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Popular Calculus Problems

limit as x approaches 0 of csc(x)-cot(x)	\lim\:_{x\to\:0}(\csc(x)-\cot(x))
integral of 0.1e^{-0.1x}	\int\:0.1e^{-0.1x}dx
(dy)/(dt)=sin(3t)-2y	\frac{dy}{dt}=\sin(3t)-2y
limit as x approaches 9+of 5/(x-9)	\lim\:_{x\to\:9+}(\frac{5}{x-9})
integral of (5+sqrt(3x+1))	\int\:(5+\sqrt{3x+1})dx
derivative of 3sec(x)	derivative\:3\sec(x)
y^'+y=sin(t)	y^{\prime\:}+y=\sin(t)
derivative of 3+ln(x)	\frac{d}{dx}(3+\ln(x))
inverse oflaplace (e^{-7s})/(s^2)	inverselaplace\:\frac{e^{-7s}}{s^{2}}
integral of 2sin(x^2)	\int\:2\sin(x^{2})dx
integral of 13tan^5(x)sec^4(x)	\int\:13\tan^{5}(x)\sec^{4}(x)dx
limit as x approaches 5-of (x+1)/(x+5)	\lim\:_{x\to\:5-}(\frac{x+1}{x+5})
integral of 30+cos(x)	\int\:30+\cos(x)dx
slope of (11.5)(2.1)	slope\:(11.5)(2.1)
y^'+4y=5sin(e^{4x})	y^{\prime\:}+4y=5\sin(e^{4x})
integral from 1 to e of 7t^2ln(t)	\int\:_{1}^{e}7t^{2}\ln(t)dt
tangent of x^2+x-3	tangent\:x^{2}+x-3
(\partial)/(\partial y)(3x^2y^4-3)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{4}-3)
derivative of f(x)=4sqrt(x^3)	derivative\:f(x)=4\sqrt{x^{3}}
derivative of ln(1+xy)	\frac{d}{dx}(\ln(1+xy))
integral of 30(x+7)(x+5)^4	\int\:30(x+7)(x+5)^{4}dx
limit as x approaches 8 of (8x)/(x-8)	\lim\:_{x\to\:8}(\frac{8x}{x-8})
y^'=(1-2t)y^2,y(0)=-1/6	y^{\prime\:}=(1-2t)y^{2},y(0)=-\frac{1}{6}
integral of x^3sqrt(x^2+24)	\int\:x^{3}\sqrt{x^{2}+24}dx
derivative of (x^2+3/(x+1))	\frac{d}{dx}(\frac{x^{2}+3}{x+1})
integral from 1 to 2 of 5/(2x-1)	\int\:_{1}^{2}\frac{5}{2x-1}dx
integral of 9cos(3x)	\int\:9\cos(3x)dx
integral of x(x+2)^{1/2}	\int\:x(x+2)^{\frac{1}{2}}dx
(2xy+3y^2)dx=(2xy+x^2)dy	(2xy+3y^{2})dx=(2xy+x^{2})dy
limit as x approaches 2 of (x^3-8)/(2-x)	\lim\:_{x\to\:2}(\frac{x^{3}-8}{2-x})
integral of (u^2)/(u^2+1)	\int\:\frac{u^{2}}{u^{2}+1}du
sum from k=1 to infinity of k/(2^k)	\sum\:_{k=1}^{\infty\:}\frac{k}{2^{k}}
derivative of cosh(x^2)	\frac{d}{dx}(\cosh(x^{2}))
derivative of \sqrt[5]{(9x^7+3x^4-2)^3}	derivative\:\sqrt[5]{(9x^{7}+3x^{4}-2)^{3}}
(\partial)/(\partial p)(p^3q^2+2pq+p/q)	\frac{\partial\:}{\partial\:p}(p^{3}q^{2}+2pq+\frac{p}{q})
integral of (3x^2)/(x^3-1)	\int\:\frac{3x^{2}}{x^{3}-1}dx
derivative of f(x)=(ln(x^5))^2	derivative\:f(x)=(\ln(x^{5}))^{2}
integral of 9/(x^{-1)+3}	\int\:\frac{9}{x^{-1}+3}dx
(\partial)/(\partial x)(ycos(x^2y))	\frac{\partial\:}{\partial\:x}(y\cos(x^{2}y))
slope of (8 1/7 ,9),(4,3 1/5)	slope\:(8\frac{1}{7},9),(4,3\frac{1}{5})
tangent of y=ln(x^2-5x+1),(5,0)	tangent\:y=\ln(x^{2}-5x+1),(5,0)
integral from 0 to pi/3 of xsin(6x)	\int\:_{0}^{\frac{π}{3}}x\sin(6x)dx
integral of (1+sqrt(x))^0	\int\:(1+\sqrt{x})^{0}dx
derivative of sqrt(x)-(1/2 ^x)	\frac{d}{dx}(\sqrt{x}-(\frac{1}{2})^{x})
integral of cos^3(θ)+cos(θ)sin^2(θ)	\int\:\cos^{3}(θ)+\cos(θ)\sin^{2}(θ)dθ
sum from n=1 to infinity of 5/(7^n)	\sum\:_{n=1}^{\infty\:}\frac{5}{7^{n}}
y(x+y+1)dx+2xydy=0	y(x+y+1)dx+2xydy=0
integral from 0 to 4 of x/(x^2+1)	\int\:_{0}^{4}\frac{x}{x^{2}+1}dx
derivative of x^{4/5}-x^{2/3}	\frac{d}{dx}(x^{\frac{4}{5}}-x^{\frac{2}{3}})
integral of (2x)/(x+3)	\int\:\frac{2x}{x+3}dx
derivative of ln((5x^3sin(-5x)/(3-x)))	\frac{d}{dx}(\ln(\frac{5x^{3}\sin(-5x)}{3-x}))
integral from-1 to 2 of (x-2\|x\|)	\int\:_{-1}^{2}(x-2\left\|x\right\|)dx
integral of (3x^2+8)/(x^3+8x)	\int\:\frac{3x^{2}+8}{x^{3}+8x}dx
integral of (1/x+2y^2x)	\int\:(\frac{1}{x}+2y^{2}x)dx
derivative of y=sqrt(9-x^2)	derivative\:y=\sqrt{9-x^{2}}
integral of 18x^2	\int\:18x^{2}dx
limit as h approaches 0 of 8	\lim\:_{h\to\:0}(8)
integral of csc(2x)cot(2x)	\int\:\csc(2x)\cot(2x)dx
integral from 0 to pi of sin(x)cos(nx)	\int\:_{0}^{π}\sin(x)\cos(nx)dx
t(dy)/(dt)+3y=3t	t\frac{dy}{dt}+3y=3t
(\partial)/(\partial x)(4xy+yz+5xz-40)	\frac{\partial\:}{\partial\:x}(4xy+yz+5xz-40)
integral of-5e^{2x}	\int\:-5e^{2x}dx
integral from-pi to 0 of sin^2(x)	\int\:_{-π}^{0}\sin^{2}(x)dx
integral of 1/(x^2-9)	\int\:\frac{1}{x^{2}-9}dx
derivative of P(t)=25e^{0.3t}	derivative\:P(t)=25e^{0.3t}
(\partial ^2)/(\partial x\partial y)(xarcsin(y/x))	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(x\arcsin(\frac{y}{x}))
inverse oflaplace 2/(s^2+2s+2)	inverselaplace\:\frac{2}{s^{2}+2s+2}
integral of 3/2 x^2-\sqrt[3]{x^4}	\int\:\frac{3}{2}x^{2}-\sqrt[3]{x^{4}}dx
derivative of-x^2+x+a	derivative\:-x^{2}+x+a
derivative of 8x^5+45x^4+80x^3+50x^2+200	\frac{d}{dx}(8x^{5}+45x^{4}+80x^{3}+50x^{2}+200)
derivative of e^tcos(t)	derivative\:e^{t}\cos(t)
(x-6)y^'+y=x^2-20	(x-6)y^{\prime\:}+y=x^{2}-20
integral of x^3sqrt(16-x^2)	\int\:x^{3}\sqrt{16-x^{2}}dx
integral of 8x-10y+2	\int\:8x-10y+2dy
integral of (ln(x)cos(x))sin(x)	\int\:(\ln(x)\cos(x))\sin(x)dx
y^'=((1-2t))/y	y^{\prime\:}=\frac{(1-2t)}{y}
integral from 0 to 4 of (4x^2+7x)	\int\:_{0}^{4}(4x^{2}+7x)dx
derivative of e^xx^3	\frac{d}{dx}(e^{x}x^{3})
(dy)/(dx)=(((2y+7))/((8x+9)))^2	\frac{dy}{dx}=(\frac{(2y+7)}{(8x+9)})^{2}
inverse oflaplace (s(s+2))/((s+1)^2)	inverselaplace\:\frac{s(s+2)}{(s+1)^{2}}
integral of 1/(e^ysin^2(e^{-y))}	\int\:\frac{1}{e^{y}\sin^{2}(e^{-y})}dy
derivative of f(x)= 1/(x^7+2)	derivative\:f(x)=\frac{1}{x^{7}+2}
integral of (x^6)	\int\:(x^{6})dx
ty^'=3y+t^4sin(4t),y(pi/4)=0	ty^{\prime\:}=3y+t^{4}\sin(4t),y(\frac{π}{4})=0
derivative of sec(pix)	\frac{d}{dx}(\sec(πx))
integral of (4x+2)/(x+2)	\int\:\frac{4x+2}{x+2}dx
derivative of 1/(\sqrt[3]{4x^2-7})	\frac{d}{dx}(\frac{1}{\sqrt[3]{4x^{2}-7}})
(\partial)/(\partial y)(-x/(y^2))	\frac{\partial\:}{\partial\:y}(-\frac{x}{y^{2}})
xydx+(x^2+y^2)dy=0	xydx+(x^{2}+y^{2})dy=0
integral of 1/((x-5)ln(x-5))	\int\:\frac{1}{(x-5)\ln(x-5)}dx
integral of 7e^{4x}	\int\:7e^{4x}dx
integral from 2 to infinity of e^{-3x}	\int\:_{2}^{\infty\:}e^{-3x}dx
slope of (2,5),(8,-4)	slope\:(2,5),(8,-4)
d/(dt)(7/(sqrt(t)))	\frac{d}{dt}(\frac{7}{\sqrt{t}})
simplify (sin(ln(4)x^2))/x	simplify\:\frac{\sin(\ln(4)x^{2})}{x}
derivative of f(x)=x-2	derivative\:f(x)=x-2
derivative of 2x+2y(dy/(dx))	\frac{d}{dx}(2x+2y\frac{dy}{dx})
area y=2sqrt(x),y=((x^2))/4	area\:y=2\sqrt{x},y=\frac{(x^{2})}{4}
integral of 5x^4e^{4x^5}	\int\:5x^{4}e^{4x^{5}}dx
derivative of sin(t)-tcos(t)	derivative\:\sin(t)-t\cos(t)

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