6sin(x)}	\lim\:_{x\to\:0+}(x^{6\sin(x)})
integral from 0 to pi/2 of (cos(t))/(sqrt(1+sin^2(t)))	\int\:_{0}^{\frac{π}{2}}\frac{\cos(t)}{\sqrt{1+\sin^{2}(t)}}dt
integral of (10)/(x^2sqrt(x^2+16))	\int\:\frac{10}{x^{2}\sqrt{x^{2}+16}}dx
limit as x approaches 0 of-(e^x)	\lim\:_{x\to\:0}(-(e^{x}))
integral of 1/(sqrt(y^2+a^2))	\int\:\frac{1}{\sqrt{y^{2}+a^{2}}}dy
integral of 1/(sqrt(x+2))	\int\:\frac{1}{\sqrt{x+2}}dx
limit as x approaches-3 of sqrt(-x+6)-3	\lim\:_{x\to\:-3}(\sqrt{-x+6}-3)
area \sqrt[4]{x},sqrt(2-x),0	area\:\sqrt[4]{x},\sqrt{2-x},0
derivative of (3x^2+1)^2	derivative\:(3x^{2}+1)^{2}
derivative of-4sin(x-9ln(x)+11)	\frac{d}{dx}(-4\sin(x)-9\ln(x)+11)
(d^5)/(dx^5)(1/(x-1))	\frac{d^{5}}{dx^{5}}(\frac{1}{x-1})
integral of (-2sec^2(x))	\int\:(-2\sec^{2}(x))dx
integral from 1 to 2 of 2/(x^3)	\int\:_{1}^{2}\frac{2}{x^{3}}dx
9(t+1)(dy)/(dt)-8y=8t	9(t+1)\frac{dy}{dt}-8y=8t
derivative of y= 1/x+cos(2x)	derivative\:y=\frac{1}{x}+\cos(2x)
integral of 1/(sqrt(x)-\sqrt[4]{x)}	\int\:\frac{1}{\sqrt{x}-\sqrt[4]{x}}dx
limit as x approaches 4+of sqrt(16-x^2)	\lim\:_{x\to\:4+}(\sqrt{16-x^{2}})
integral from 0 to 1 of 6e^{2x}	\int\:_{0}^{1}6e^{2x}dx
derivative of (x^4+3x^{-1})	\frac{d}{dx}((x^{4}+3x)^{-1})
integral of 1/(x(1+4x^2))	\int\:\frac{1}{x(1+4x^{2})}dx
limit as x approaches+0-of arctan(1/x)	\lim\:_{x\to\:+0-}(\arctan(\frac{1}{x}))
simplify (-a)/(x^2)+a/((x-2)^2)	simplify\:\frac{-a}{x^{2}}+\frac{a}{(x-2)^{2}}
derivative of f(x)=(2x+3)/(x^2+3x+15)	derivative\:f(x)=\frac{2x+3}{x^{2}+3x+15}
integral from 0 to 2 of 1/(4-2x)	\int\:_{0}^{2}\frac{1}{4-2x}dx
integral from 1 to 5 of (2+3x-x^2)	\int\:_{1}^{5}(2+3x-x^{2})dx
tangent of 1/(sqrt(10x))	tangent\:\frac{1}{\sqrt{10x}}
integral of 2e^{-t}	\int\:2e^{-t}dt
integral of 1/(x^2+2)	\int\:\frac{1}{x^{2}+2}dx
(dy)/(dx)=(x-2)/(y-4)	\frac{dy}{dx}=\frac{x-2}{y-4}
integral of x^3+sqrt(7x)-5xe^{-2x^2}	\int\:x^{3}+\sqrt{7x}-5xe^{-2x^{2}}dx
integral of 1/(sqrt(x^2+18x))	\int\:\frac{1}{\sqrt{x^{2}+18x}}dx
d/(dt)(tan(t))	\frac{d}{dt}(\tan(t))
limit as x approaches 3 of sqrt(x)-2	\lim\:_{x\to\:3}(\sqrt{x}-2)
(\partial)/(\partial x)(L-x*cos(b))	\frac{\partial\:}{\partial\:x}(L-x\cdot\:\cos(b))
y^{''}+4y^'+3y=e^{-x},y(0)=0,y^'(1)=2	y^{\prime\:\prime\:}+4y^{\prime\:}+3y=e^{-x},y(0)=0,y^{\prime\:}(1)=2
integral of ycos(y)	\int\:y\cos(y)dy
slope of (-1/2 ,7),(1,-1)	slope\:(-\frac{1}{2},7),(1,-1)
e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0	e^{-y}\cos(x)+\frac{dy}{dx}\sin^{2}(x)=0
derivative of x^4(x+2^3)	\frac{d}{dx}(x^{4}(x+2)^{3})
derivative of arccos(1/x)	\frac{d}{dx}(\arccos(\frac{1}{x}))
derivative of (4x-3^{2x+1})	\frac{d}{dx}((4x-3)^{2x+1})
derivative of x/4	derivative\:\frac{x}{4}
limit as x approaches-7 of (x^2-9)/(7-x)	\lim\:_{x\to\:-7}(\frac{x^{2}-9}{7-x})
integral of 1/(xsqrt(4x^2-1))	\int\:\frac{1}{x\sqrt{4x^{2}-1}}dx
limit as x approaches 1+of arctan(ln(x-1))	\lim\:_{x\to\:1+}(\arctan(\ln(x-1)))
sum from n=1 to infinity of (12)/(-5^n)	\sum\:_{n=1}^{\infty\:}\frac{12}{-5^{n}}
derivative of sqrt(w)e^{7w}	derivative\:\sqrt{w}e^{7w}
derivative of f(x)=x^{-15}	derivative\:f(x)=x^{-15}
y^'+1/(200+3t)y=12	y^{\prime\:}+\frac{1}{200+3t}y=12
integral of 1/(9v^2-16)	\int\:\frac{1}{9v^{2}-16}dv
derivative of 3x^2-2	derivative\:3x^{2}-2
(\partial)/(\partial s)(ssqrt(t))	\frac{\partial\:}{\partial\:s}(s\sqrt{t})
limit as x approaches 0 of 2x^2sin(1/x)	\lim\:_{x\to\:0}(2x^{2}\sin(\frac{1}{x}))
integral of (x^5)/6	\int\:\frac{x^{5}}{6}dx
limit as x approaches 0 of ln(1-9x)	\lim\:_{x\to\:0}(\ln(1-9x))
limit as x approaches 6 of 7/((x-6)^2)	\lim\:_{x\to\:6}(\frac{7}{(x-6)^{2}})
(d^2)/(dx^2)(2sqrt(x))	\frac{d^{2}}{dx^{2}}(2\sqrt{x})
integral of cos^{-2}(2x)	\int\:\cos^{-2}(2x)dx
sum from n=0 to infinity of 1/(5^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{5^{n}}
xy^'+6y=3x+1	xy^{\prime\:}+6y=3x+1
derivative of 1-x^6	\frac{d}{dx}(1-x^{6})
integral of cos(x+1)	\int\:\cos(x+1)dx
integral from-infinity to 0 of 1/(7-6x)	\int\:_{-\infty\:}^{0}\frac{1}{7-6x}dx
derivative of arctan(2y)	derivative\:\arctan(2y)
integral of 3x^3e^{2x}	\int\:3x^{3}e^{2x}dx
(\partial)/(\partial x)(arctan(x-2y))	\frac{\partial\:}{\partial\:x}(\arctan(x-2y))
integral of x-x	\int\:x-xdx
taylor 2/x	taylor\:\frac{2}{x}
y^{''}-ay=0	y^{\prime\:\prime\:}-ay=0
integral from 1 to 2 of xe^{-x^2}	\int\:_{1}^{2}xe^{-x^{2}}dx
slope of (0,0),(-5,3)	slope\:(0,0),(-5,3)
integral of csc^2(x/2)	\int\:\csc^{2}(\frac{x}{2})dx
inverse oflaplace (s+5)/(s^2+4s+3)	inverselaplace\:\frac{s+5}{s^{2}+4s+3}
derivative of e^x+c	\frac{d}{dx}(e^{x}+c)
derivative of f(x)=sqrt(x^2+x+1)	derivative\:f(x)=\sqrt{x^{2}+x+1}
y^{'''}-6y^{''}+8y^'=0	y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}+8y^{\prime\:}=0
integral of 1/(p-p^2)	\int\:\frac{1}{p-p^{2}}dp
sum from n=0 to infinity}2^{-n of+3^{-n}	\sum\:_{n=0}^{\infty\:}2^{-n}+3^{-n}
derivative of 1/((x+1))	\frac{d}{dx}(\frac{1}{(x+1)})
derivative of arccsc(-x^2)	\frac{d}{dx}(\arccsc(-x^{2}))
integral of (5x^2)	\int\:(5x^{2})dx
integral of (tan^2(x))/(2sec(x))	\int\:\frac{\tan^{2}(x)}{2\sec(x)}dx

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