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Popular Calculus Problems

integral of 4x^5-2x^3+x-2	\int\:4x^{5}-2x^{3}+x-2dx
derivative of (x-x^2/(1+3x^2))	\frac{d}{dx}(\frac{x-x^{2}}{1+3x^{2}})
derivative of sqrt(ln(\sqrt{x)})	\frac{d}{dx}(\sqrt{\ln(\sqrt{x})})
derivative of f(x)=(3x-1)e^{-6x}	derivative\:f(x)=(3x-1)e^{-6x}
derivative of sqrt((y+1)/(y-1))	derivative\:\sqrt{\frac{y+1}{y-1}}
limit as x approaches infinity of 1^x	\lim\:_{x\to\:\infty\:}(1^{x})
derivative of 3x+16	\frac{d}{dx}(3x+16)
derivative of-csc(x-cos(x))	\frac{d}{dx}(-\csc(x)-\cos(x))
(d^2)/(dx^2)(sqrt(1+x^2))	\frac{d^{2}}{dx^{2}}(\sqrt{1+x^{2}})
tangent of f(x)=x+1/x ,\at x=2	tangent\:f(x)=x+\frac{1}{x},\at\:x=2
d/(dt)(3/(sqrt(t)))	\frac{d}{dt}(\frac{3}{\sqrt{t}})
derivative of h(x)=sin^5(x)	derivative\:h(x)=\sin^{5}(x)
derivative of x^2-x+2	derivative\:x^{2}-x+2
integral of (3ax^2-2bx)/(sqrt(ax^3-bx^2))	\int\:\frac{3ax^{2}-2bx}{\sqrt{ax^{3}-bx^{2}}}dx
integral of (3x+2)/(x-1)	\int\:\frac{3x+2}{x-1}dx
derivative of \sqrt[3]{x-5}	derivative\:\sqrt[3]{x-5}
derivative of (1-3t)/(5+t)	derivative\:\frac{1-3t}{5+t}
y^{''}-10y^'+24y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+24y=0
deg2rad (r(θ)cos(θ))^'	deg2rad\:(r(θ)\cos(θ))^{\prime\:}
integral of 1/(2sqrt(u))	\int\:\frac{1}{2\sqrt{u}}du
derivative of f(x)=sqrt(ex)	derivative\:f(x)=\sqrt{ex}
integral of ln(sqrt(1+x^2))	\int\:\ln(\sqrt{1+x^{2}})dx
integral of 4e^{5x}	\int\:4e^{5x}dx
integral of (3t-5)e^{2t}	\int\:(3t-5)e^{2t}dt
derivative of cos(sin(15e^x))	derivative\:\cos(\sin(15e^{x}))
integral of (x^2)/(sqrt(7+3x^3))	\int\:\frac{x^{2}}{\sqrt{7+3x^{3}}}dx
(\partial)/(\partial x)(e^{14xy})	\frac{\partial\:}{\partial\:x}(e^{14xy})
derivative of 3x^2-18x+24	\frac{d}{dx}(3x^{2}-18x+24)
derivative of x*sec(x)	derivative\:x\cdot\:\sec(x)
sum from n=0 to infinity of 4+(-1)^n	\sum\:_{n=0}^{\infty\:}4+(-1)^{n}
integral from 0 to infinity of e^{-x-y}	\int\:_{0}^{\infty\:}e^{-x-y}dx
integral of (tan(sqrt(x)))/(sqrt(x))	\int\:\frac{\tan(\sqrt{x})}{\sqrt{x}}dx
integral of e^{3x}(2x^2+1)	\int\:e^{3x}(2x^{2}+1)dx
tangent of x^2-4	tangent\:x^{2}-4
integral of re^{-r^2}	\int\:re^{-r^{2}}dr
sum from n=1 to infinity of 1/((2n-1)^2)	\sum\:_{n=1}^{\infty\:}\frac{1}{(2n-1)^{2}}
integral of pi/2-arctan(x)	\int\:\frac{π}{2}-\arctan(x)dx
parity y=cot^2(cos(θ))	parity\:y=\cot^{2}(\cos(θ))
integral from 6 to infinity of xe^{-3x}	\int\:_{6}^{\infty\:}xe^{-3x}dx
derivative of 1/3 x^3-x^2-3x+4	\frac{d}{dx}(\frac{1}{3}x^{3}-x^{2}-3x+4)
area 7x^4-7x^2,8x^2,0	area\:7x^{4}-7x^{2},8x^{2},0
(\partial)/(\partial y)(e^{-(x^2+y^2)})	\frac{\partial\:}{\partial\:y}(e^{-(x^{2}+y^{2})})
limit as x approaches 4 of ((ln(x)-ln(4)))/(x-4)	\lim\:_{x\to\:4}(\frac{(\ln(x)-\ln(4))}{x-4})
y^'=x^2y^2	y^{\prime\:}=x^{2}y^{2}
integral of (sin^2(x))/(cos(x))	\int\:\frac{\sin^{2}(x)}{\cos(x)}dx
integral of (2s-4)/((s^2-4s+20)^2)	\int\:\frac{2s-4}{(s^{2}-4s+20)^{2}}ds
derivative of f(x)=(x-5)/x	derivative\:f(x)=\frac{x-5}{x}
integral of x*arcsin(x^2)	\int\:x\cdot\:\arcsin(x^{2})dx
integral of t^9e^{-t^{10}}	\int\:t^{9}e^{-t^{10}}dt
integral from 1 to 4 of (2-x^2)-(6-5x)	\int\:_{1}^{4}(2-x^{2})-(6-5x)dx
derivative of (3x+4/(7x-5))	\frac{d}{dx}(\frac{3x+4}{7x-5})
tangent of (x^2-24)^6	tangent\:(x^{2}-24)^{6}
tangent of 5x^2+2x,\at x=3	tangent\:5x^{2}+2x,\at\:x=3
integral of sin^3(4θ)sqrt(cos(4θ))	\int\:\sin^{3}(4θ)\sqrt{\cos(4θ)}dθ
tangent of f(x)=x^2+4	tangent\:f(x)=x^{2}+4
(dy)/(dx)=(1+xy)/(1+x)	\frac{dy}{dx}=\frac{1+xy}{1+x}
(\partial)/(\partial y)(xsin(xy))	\frac{\partial\:}{\partial\:y}(x\sin(xy))
derivative of sin(2x-1)	\frac{d}{dx}(\sin(2x-1))
derivative of e^{2tsin(2t)}	derivative\:e^{2t\sin(2t)}
integral of-acos(x)	\int\:-a\cos(x)dx
derivative of arctan(x^3-1)	\frac{d}{dx}(\arctan(x^{3}-1))
(\partial)/(\partial x)(-2ye^{x^2-y^2})	\frac{\partial\:}{\partial\:x}(-2ye^{x^{2}-y^{2}})
taylor e^{-3x+1}+8	taylor\:e^{-3x+1}+8
integral of (e^{2t})/(e^{2t)-e^{-2t}}	\int\:\frac{e^{2t}}{e^{2t}-e^{-2t}}dt
derivative of (x^4+3x^2(1-5x))	\frac{d}{dx}((x^{4}+3x^{2})(1-5x))
(sin(x^2))^'	(\sin(x^{2}))^{\prime\:}
derivative of x-sin(pix)	derivative\:x-\sin(πx)
derivative of (x+8)^{1/3}	derivative\:(x+8)^{\frac{1}{3}}
integral of (x+2)^3	\int\:(x+2)^{3}dx
derivative of 2x^5e^x	\frac{d}{dx}(2x^{5}e^{x})
limit as x approaches 0+of x^2(1+ln(x))	\lim\:_{x\to\:0+}(x^{2}(1+\ln(x)))
derivative of f(x)= 2/(x^3)	derivative\:f(x)=\frac{2}{x^{3}}
derivative of cot^2(xpi)	derivative\:\cot^{2}(xπ)
derivative of y=6cos(x+y)	derivative\:y=6\cos(x+y)
y^{''}+4y=2sec(2x)	y^{\prime\:\prime\:}+4y=2\sec(2x)
integral of e^{8x+6}	\int\:e^{8x+6}dx
y^'=((cos(18x)))/((e^{(18*y)))}	y^{\prime\:}=\frac{(\cos(18x))}{(e^{(18\cdot\:y)})}
x^2y^{''}+3xy^'-3y=0	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}-3y=0
dy-(y-9)^2dx=0	dy-(y-9)^{2}dx=0
derivative of x^{5/6}	derivative\:x^{\frac{5}{6}}
derivative of (x(2-x))/(e^x)	derivative\:\frac{x(2-x)}{e^{x}}
derivative of sec(2x)	derivative\:\sec(2x)
integral of 2ycos(y^2)	\int\:2y\cos(y^{2})dy
simplify 10000(12+t)e^{-0.05t}	simplify\:10000(12+t)e^{-0.05t}
integral of (e^{1/x})/x	\int\:\frac{e^{\frac{1}{x}}}{x}dx
tangent of f(x)=sqrt(4x+65),(4,9)	tangent\:f(x)=\sqrt{4x+65},(4,9)
area y=sqrt(x),y=(x-3),(3,5.3)	area\:y=\sqrt{x},y=(x-3),(3,5.3)
(\partial)/(\partial y)(x^{1/2}y^{3/2})	\frac{\partial\:}{\partial\:y}(x^{\frac{1}{2}}y^{\frac{3}{2}})
integral from 0 to y^3 of xe^{-x/y}	\int\:_{0}^{y^{3}}xe^{-\frac{x}{y}}dx
integral of (24)/(1-cos(3x))	\int\:\frac{24}{1-\cos(3x)}dx
integral of (18)/(1-cos(9x))	\int\:\frac{18}{1-\cos(9x)}dx
derivative of (2xsqrt(3x-1))/(5x)	derivative\:\frac{2x\sqrt{3x-1}}{5x}
integral of cot^5(2x)	\int\:\cot^{5}(2x)dx
integral of (4x^2-13x+12)/(x(x-2)^2)	\int\:\frac{4x^{2}-13x+12}{x(x-2)^{2}}dx
integral of (3x^3)/(sqrt(x^2+16))	\int\:\frac{3x^{3}}{\sqrt{x^{2}+16}}dx
derivative of (e^x/(cos(3x)))	\frac{d}{dx}(\frac{e^{x}}{\cos(3x)})
integral of cot^2(x)csc^2(x)	\int\:\cot^{2}(x)\csc^{2}(x)dx
integral of 7x^3e^{x^4}	\int\:7x^{3}e^{x^{4}}dx
derivative of (4x^2-5^3)	\frac{d}{dx}((4x^{2}-5)^{3})
xy^'-2y-8=0	xy^{\prime\:}-2y-8=0

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