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Popular Calculus Problems

slope of (2,3),(4,5)	slope\:(2,3),(4,5)
derivative of f(x)=sqrt(4x+32)	derivative\:f(x)=\sqrt{4x+32}
d/(dj)(i+j)	\frac{d}{dj}(i+j)
x^2y^'+3xy=((sin(2x)))/x	x^{2}y^{\prime\:}+3xy=\frac{(\sin(2x))}{x}
limit as x approaches 8 of (x-9)/(x-8)	\lim\:_{x\to\:8}(\frac{x-9}{x-8})
area f(x)=((25-x^2)^{1/2}), 4/3 x,5	area\:f(x)=((25-x^{2})^{\frac{1}{2}}),\frac{4}{3}x,5
(\partial)/(\partial x)(ae^{2x})	\frac{\partial\:}{\partial\:x}(ae^{2x})
integral from 0 to 2 of ((x+2))/(x-4)	\int\:_{0}^{2}\frac{(x+2)}{x-4}dx
integral of 1/((a+bx)^2)	\int\:\frac{1}{(a+bx)^{2}}dx
tangent of y=5-9x^2	tangent\:y=5-9x^{2}
integral of 1/(16x^4-1)	\int\:\frac{1}{16x^{4}-1}dx
derivative of e^{{r}(t,xt})	\frac{d}{dx}(e^{{r}(t,x)t})
integral of (3e^{3t})/(3+e^{3t)}	\int\:\frac{3e^{3t}}{3+e^{3t}}dt
area y=((25-x^2)^{1/2}),y= 4/3 x,x=5	area\:y=((25-x^{2})^{\frac{1}{2}}),y=\frac{4}{3}x,x=5
derivative of ((1+x^2)/(1-x^2))^{17}	derivative\:(\frac{1+x^{2}}{1-x^{2}})^{17}
(dy)/(dx)=sin(17x)	\frac{dy}{dx}=\sin(17x)
limit as x approaches 1 of (4-x)/(x-1)	\lim\:_{x\to\:1}(\frac{4-x}{x-1})
integral of (x+1)*e^{4x+1}	\int\:(x+1)\cdot\:e^{4x+1}dx
derivative of \sqrt[3]{4x-5}	derivative\:\sqrt[3]{4x-5}
integral of 3x^2-sqrt(x)	\int\:3x^{2}-\sqrt{x}dx
(6y+2t-7)dt+(4y+6t-1)dy=0	(6y+2t-7)dt+(4y+6t-1)dy=0
limit as x approaches 1 of 4/((x-1)^2)	\lim\:_{x\to\:1}(\frac{4}{(x-1)^{2}})
(\partial)/(\partial x)((5x)/((x+y)^3))	\frac{\partial\:}{\partial\:x}(\frac{5x}{(x+y)^{3}})
integral of (sqrt(81-x^2))/x	\int\:\frac{\sqrt{81-x^{2}}}{x}dx
integral from 0 to 3 of 5-(x-1)^2	\int\:_{0}^{3}5-(x-1)^{2}dx
(\partial)/(\partial x)(asqrt(x))	\frac{\partial\:}{\partial\:x}(a\sqrt{x})
integral from x to 1 of 2	\int\:_{x}^{1}2dy
derivative of ln(sec(x+tan(x))sin(x))	\frac{d}{dx}(\ln(\sec(x)+\tan(x))\sin(x))
integral of (arcsin(x))	\int\:(\arcsin(x))dx
derivative of ln(sqrt(((x-3)/(x-1))))	\frac{d}{dx}(\ln(\sqrt{\frac{(x-3)}{x-1}}))
derivative of sin(at)	\frac{d}{dx}(\sin(at))
(\partial)/(\partial x)(5xe^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(5xe^{\sqrt{xy}})
limit as x approaches-1 of (x^4-1)/(x-1)	\lim\:_{x\to\:-1}(\frac{x^{4}-1}{x-1})
derivative of 2^{3x^2}	derivative\:2^{3x^{2}}
integral of (cos(2x))/(sin^2(2x))	\int\:\frac{\cos(2x)}{\sin^{2}(2x)}dx
integral of e^xsqrt(19+e^x)	\int\:e^{x}\sqrt{19+e^{x}}dx
derivative of x^2(4-x)^2	derivative\:x^{2}(4-x)^{2}
integral of (2x^2+4x-6)/x	\int\:\frac{2x^{2}+4x-6}{x}dx
integral from 0 to 1 of (3y)/(e^{2y)}	\int\:_{0}^{1}\frac{3y}{e^{2y}}dy
integral of ln(2x+2)	\int\:\ln(2x+2)dx
derivative of x^2-6x+7	\frac{d}{dx}(x^{2}-6x+7)
derivative of (x^2-1/(x^2+1))	\frac{d}{dx}(\frac{x^{2}-1}{x^{2}+1})
integral of 17tan^5(x)sec^4(x)	\int\:17\tan^{5}(x)\sec^{4}(x)dx
integral of x^{-1.1}	\int\:x^{-1.1}dx
limit as x approaches 4 of 2(x)^2-2x	\lim\:_{x\to\:4}(2(x)^{2}-2x)
integral of (t^2)/(sqrt(4-t^2))	\int\:\frac{t^{2}}{\sqrt{4-t^{2}}}dt
integral from 0 to 1 of x(x-1)e^{-x^2}	\int\:_{0}^{1}x(x-1)e^{-x^{2}}dx
integral of (5x^2-5sin(x))	\int\:(5x^{2}-5\sin(x))dx
derivative of sinh(2x)	\frac{d}{dx}(\sinh(2x))
integral of 4cos(sqrt(4x))	\int\:4\cos(\sqrt{4x})dx
limit as x approaches 1+of (x-1)^{(x-1)}	\lim\:_{x\to\:1+}((x-1)^{(x-1)})
derivative of (4-2x-x^2)/(x^2-6)	derivative\:\frac{4-2x-x^{2}}{x^{2}-6}
derivative of B(x-2)^3	derivative\:B(x-2)^{3}
(\partial)/(\partial x)(xsin(x)e^{yx^2})	\frac{\partial\:}{\partial\:x}(x\sin(x)e^{yx^{2}})
slope ofintercept (6,-1),(3,-7)	slopeintercept\:(6,-1),(3,-7)
(\partial)/(\partial x)(xcos(yz))	\frac{\partial\:}{\partial\:x}(x\cos(yz))
integral of (2x-1)^5	\int\:(2x-1)^{5}dx
derivative of cos(x^3*3x^2)	\frac{d}{dx}(\cos(x^{3})\cdot\:3x^{2})
(\partial)/(\partial x)(7cos(x))	\frac{\partial\:}{\partial\:x}(7\cos(x))
integral from 0 to 2 of (x^2)	\int\:_{0}^{2}(x^{2})dx
(dN)/(dt)=k(350-N)	\frac{dN}{dt}=k(350-N)
derivative of (14x+6x^2)/((7+6x)^2)	derivative\:\frac{14x+6x^{2}}{(7+6x)^{2}}
integral of (1+x)/(1+x^2)	\int\:\frac{1+x}{1+x^{2}}dx
limit as x approaches 3-of ((2))/(x-3)	\lim\:_{x\to\:3-}(\frac{(2)}{x-3})
limit as x approaches-infinity of e^{-6x}-2e^{-2x}-1	\lim\:_{x\to\:-\infty\:}(e^{-6x}-2e^{-2x}-1)
integral of (x^2)/((1-x^3)^{3/2)}	\int\:\frac{x^{2}}{(1-x^{3})^{\frac{3}{2}}}dx
integral from 0 to 4 of pi(4x^2)^2	\int\:_{0}^{4}π(4x^{2})^{2}dx
(\partial)/(\partial x)(sqrt(5+2x+3xy^2))	\frac{\partial\:}{\partial\:x}(\sqrt{5+2x+3xy^{2}})
(\partial}{\partial x}(-\frac{2y)/x)	\frac{\partial\:}{\partial\:x}(-\frac{2y}{x})
laplacetransform 5e^{-3t}sin(t)	laplacetransform\:5e^{-3t}\sin(t)
integral of cos(16x)cos(7x)	\int\:\cos(16x)\cos(7x)dx
(d^2)/(dx^2)(x^r)	\frac{d^{2}}{dx^{2}}(x^{r})
inverse oflaplace 1/(s^2+5)	inverselaplace\:\frac{1}{s^{2}+5}
sum from n=0 to infinity of (n+1)(1/2)^n	\sum\:_{n=0}^{\infty\:}(n+1)(\frac{1}{2})^{n}
taylor 1/(1-x^5)	taylor\:\frac{1}{1-x^{5}}
integral from 0 to 1 of (29)/(x^5)	\int\:_{0}^{1}\frac{29}{x^{5}}dx
(dv}{dx}-\frac{2v)/x =-1	\frac{dv}{dx}-\frac{2v}{x}=-1
integral of (x^2-4)/(x^3-12x+3)	\int\:\frac{x^{2}-4}{x^{3}-12x+3}dx
integral of 7^{x+2}	\int\:7^{x+2}dx
derivative of (x^2-100/(x-10))	\frac{d}{dx}(\frac{x^{2}-100}{x-10})
derivative of-2e^x	derivative\:-2e^{x}
integral of (e^x+cos(x)+t+1/t)	\int\:(e^{x}+\cos(x)+t+\frac{1}{t})dx
(\partial)/(\partial x)((3x)/(2+y))	\frac{\partial\:}{\partial\:x}(\frac{3x}{2+y})
derivative of (xcos(x-sin(x))/(6x^2))	\frac{d}{dx}(\frac{x\cos(x)-\sin(x)}{6x^{2}})
derivative of x^2ln(9x)	derivative\:x^{2}\ln(9x)
derivative of sqrt(9x^2+5)	\frac{d}{dx}(\sqrt{9x^{2}+5})
integral from 0 to 0.5 of 8x-1/8 x	\int\:_{0}^{0.5}8x-\frac{1}{8}xdx
sum from n=2 to infinity of 3/(2^n)	\sum\:_{n=2}^{\infty\:}\frac{3}{2^{n}}
integral of 6x^2-3x	\int\:6x^{2}-3xdx
derivative of-0.00000003x^3+9x-6000	\frac{d}{dx}(-0.00000003x^{3}+9x-6000)
integral of (-3x^3+\sqrt[5]{x})/(5x)	\int\:\frac{-3x^{3}+\sqrt[5]{x}}{5x}dx
integral of 14x^{13}	\int\:14x^{13}dx
integral of ((sqrt(x)+5)^7)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+5)^{7}}{2\sqrt{x}}dx
taylor-(81x)/4	taylor\:-\frac{81x}{4}
derivative of g(x)=x^2+(7x)/2-3	derivative\:g(x)=x^{2}+\frac{7x}{2}-3
(dy)/(dx)=(x^2)/(e^y)	\frac{dy}{dx}=\frac{x^{2}}{e^{y}}
integral from 0 to 9 of x^2	\int\:_{0}^{9}x^{2}dx
x(dy)/(dx)-y=x	x\frac{dy}{dx}-y=x
(\partial)/(\partial y)(y^3sin(4x))	\frac{\partial\:}{\partial\:y}(y^{3}\sin(4x))
derivative of (1+6x^2(x-x^2))	\frac{d}{dx}((1+6x^{2})(x-x^{2}))

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