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Popular Calculus Problems

integral of xsqrt(6-x^2)	\int\:x\sqrt{6-x^{2}}dx
derivative of f(x)=4x^2+3x	derivative\:f(x)=4x^{2}+3x
y^{''}+2y^'+2y=sin(9x)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(9x)
derivative of 1/(X^2)	derivative\:\frac{1}{X^{2}}
inverse oflaplace (4(-s+16))/(s^2+10s)	inverselaplace\:\frac{4(-s+16)}{s^{2}+10s}
slope of (-4.5)(2.3)	slope\:(-4.5)(2.3)
derivative of (x^2ln(x)^4)	\frac{d}{dx}((x^{2}\ln(x))^{4})
derivative of y= 1/3 cos((6pix-1)/2)	derivative\:y=\frac{1}{3}\cos(\frac{6πx-1}{2})
integral of-e^x-7/(cos^2(x))	\int\:-e^{x}-\frac{7}{\cos^{2}(x)}dx
derivative of sin(x^2cos(x))	\frac{d}{dx}(\sin(x^{2}\cos(x)))
derivative of cot^2(3-2x)	\frac{d}{dx}(\cot^{2}(3-2x))
integral of 3/2 e^{3/2 x}	\int\:\frac{3}{2}e^{\frac{3}{2}x}dx
derivative of f(x)=9-x^2	derivative\:f(x)=9-x^{2}
derivative of e^3ln(e^3)	derivative\:e^{3}\ln(e^{3})
integral from-3 to 2 of ((6-x)-(x^2))	\int\:_{-3}^{2}((6-x)-(x^{2}))dx
(4x-3y)dx+(2y-3x)dy=0	(4x-3y)dx+(2y-3x)dy=0
integral of (x+3)/(x^2+11x+18)	\int\:\frac{x+3}{x^{2}+11x+18}dx
integral from 0 to 1 of sin(4pix)	\int\:_{0}^{1}\sin(4πx)dx
integral of (2x)/(3+x^2)	\int\:\frac{2x}{3+x^{2}}dx
(dy)/(dt)=(yt-y)/((r^2+1))	\frac{dy}{dt}=\frac{yt-y}{(r^{2}+1)}
integral of 14cot(7x)csc^2(7x)	\int\:14\cot(7x)\csc^{2}(7x)dx
sum from i=1 to infinity of i^2	\sum\:_{i=1}^{\infty\:}i^{2}
integral of (t^5)/(sqrt(t^2+7))	\int\:\frac{t^{5}}{\sqrt{t^{2}+7}}dt
integral of sec^2(3x)tan(3x)	\int\:\sec^{2}(3x)\tan(3x)dx
derivative of f(x)=x^2+(4(1-x)^2)/pi	derivative\:f(x)=x^{2}+\frac{4(1-x)^{2}}{π}
integral of 4ln(9x^2)	\int\:4\ln(9x^{2})dx
integral of zln(2)	\int\:z\ln(2)
integral of e^{ln(x)}	\int\:e^{\ln(x)}dx
(dy)/(dx)=2sqrt(y+1)cos(x)	\frac{dy}{dx}=2\sqrt{y+1}\cos(x)
tangent of (((x+3))/((x-1)))^2	tangent\:(\frac{(x+3)}{(x-1)})^{2}
limit as x approaches 3+of 3x-7	\lim\:_{x\to\:3+}(3x-7)
derivative of 5sec(7x)	derivative\:5\sec(7x)
normal of y=3e^x-7x,(0,3)	normal\:y=3e^{x}-7x,(0,3)
derivative of (2x-1)/(x+2)	derivative\:\frac{2x-1}{x+2}
derivative of ln(sin^2(x))	derivative\:\ln(\sin^{2}(x))
(dy)/(dx)=x+2xy	\frac{dy}{dx}=x+2xy
derivative of (3x+1^3)	\frac{d}{dx}((3x+1)^{3})
sum from n=2 to infinity of 1/(2n*ln(n))	\sum\:_{n=2}^{\infty\:}\frac{1}{2n\cdot\:\ln(n)}
derivative of x^{-2}(5x^2-4)^3	derivative\:x^{-2}(5x^{2}-4)^{3}
(2x^3+xy^2)+(x^2y+2y^3)(dy)/(dx)=0	(2x^{3}+xy^{2})+(x^{2}y+2y^{3})\frac{dy}{dx}=0
integral from 0 to t of e^{-s^2}	\int\:_{0}^{t}e^{-s^{2}}ds
limit as x approaches-5 of (x^2-2)/(5-x)	\lim\:_{x\to\:-5}(\frac{x^{2}-2}{5-x})
integral of (x^3)/3*1/x	\int\:\frac{x^{3}}{3}\cdot\:\frac{1}{x}dx
integral of (-ln(x))/(x^2)	\int\:\frac{-\ln(x)}{x^{2}}dx
derivative of sqrt(3+y^2)	derivative\:\sqrt{3+y^{2}}
y^{''}-2y^'=(4t+9)sin(2t)	y^{\prime\:\prime\:}-2y^{\prime\:}=(4t+9)\sin(2t)
integral of 2sec^2(x)	\int\:2\sec^{2}(x)dx
integral from-1 to 0 of 1/x	\int\:_{-1}^{0}\frac{1}{x}dx
derivative of 3/2 sin(2x)	\frac{d}{dx}(\frac{3}{2}\sin(2x))
integral of (x^2-y)	\int\:(x^{2}-y)dx
derivative of sqrt(2sin(x))	\frac{d}{dx}(\sqrt{2\sin(x)})
integral of xcsc^2(4x)	\int\:x\csc^{2}(4x)dx
integral from-1 to 1 of 0.09375(4-x^2)	\int\:_{-1}^{1}0.09375(4-x^{2})dx
integral of e^{-17x}	\int\:e^{-17x}dx
integral of x/(16-x^8)	\int\:\frac{x}{16-x^{8}}dx
(dy)/(dx)=(2x+y)/(3+3y^2-x),y(0)=0	\frac{dy}{dx}=\frac{2x+y}{3+3y^{2}-x},y(0)=0
derivative of ln(sin(sqrt(x)))	\frac{d}{dx}(\ln(\sin(\sqrt{x})))
slope ofintercept (3,5),(-2,-20)	slopeintercept\:(3,5),(-2,-20)
derivative of (1-x)^2	derivative\:(1-x)^{2}
derivative of y=2arcsin(sqrt(3x))	derivative\:y=2\arcsin(\sqrt{3x})
integral of 24x(6-x^2)^{1/3}	\int\:24x(6-x^{2})^{\frac{1}{3}}dx
derivative of f(x)=(x+1)e^x	derivative\:f(x)=(x+1)e^{x}
area x^2+1,5	area\:x^{2}+1,5
derivative of sqrt(x^2+11)	derivative\:\sqrt{x^{2}+11}
derivative of c/x+(2a)/(x^3)+8	derivative\:\frac{c}{x}+\frac{2a}{x^{3}}+8
derivative of 2/2	\frac{d}{dx}(\frac{2}{2})
tangent of f(x)=(3x)/(x^2-6),\at x=3	tangent\:f(x)=\frac{3x}{x^{2}-6},\at\:x=3
2y^{''}-9y^'-18y=0,y(0)=8,y^'(0)=7	2y^{\prime\:\prime\:}-9y^{\prime\:}-18y=0,y(0)=8,y^{\prime\:}(0)=7
derivative of (1+csc(x^9)/(1-cot(x^9)))	\frac{d}{dx}(\frac{1+\csc(x^{9})}{1-\cot(x^{9})})
integral of 5/(xsqrt(4-25ln^2(x)))	\int\:\frac{5}{x\sqrt{4-25\ln^{2}(x)}}dx
derivative of sqrt(x)(x^4-1)^6	derivative\:\sqrt{x}(x^{4}-1)^{6}
integral of (2ln(x))/x	\int\:\frac{2\ln(x)}{x}dx
(\partial)/(\partial y)(ln(2w^3-7y+3xy^2))	\frac{\partial\:}{\partial\:y}(\ln(2w^{3}-7y+3xy^{2}))
integral of e^{2θ}sin(2θ)	\int\:e^{2θ}\sin(2θ)dθ
derivative of (x-4)(x+1)	derivative\:(x-4)(x+1)
derivative of y=(6x)/(1-tan(x))	derivative\:y=\frac{6x}{1-\tan(x)}
(\partial)/(\partial x)(sqrt(3x-2y))	\frac{\partial\:}{\partial\:x}(\sqrt{3x-2y})
integral of e^{-θ}cos(7θ)	\int\:e^{-θ}\cos(7θ)dθ
limit as x approaches 0-of bx+8	\lim\:_{x\to\:0-}(bx+8)
derivative of sqrt(2+xe^{-3x)}	\frac{d}{dx}(\sqrt{2+xe^{-3x}})
(\partial)/(\partial x)(x^{1/4}*y^{1/2})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{4}}\cdot\:y^{\frac{1}{2}})
(3x^2+3x^{-2}y)dx+(x^2y-x^{-1})dy=0	(3x^{2}+3x^{-2}y)dx+(x^{2}y-x^{-1})dy=0
integral from 0 to 2 of pi(x^2-L)^2	\int\:_{0}^{2}π(x^{2}-L)^{2}dx
derivative of (2x+1)/(x+3)	derivative\:\frac{2x+1}{x+3}
area y= 1/x ,y=4x,y= 1/4 x	area\:y=\frac{1}{x},y=4x,y=\frac{1}{4}x
f(t)=tcos(t)-sin(t)	f(t)=t\cos(t)-\sin(t)
derivative of 6/(x^4+1/(x^2))	\frac{d}{dx}(\frac{6}{x^{4}}+\frac{1}{x^{2}})
integral of 1/((sqrt(2x-x^2)))	\int\:\frac{1}{(\sqrt{2x-x^{2}})}dx
integral of (x^6+1)	\int\:(x^{6}+1)dx
limit as x approaches 0+of x^{2sqrt(x)}	\lim\:_{x\to\:0+}(x^{2\sqrt{x}})
y^'=(2x)/((y+x^2y))	y^{\prime\:}=\frac{2x}{(y+x^{2}y)}
limit as y approaches 0 of (sin(y))/y	\lim\:_{y\to\:0}(\frac{\sin(y)}{y})
derivative of 1/(x+ke^x)	derivative\:\frac{1}{x+ke^{x}}
derivative of 0.5	\frac{d}{dx}(0.5)
taylor cos(y)	taylor\:\cos(y)
integral of 4sin(2t)	\int\:4\sin(2t)dt
(\partial)/(\partial y)(tan(x)y)	\frac{\partial\:}{\partial\:y}(\tan(x)y)
derivative of (arcsin(x)^3)	\frac{d}{dx}((\arcsin(x))^{3})
integral of 1/(-1-y^2)	\int\:\frac{1}{-1-y^{2}}dy
derivative of e^x-3	\frac{d}{dx}(e^{x}-3)

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