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Popular Calculus Problems

derivative of x-\sqrt[5]{1+x^5-6x^{10}}	\frac{d}{dx}(x-\sqrt[5]{1+x^{5}-6x^{10}})
integral of x^3sqrt(x)	\int\:x^{3}\sqrt{x}dx
integral from 0 to 1 of (12)/(4x^2+5x+1)	\int\:_{0}^{1}\frac{12}{4x^{2}+5x+1}dx
limit as x approaches 2 of x(x-4)	\lim\:_{x\to\:2}(x(x-4))
derivative of x^2(1-xsqrt(x))	\frac{d}{dx}(x^{2}(1-x\sqrt{x}))
limit as x approaches infinity+of x^2e^x	\lim\:_{x\to\:\infty\:+}(x^{2}e^{x})
integral of sin^2(2t)	\int\:\sin^{2}(2t)dt
integral from 0 to 5 of x^3sqrt(1+9x^4)	\int\:_{0}^{5}x^{3}\sqrt{1+9x^{4}}dx
integral of (4x+2)/(e^x)	\int\:\frac{4x+2}{e^{x}}dx
integral of 1/(cos^2(t))	\int\:\frac{1}{\cos^{2}(t)}dt
derivative of f(x)=2x^3+x	derivative\:f(x)=2x^{3}+x
limit as x approaches 0 of sin(1/2)	\lim\:_{x\to\:0}(\sin(\frac{1}{2}))
integral of (9x^2)/(x^3+8)	\int\:\frac{9x^{2}}{x^{3}+8}dx
integral of ((x^2-8))/(8x)	\int\:\frac{(x^{2}-8)}{8x}dx
integral from 0 to 1 of 6cos(x^2)	\int\:_{0}^{1}6\cos(x^{2})dx
(\partial)/(\partial x)(4x^3-4y)	\frac{\partial\:}{\partial\:x}(4x^{3}-4y)
(dy}{dx}+\frac{3y)/x =6x^2	\frac{dy}{dx}+\frac{3y}{x}=6x^{2}
derivative of sin(2t)	derivative\:\sin(2t)
(\partial)/(\partial x)(x^{0.75})	\frac{\partial\:}{\partial\:x}(x^{0.75})
y^{''}+2y^'-y=0,y(0)=0,y^'(0)=2sqrt(2)	y^{\prime\:\prime\:}+2y^{\prime\:}-y=0,y(0)=0,y^{\prime\:}(0)=2\sqrt{2}
limit as x approaches 1/2 of 3x-5	\lim\:_{x\to\:\frac{1}{2}}(3x-5)
integral of (x^2-2x+5)/(sqrt(9-x^2))	\int\:\frac{x^{2}-2x+5}{\sqrt{9-x^{2}}}dx
tangent of y=-x^2,(8,-64)	tangent\:y=-x^{2},(8,-64)
area e^x,e^{-4x},ln(4)	area\:e^{x},e^{-4x},\ln(4)
integral of-x^2+x+6	\int\:-x^{2}+x+6dx
area y=sqrt(x+3),x=-3,y=5	area\:y=\sqrt{x+3},x=-3,y=5
(\partial)/(\partial x)(2000e^{(x)(y)})	\frac{\partial\:}{\partial\:x}(2000e^{(x)(y)})
derivative of sqrt(t^2+a^2)	derivative\:\sqrt{t^{2}+a^{2}}
derivative of x^4e^{10x}	\frac{d}{dx}(x^{4}e^{10x})
derivative of 8/5 x^{-2/4}	\frac{d}{dx}(\frac{8}{5}x^{-\frac{2}{4}})
tangent of f(x)=x^3+2x,\at x=3	tangent\:f(x)=x^{3}+2x,\at\:x=3
limit as x approaches 1 of 7	\lim\:_{x\to\:1}(7)
maclaurin x^4	maclaurin\:x^{4}
area v(t)=sqrt(t)-13,[0,3]	area\:v(t)=\sqrt{t}-13,[0,3]
area 2x^3+10x^2+22x-3,x^3-x^2-6x-3,-2,-2	area\:2x^{3}+10x^{2}+22x-3,x^{3}-x^{2}-6x-3,-2,-2
derivative of 2/((1+x^3))	\frac{d}{dx}(\frac{2}{(1+x)^{3}})
tangent of y=x^2+x,(1,2)	tangent\:y=x^{2}+x,(1,2)
area x^2+12x,3x^2+10,1,4	area\:x^{2}+12x,3x^{2}+10,1,4
y^{''}-4y^'+4y=3x^2+2xe^{2x}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=3x^{2}+2xe^{2x}
sum from n=9 to infinity of e^{3-2n}	\sum\:_{n=9}^{\infty\:}e^{3-2n}
inverse oflaplace 1/(1+x)	inverselaplace\:\frac{1}{1+x}
integral of sqrt(5x-3)	\int\:\sqrt{5x-3}dx
limit as x approaches 0 of e^{pi(x+1)}	\lim\:_{x\to\:0}(e^{π(x+1)})
y^'=2xy^2+3x^2y^2	y^{\prime\:}=2xy^{2}+3x^{2}y^{2}
limit as x approaches-7 of 1/(x^2(x+7))	\lim\:_{x\to\:-7}(\frac{1}{x^{2}(x+7)})
x^{''}+x=e^{2t}	x^{\prime\:\prime\:}+x=e^{2t}
(\partial)/(\partial x)(ln(x+8y+4z))	\frac{\partial\:}{\partial\:x}(\ln(x+8y+4z))
limit as x approaches 0 of ln(x+1)	\lim\:_{x\to\:0}(\ln(x+1))
derivative of (6xh+3h^2)/h	derivative\:\frac{6xh+3h^{2}}{h}
derivative of f(x)=-e^x	derivative\:f(x)=-e^{x}
(\partial)/(\partial x)(In\|x-y\|)	\frac{\partial\:}{\partial\:x}(In\left\|x-y\right\|)
limit as x approaches 2 of e^{3/((2-x))}	\lim\:_{x\to\:2}(e^{\frac{3}{(2-x)}})
y^{''}-y^'-12y=2e^{3x}	y^{\prime\:\prime\:}-y^{\prime\:}-12y=2e^{3x}
(\partial)/(\partial v)({u}(v)(v)^2e^{-v})	\frac{\partial\:}{\partial\:v}({u}(v)(v)^{2}e^{-v})
limit as x approaches-7 of (x+7)/(\|x+7\|)	\lim\:_{x\to\:-7}(\frac{x+7}{\left\|x+7\right\|})
integral from 1 to e of ln(10x)	\int\:_{1}^{e}\ln(10x)dx
derivative of y=sin^2(4pit-5)	derivative\:y=\sin^{2}(4πt-5)
derivative of sqrt(x^2-4)+sqrt(4-y^2)	\frac{d}{dx}(\sqrt{x^{2}-4}+\sqrt{4-y^{2}})
integral of x^2(x^3+1)^4	\int\:x^{2}(x^{3}+1)^{4}dx
(\partial)/(\partial x)(x^2+y^2+48-xy-6x)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+48-xy-6x)
derivative of (cos(x))/(x^7)	derivative\:\frac{\cos(x)}{x^{7}}
tangent of f(x)=x^2-3x	tangent\:f(x)=x^{2}-3x
integral of 21te^t	\int\:21te^{t}dt
integral of 3xsqrt(x^2+4)	\int\:3x\sqrt{x^{2}+4}dx
derivative of e^{-5x}cos(3x)	\frac{d}{dx}(e^{-5x}\cos(3x))
integral of ln(7x+1)	\int\:\ln(7x+1)dx
derivative of (3x^5-1(2-x^4))	\frac{d}{dx}((3x^{5}-1)(2-x^{4}))
derivative of y=xsqrt(x+1)	derivative\:y=x\sqrt{x+1}
integral of 2x^3sqrt(x^2-1)	\int\:2x^{3}\sqrt{x^{2}-1}dx
integral of 7e^{-0.2x}	\int\:7e^{-0.2x}dx
derivative of e^{tan(pix})	\frac{d}{dx}(e^{\tan(πx)})
integral of (40)/(40+e^x)	\int\:\frac{40}{40+e^{x}}dx
f(x)=2e^{x-1}	f(x)=2e^{x-1}
integral of 9/(x+1)	\int\:\frac{9}{x+1}dx
area y=7x^2,y^2= 1/7 x	area\:y=7x^{2},y^{2}=\frac{1}{7}x
taylor 1/(sqrt(1+x))	taylor\:\frac{1}{\sqrt{1+x}}
limit as x approaches 3+of x^2	\lim\:_{x\to\:3+}(x^{2})
integral of 1/(x^3+3x^2)	\int\:\frac{1}{x^{3}+3x^{2}}dx
y^{''}-y^'-2y=-6t+10t^2	y^{\prime\:\prime\:}-y^{\prime\:}-2y=-6t+10t^{2}
inverse oflaplace (1+e^{-spi})/(s^2+1)	inverselaplace\:\frac{1+e^{-sπ}}{s^{2}+1}
derivative of y=3e^{3e^x+x}	derivative\:y=3e^{3e^{x}+x}
area tan(x),2sin(x),[-pi/3 , pi/3 ]	area\:\tan(x),2\sin(x),[-\frac{π}{3},\frac{π}{3}]
(\partial)/(\partial x)(e^{-2x})	\frac{\partial\:}{\partial\:x}(e^{-2x})
derivative of (4x^{3x})	\frac{d}{dx}((4x)^{3x})
area y=0,y=x^2,y=x+2	area\:y=0,y=x^{2},y=x+2
limit as x approaches infinity of \|2-x\|	\lim\:_{x\to\:\infty\:}(\left\|2-x\right\|)
derivative of 0.5(1-cos(x))	\frac{d}{dx}(0.5(1-\cos(x)))
(dy)/(dx)=sqrt(4y)e^{x+6}	\frac{dy}{dx}=\sqrt{4y}e^{x+6}
(\partial)/(\partial x)(2x^3+2xy^3)	\frac{\partial\:}{\partial\:x}(2x^{3}+2xy^{3})
integral of 1/(16x)	\int\:\frac{1}{16x}dx
(\partial)/(\partial x)(y^3sin(3x))	\frac{\partial\:}{\partial\:x}(y^{3}\sin(3x))
derivative of g(x)=((pi^2))/(x^2+4x)	derivative\:g(x)=\frac{(π^{2})}{x^{2}+4x}
derivative of sec(x-x)	\frac{d}{dx}(\sec(x)-x)
tangent of y=x^2+4x-11,(2,-1)	tangent\:y=x^{2}+4x-11,(2,-1)
taylor f(x)=sqrt(1+x),x=0	taylor\:f(x)=\sqrt{1+x},x=0
derivative of 2sqrt(1-x^2)	\frac{d}{dx}(2\sqrt{1-x^{2}})
limit as x approaches infinity of x^2+x	\lim\:_{x\to\:\infty\:}(x^{2}+x)
derivative of f(x)=\sqrt[3]{x^4}	derivative\:f(x)=\sqrt[3]{x^{4}}
limit as x approaches+(-1) of-x^2+4x-5	\lim\:_{x\to\:+(-1)}(-x^{2}+4x-5)
(dy)/(dx)=4xsqrt(1-y^2)	\frac{dy}{dx}=4x\sqrt{1-y^{2}}

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