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Popular Calculus Problems

integral of cot^5(6x)	\int\:\cot^{5}(6x)dx
tangent of f(x)=2x^2-5x+3,\at x=0	tangent\:f(x)=2x^{2}-5x+3,\at\:x=0
integral of (8+sqrt(x)+x)/x	\int\:\frac{8+\sqrt{x}+x}{x}dx
limit as x approaches 1-of arcsin(x)	\lim\:_{x\to\:1-}(\arcsin(x))
limit as x approaches pi/3 of sin(3x)	\lim\:_{x\to\:\frac{π}{3}}(\sin(3x))
limit as x approaches infinity of x^2-3	\lim\:_{x\to\:\infty\:}(x^{2}-3)
derivative of 7x^4	derivative\:7x^{4}
integral of (sin(x))^3(cos(x))^2	\int\:(\sin(x))^{3}(\cos(x))^{2}dx
derivative of ln(324sin^2(x))	\frac{d}{dx}(\ln(324\sin^{2}(x)))
(dy)/(dx)-5y=8	\frac{dy}{dx}-5y=8
(\partial)/(\partial x)(ye^{x/z})	\frac{\partial\:}{\partial\:x}(ye^{\frac{x}{z}})
integral of 4/(3x+2)	\int\:\frac{4}{3x+2}dx
derivative of 4\sqrt[4]{x}	\frac{d}{dx}(4\sqrt[4]{x})
(dy)/(dx)=(2x^3)/(2y+1)	\frac{dy}{dx}=\frac{2x^{3}}{2y+1}
2ty^'-y=0	2ty^{\prime\:}-y=0
derivative of (x^2+1/(x^2-1))	\frac{d}{dx}(\frac{x^{2}+1}{x^{2}-1})
limit as x approaches 0+of xln(x)	\lim\:_{x\to\:0+}(x\ln(x))
derivative of sin(6xcos(4x))	\frac{d}{dx}(\sin(6x)\cos(4x))
x^4+y^3sqrt(x^5+5)y^'=0	x^{4}+y^{3}\sqrt{x^{5}+5}y^{\prime\:}=0
3x^2y^2dx+2x^3ydy=0	3x^{2}y^{2}dx+2x^{3}ydy=0
derivative of f(x)=sqrt(2-4x)	derivative\:f(x)=\sqrt{2-4x}
area 4,(e^x)/5 ,x=0	area\:4,\frac{e^{x}}{5},x=0
derivative of x^2-cos(2x)	\frac{d}{dx}(x^{2}-\cos(2x))
(12+x^2)y^'-2xy=0	(12+x^{2})y^{\prime\:}-2xy=0
integral of λe^{-λt}	\int\:λe^{-λt}dt
integral of x/(sqrt(7x^2+6))	\int\:\frac{x}{\sqrt{7x^{2}+6}}dx
integral of 25e^{5θ}sin(5θ)	\int\:25e^{5θ}\sin(5θ)dθ
integral of 17arctan(sqrt(x))	\int\:17\arctan(\sqrt{x})dx
derivative of 8/(sqrt((9x^2-7^5)))	\frac{d}{dx}(\frac{8}{\sqrt{(9x^{2}-7)^{5}}})
(x^2+1)(dy)/(dx)+3xy=6x	(x^{2}+1)\frac{dy}{dx}+3xy=6x
integral of 1/(sin(u))	\int\:\frac{1}{\sin(u)}du
integral of (5+8x)/(1+x^2)	\int\:\frac{5+8x}{1+x^{2}}dx
integral of (3sec^2(4x)+3csc^2(4x))	\int\:(3\sec^{2}(4x)+3\csc^{2}(4x))dx
derivative of \sqrt[3]{x}-9/x	\frac{d}{dx}(\sqrt[3]{x}-\frac{9}{x})
integral of 1/2 tan(2x)	\int\:\frac{1}{2}\tan(2x)dx
derivative of sin(sqrt(cos(cot(3pix))))	\frac{d}{dx}(\sin(\sqrt{\cos(\cot(3πx))}))
integral of 2/(x^4-1)	\int\:\frac{2}{x^{4}-1}dx
limit as x approaches 4 of 9	\lim\:_{x\to\:4}(9)
limit as x approaches 0 of vector	\lim\:_{x\to\:0}(vector)
area 2x^2+4x-2,0,2	area\:2x^{2}+4x-2,0,2
f(x)=(5x^3+2)^4	f(x)=(5x^{3}+2)^{4}
derivative of tan(arcsin(x))	\frac{d}{dx}(\tan(\arcsin(x)))
integral of ((5x-12))/(x^3-6x^2+8x)	\int\:\frac{(5x-12)}{x^{3}-6x^{2}+8x}dx
limit as x approaches 1-of 3/(x^3-1)	\lim\:_{x\to\:1-}(\frac{3}{x^{3}-1})
xy^'+y=6xy^2,y(1)=-8	xy^{\prime\:}+y=6xy^{2},y(1)=-8
(xy^2+3y^2)dy-2xdx=0	(xy^{2}+3y^{2})dy-2xdx=0
slope of (4,1),(7,10)	slope\:(4,1),(7,10)
derivative of (18/x)	\frac{d}{dx}(\frac{18}{x})
(\partial)/(\partial y)(2cos(x)+cos(x+y))	\frac{\partial\:}{\partial\:y}(2\cos(x)+\cos(x+y))
integral of 5sin^2(r)cos(r)	\int\:5\sin^{2}(r)\cos(r)dr
derivative of x^{2x+1}	derivative\:x^{2x+1}
limit as x approaches 5 of 1/(x-5)	\lim\:_{x\to\:5}(\frac{1}{x-5})
derivative of (ln(x)^x)	\frac{d}{dx}((\ln(x))^{x})
tangent of y= 1/x	tangent\:y=\frac{1}{x}
integral of (cos(x))/(sqrt(1+sin(x)))	\int\:\frac{\cos(x)}{\sqrt{1+\sin(x)}}dx
integral of sin(2xy)	\int\:\sin(2xy)dx
(\partial)/(\partial z)(x^2yz+1/(xyz^2))	\frac{\partial\:}{\partial\:z}(x^{2}yz+\frac{1}{xyz^{2}})
integral of 1/(sqrt(25x^2+2))	\int\:\frac{1}{\sqrt{25x^{2}+2}}dx
2xyy^'=3y^2+x^2	2xyy^{\prime\:}=3y^{2}+x^{2}
limit as x approaches 1+of \sqrt[3]{x-1}	\lim\:_{x\to\:1+}(\sqrt[3]{x-1})
integral of 1/(x^3-1)	\int\:\frac{1}{x^{3}-1}dx
implicit (dy)/(dx),x^2-y^3=6	implicit\:\frac{dy}{dx},x^{2}-y^{3}=6
integral of cos(x)+1/3 sin(x)-1/(x^2)	\int\:\cos(x)+\frac{1}{3}\sin(x)-\frac{1}{x^{2}}dx
derivative of (2^{x+1}-3.5^x^3)	\frac{d}{dx}((2^{x+1}-3.5^{x})^{3})
integral of 5x+sin(x)	\int\:5x+\sin(x)dx
derivative of 1/c	derivative\:\frac{1}{c}
tangent of f(x)=tan(x)+x,\at x= pi/4	tangent\:f(x)=\tan(x)+x,\at\:x=\frac{π}{4}
limit as x approaches-2 of-6	\lim\:_{x\to\:-2}(-6)
integral of 3xsqrt(x+3)	\int\:3x\sqrt{x+3}dx
integral from 0 to 4 of 1/(sqrt(2x+1))	\int\:_{0}^{4}\frac{1}{\sqrt{2x+1}}dx
limit as x approaches-infinity of 9x^3	\lim\:_{x\to\:-\infty\:}(9x^{3})
derivative of m/(2pi(a-x))	\frac{d}{dx}(\frac{m}{2π(a-x)})
integral from 0 to pi/3 of 1	\int\:_{0}^{\frac{π}{3}}1
derivative of (ln(x)(ln(3x-7)))	\frac{d}{dx}((\ln(x))(\ln(3x-7)))
integral of (ln(x+1))/(sqrt(x+1))	\int\:\frac{\ln(x+1)}{\sqrt{x+1}}dx
integral from 0 to 1 of (x^3+1)/(x+1)	\int\:_{0}^{1}\frac{x^{3}+1}{x+1}dx
derivative of 3xe^{-x}-2x	\frac{d}{dx}(3xe^{-x}-2x)
derivative of 2x+(18/x+1)	\frac{d}{dx}(2x+\frac{18}{x}+1)
integral of (2x^{1/2})	\int\:(2x^{\frac{1}{2}})dx
integral of sin(x)x^2	\int\:\sin(x)x^{2}dx
y^{''}-(6/x)y^'-(8/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{6}{x})y^{\prime\:}-(\frac{8}{x^{2}})y=0
integral of cos^2(6x)	\int\:\cos^{2}(6x)dx
integral of (5x^2)/(x^4-1)	\int\:\frac{5x^{2}}{x^{4}-1}dx
integral of 5e^tsin(2t)	\int\:5e^{t}\sin(2t)dt
limit as x approaches 8 of log_{2}(x)	\lim\:_{x\to\:8}(\log_{2}(x))
derivative of (ln(8^x+5)/(ln(8^{x+1)+5)})	\frac{d}{dx}(\frac{\ln(8^{x}+5)}{\ln(8^{x+1}+5)})
limit as x approaches-3 of x^2+3x	\lim\:_{x\to\:-3}(x^{2}+3x)
inverse oflaplace (5s)/((s-2)^2)	inverselaplace\:\frac{5s}{(s-2)^{2}}
taylor x/(1-x^3)	taylor\:\frac{x}{1-x^{3}}
integral of (4e^{3x})/(1+e^{2x)}	\int\:\frac{4e^{3x}}{1+e^{2x}}dx
derivative of ((8x^3-4x^2+3))/x	derivative\:\frac{(8x^{3}-4x^{2}+3)}{x}
limit as x approaches-1 of \sqrt[3]{x+1}	\lim\:_{x\to\:-1}(\sqrt[3]{x+1})
simplify-2sin(t)cos(t)	simplify\:-2\sin(t)\cos(t)
d/(d{x)}(({x}^2+{y}^2+{z}^2)^{-1/2})	\frac{d}{d{x}}(({x}^{2}+{y}^{2}+{z}^{2})^{-\frac{1}{2}})
integral of 1/((x^2-100)^2)	\int\:\frac{1}{(x^{2}-100)^{2}}dx
(\partial)/(\partial y)(2x^3y)	\frac{\partial\:}{\partial\:y}(2x^{3}y)
area x=0,y=0,y=sqrt((-x^2+8)/9)	area\:x=0,y=0,y=\sqrt{\frac{-x^{2}+8}{9}}
limit as θ approaches 0 of θ/(sin(θ))	\lim\:_{θ\to\:0}(\frac{θ}{\sin(θ)})
(\partial)/(\partial x)((x-y)(1-xy))	\frac{\partial\:}{\partial\:x}((x-y)(1-xy))
derivative of 7\sqrt[4]{x}	derivative\:7\sqrt[4]{x}

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