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Popular Calculus Problems

tangent of f(x)= 6/x ,\at x=5	tangent\:f(x)=\frac{6}{x},\at\:x=5
integral from 0 to 4 of te^{-t}	\int\:_{0}^{4}te^{-t}dt
inverse oflaplace (400)/(25s(s^2+200))	inverselaplace\:\frac{400}{25s(s^{2}+200)}
tangent of y=tan(x),(pi/4 ,1)	tangent\:y=\tan(x),(\frac{π}{4},1)
integral from 8 to 12 of 2/(x^3)	\int\:_{8}^{12}\frac{2}{x^{3}}dx
integral of (xln(x))^2	\int\:(x\ln(x))^{2}dx
limit as x approaches 0 of xsin((7pi)/x)	\lim\:_{x\to\:0}(x\sin(\frac{7π}{x}))
normal of 2x^2-3x+6,\at x=2	normal\:2x^{2}-3x+6,\at\:x=2
slope of x^2	slope\:x^{2}
y^'sqrt(y-x^2y)=-xy	y^{\prime\:}\sqrt{y-x^{2}y}=-xy
integral of tan^5(x)sec^3(x)	\int\:\tan^{5}(x)\sec^{3}(x)dx
(\partial)/(\partial x)(sqrt(x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}})
integral of x^4-8x^3+26x^2-40x+25	\int\:x^{4}-8x^{3}+26x^{2}-40x+25dx
limit as x approaches 7 of (x-7)/(x-7)	\lim\:_{x\to\:7}(\frac{x-7}{x-7})
limit as x approaches 0.5+of 3x	\lim\:_{x\to\:0.5+}(3x)
derivative of (3x^2+3x-2(2x-1)(-2x))	\frac{d}{dx}((3x^{2}+3x-2)(2x-1)(-2x))
limit as x approaches 1 of 1/((x-1)^2)	\lim\:_{x\to\:1}(\frac{1}{(x-1)^{2}})
integral from 0 to 7 of xe^{-2x}	\int\:_{0}^{7}xe^{-2x}dx
derivative of 64sin(2x)	\frac{d}{dx}(64\sin(2x))
derivative of sec^9(2^x)	\frac{d}{dx}(\sec^{9}(2^{x}))
integral of 7ln(\sqrt[3]{x})	\int\:7\ln(\sqrt[3]{x})dx
derivative of x*e^x+e^x	\frac{d}{dx}(x\cdot\:e^{x}+e^{x})
derivative of f(x)=e^{x^3ln(x)}	derivative\:f(x)=e^{x^{3}\ln(x)}
derivative of f(x)= 6/(3x+1)	derivative\:f(x)=\frac{6}{3x+1}
derivative of f(x)=8-2x	derivative\:f(x)=8-2x
(\partial)/(\partial y)(e^{4xy})	\frac{\partial\:}{\partial\:y}(e^{4xy})
sum from n=0 to infinity of (e/(10))^n	\sum\:_{n=0}^{\infty\:}(\frac{e}{10})^{n}
tangent of f(x)=x^2-1,\at x=-1	tangent\:f(x)=x^{2}-1,\at\:x=-1
inverse oflaplace 6/((s^2+9)^2)	inverselaplace\:\frac{6}{(s^{2}+9)^{2}}
derivative of 6e^x+8/(\sqrt[3]{x)}	derivative\:6e^{x}+\frac{8}{\sqrt[3]{x}}
(dy)/(dx)+(7/x)y=x+2	\frac{dy}{dx}+(\frac{7}{x})y=x+2
integral from-2 to 3 of 1/(1+9t^2)	\int\:_{-2}^{3}\frac{1}{1+9t^{2}}dt
area x=4y-y^2,x=y^2-7y	area\:x=4y-y^{2},x=y^{2}-7y
(\partial)/(\partial y)(6x^{2y})	\frac{\partial\:}{\partial\:y}(6x^{2y})
(x^2-1)y^'+2xy^2=0,y(0)=1	(x^{2}-1)y^{\prime\:}+2xy^{2}=0,y(0)=1
derivative of sin(x^2+e^x)	\frac{d}{dx}(\sin(x^{2}+e^{x}))
integral from 0 to pi of 3sin(x)	\int\:_{0}^{π}3\sin(x)dx
integral of (2x^2+x-4)/(x^3-x^2-2x)	\int\:\frac{2x^{2}+x-4}{x^{3}-x^{2}-2x}dx
(\partial)/(\partial x)(7sin(x)sin(y))	\frac{\partial\:}{\partial\:x}(7\sin(x)\sin(y))
derivative of 6/5	\frac{d}{dx}(\frac{6}{5})
d/(dt)(6arctan(t))	\frac{d}{dt}(6\arctan(t))
derivative of 24e^{-3x}	\frac{d}{dx}(24e^{-3x})
d/(dt)(e^{6tsin(2t)})	\frac{d}{dt}(e^{6t\sin(2t)})
integral from 0.5 to 4 of 2/x-1/8 x	\int\:_{0.5}^{4}\frac{2}{x}-\frac{1}{8}xdx
integral of x/(sqrt(x^2+1))	\int\:\frac{x}{\sqrt{x^{2}+1}}dx
(\partial}{\partial x}(\frac{(x+y))/2)	\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{2})
integral of 1/(x(x^2-1)^{3/2)}	\int\:\frac{1}{x(x^{2}-1)^{\frac{3}{2}}}dx
integral from 7 to 14 of sqrt(196-x^2)	\int\:_{7}^{14}\sqrt{196-x^{2}}dx
simplify (2t)/(2+sqrt(t))	simplify\:\frac{2t}{2+\sqrt{t}}
integral of (x^3)/(sqrt(x^4+9))	\int\:\frac{x^{3}}{\sqrt{x^{4}+9}}dx
derivative of f(x)=9^x+e^x	derivative\:f(x)=9^{x}+e^{x}
taylor x^3,-2	taylor\:x^{3},-2
derivative of sqrt(tan(x))	derivative\:\sqrt{\tan(x)}
tangent of f(x)= 2/x ,(-8,-1/4)	tangent\:f(x)=\frac{2}{x},(-8,-\frac{1}{4})
(\partial)/(\partial y)((x-y)/(x+2y))	\frac{\partial\:}{\partial\:y}(\frac{x-y}{x+2y})
taylor cos(x)-x^2,1	taylor\:\cos(x)-x^{2},1
integral from 1 to 6 of (7ln(x))/(x^2)	\int\:_{1}^{6}\frac{7\ln(x)}{x^{2}}dx
limit as x approaches 8 of 2x-3	\lim\:_{x\to\:8}(2x-3)
integral from 1 to 3 of 4r^4ln(r)	\int\:_{1}^{3}4r^{4}\ln(r)dr
derivative of 2^{x^2+x}	derivative\:2^{x^{2}+x}
integral of \|x-2\|	\int\:\left\|x-2\right\|dx
tangent of x^4+7e^x	tangent\:x^{4}+7e^{x}
sum from n=0 to infinity of 9(5/12)^n	\sum\:_{n=0}^{\infty\:}9(\frac{5}{12})^{n}
derivative of (x^2+1^{1/2})	\frac{d}{dx}((x^{2}+1)^{\frac{1}{2}})
area y=sin(x),y=cos(x),x=(5pi)/4 ,x=2pi	area\:y=\sin(x),y=\cos(x),x=\frac{5π}{4},x=2π
tangent of y=(2x)/(x+2),(2,1)	tangent\:y=\frac{2x}{x+2},(2,1)
derivative of (4^x^9)	\frac{d}{dx}((4^{x})^{9})
limit as x approaches infinity+of 1/0	\lim\:_{x\to\:\infty\:+}(\frac{1}{0})
derivative of 3x^4+3x	derivative\:3x^{4}+3x
derivative of sqrt(7u)+sqrt(2u)	derivative\:\sqrt{7u}+\sqrt{2u}
integral from 0 to 1 of 2xe^x	\int\:_{0}^{1}2xe^{x}dx
integral of (cos^2(x))/(1+sin(x))	\int\:\frac{\cos^{2}(x)}{1+\sin(x)}dx
f(x)=ln(x+3)	f(x)=\ln(x+3)
(\partial)/(\partial x)(x^2(1+y)^3)	\frac{\partial\:}{\partial\:x}(x^{2}(1+y)^{3})
d/(dy)((e^y+e^{-y})/2)	\frac{d}{dy}(\frac{e^{y}+e^{-y}}{2})
derivative of 1/3 sin^3(x-sin(x)+1)	\frac{d}{dx}(\frac{1}{3}\sin^{3}(x)-\sin(x)+1)
limit as x approaches 4 of (x+4)/(x+7)	\lim\:_{x\to\:4}(\frac{x+4}{x+7})
derivative of 3x^{5x}	\frac{d}{dx}(3x^{5x})
taylor arctan(2x)	taylor\:\arctan(2x)
y^'=xy^3	y^{\prime\:}=xy^{3}
integral of 9-4x	\int\:9-4xdx
limit as x approaches-1 of x^3-x^2-5x+3	\lim\:_{x\to\:-1}(x^{3}-x^{2}-5x+3)
tangent of y=xsqrt(x)	tangent\:y=x\sqrt{x}
y^{''}-(2/x)y^'-(7/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{2}{x})y^{\prime\:}-(\frac{7}{x^{2}})y=0
derivative of ln(sec(x^2))	\frac{d}{dx}(\ln(\sec(x^{2})))
integral of e^{x+y^2}	\int\:e^{x+y^{2}}dx
integral of ysqrt(10+10y-25y^2)	\int\:y\sqrt{10+10y-25y^{2}}dy
limit as x approaches 0 of (ln(1+3x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+3x)}{x})
integral of-17sin^4(t)cos(t)	\int\:-17\sin^{4}(t)\cos(t)dt
derivative of (sqrt(x)/(3+x))	\frac{d}{dx}(\frac{\sqrt{x}}{3+x})
limit as x approaches 0 of 4sin(x)ln(x)	\lim\:_{x\to\:0}(4\sin(x)\ln(x))
integral from 0 to 18 of 1/30	\int\:_{0}^{18}\frac{1}{30}dx
derivative of (e^xdx)	\frac{d}{dx}((e^{x})dx)
d/(dt)(sin(9t))	\frac{d}{dt}(\sin(9t))
limit as x approaches-infinity of 2x+1	\lim\:_{x\to\:-\infty\:}(2x+1)
limit as x approaches 3+of 2/((x-3))	\lim\:_{x\to\:3+}(\frac{2}{(x-3)})
limit as x approaches 1+of 2-x^2	\lim\:_{x\to\:1+}(2-x^{2})
derivative of 100-x	\frac{d}{dx}(100-x)
(\partial)/(\partial x)((x+2)(y+1))	\frac{\partial\:}{\partial\:x}((x+2)(y+1))
derivative of e^{2x}(2cos(3x+3sin(3x)))	\frac{d}{dx}(e^{2x}(2\cos(3x)+3\sin(3x)))

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