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Popular Calculus Problems

integral from 0 to infinity of 3/(5x)	\int\:_{0}^{\infty\:}\frac{3}{5x}dx
integral of cos^{-4}(x)sin(x)	\int\:\cos^{-4}(x)\sin(x)dx
(\partial)/(\partial x)(1+xln(xy-5))	\frac{\partial\:}{\partial\:x}(1+x\ln(xy-5))
(\partial)/(\partial x)(pir^2h)	\frac{\partial\:}{\partial\:x}(πr^{2}h)
integral of e^{(x)}	\int\:e^{(x)}dx
derivative of-3cos(2x)	\frac{d}{dx}(-3\cos(2x))
derivative of (3x^6+2x^3)^4	derivative\:(3x^{6}+2x^{3})^{4}
integral of ((16x^2))/((sqrt(2x+5))^5)	\int\:\frac{(16x^{2})}{(\sqrt{2x+5})^{5}}dx
limit as x approaches pi+of sin(x)	\lim\:_{x\to\:π+}(\sin(x))
maclaurin (x^2)/((1+2x)^3)	maclaurin\:\frac{x^{2}}{(1+2x)^{3}}
integral of-sin(2t)	\int\:-\sin(2t)dt
integral from 1 to 4 of 8sqrt(t)ln(t)	\int\:_{1}^{4}8\sqrt{t}\ln(t)dt
y^'=-0.02(y-20)	y^{\prime\:}=-0.02(y-20)
sum from n=1 to infinity of 2-5/(2^n)	\sum\:_{n=1}^{\infty\:}2-\frac{5}{2^{n}}
inverse oflaplace (4x-1)/(2x+3)	inverselaplace\:\frac{4x-1}{2x+3}
integral from 1 to b of 1/((x+8)^2)	\int\:_{1}^{b}\frac{1}{(x+8)^{2}}dx
integral of (e^x)/(3+16e^{2x)}	\int\:\frac{e^{x}}{3+16e^{2x}}dx
integral of ((1))/((u^2-1))	\int\:\frac{(1)}{(u^{2}-1)}du
tangent of f(x)=5x^3,\at x=2	tangent\:f(x)=5x^{3},\at\:x=2
(\partial)/(\partial x)(xy+cos(x))	\frac{\partial\:}{\partial\:x}(xy+\cos(x))
derivative of f(x)=(2x-6)^2(x^2+x+1)^2	\frac{d}{dx}f(x)=(2x-6)^{2}(x^{2}+x+1)^{2}
derivative of 4/(sin(x+cos(x)))	\frac{d}{dx}(\frac{4}{\sin(x)+\cos(x)})
integral of cos(x)-9sin(x)	\int\:\cos(x)-9\sin(x)dx
integral of 5/(sqrt(x+5)+\sqrt{x)}	\int\:\frac{5}{\sqrt{x+5}+\sqrt{x}}dx
area f(x)=sqrt(x+3),[0,9]	area\:f(x)=\sqrt{x+3},[0,9]
limit as x approaches 2*pi of ln(cos(x))	\lim\:_{x\to\:2\cdot\:π}(\ln(\cos(x)))
inverse oflaplace (s+3)/(s^2+5s+1)	inverselaplace\:\frac{s+3}{s^{2}+5s+1}
integral of (xe^{5x})	\int\:(xe^{5x})dx
(dy)/(e^{-2y)}=8x^3dx	\frac{dy}{e^{-2y}}=8x^{3}dx
(\partial)/(\partial y)(9x^{y/z})	\frac{\partial\:}{\partial\:y}(9x^{\frac{y}{z}})
derivative of (sin(3x)/(cos(2x)))	\frac{d}{dx}(\frac{\sin(3x)}{\cos(2x)})
derivative of arcsin(x/9)	derivative\:\arcsin(\frac{x}{9})
tangent of f(x)=(e^x)/x ,e,\at x=1	tangent\:f(x)=\frac{e^{x}}{x},e,\at\:x=1
integral of (9x-6)^2	\int\:(9x-6)^{2}dx
derivative of-xe^x	derivative\:-xe^{x}
area y^2=x+4,y^2=2-x	area\:y^{2}=x+4,y^{2}=2-x
integral of (9w^8-5w^5+3w^2-16)/(8w^4)	\int\:\frac{9w^{8}-5w^{5}+3w^{2}-16}{8w^{4}}dw
integral of-5x^{-8}	\int\:-5x^{-8}dx
derivative of-(x^3+8x^2+19x+12/((x+20)))	\frac{d}{dx}(-\frac{x^{3}+8x^{2}+19x+12}{(x+20)})
derivative of a*x+b	\frac{d}{dx}(a\cdot\:x+b)
integral of (4x-5)/(4x^2-12x+13)	\int\:\frac{4x-5}{4x^{2}-12x+13}dx
integral of (e^{-ln(1-x^2)})/(x^2)	\int\:\frac{e^{-\ln(1-x^{2})}}{x^{2}}dx
(dy)/(dx)=((x-2))/(y+1)	\frac{dy}{dx}=\frac{(x-2)}{y+1}
derivative of (2x^2+6x+6)/(sqrt(x))	derivative\:\frac{2x^{2}+6x+6}{\sqrt{x}}
integral of xsqrt(8-x^2)	\int\:x\sqrt{8-x^{2}}dx
slope ofintercept (-1,19),(5,-41)	slopeintercept\:(-1,19),(5,-41)
derivative of 50x-xsqrt(x)	derivative\:50x-x\sqrt{x}
integral of 2/(3xsqrt(x))	\int\:\frac{2}{3x\sqrt{x}}dx
integral from 0 to pi/4 of 2tan^4(x)	\int\:_{0}^{\frac{π}{4}}2\tan^{4}(x)dx
derivative of 5sin(x)	derivative\:5\sin(x)
derivative of f(x)= 2/(x+2)	derivative\:f(x)=\frac{2}{x+2}
derivative of 4tan(x)	derivative\:4\tan(x)
derivative of (-2x^2/(5y^2))	\frac{d}{dx}(\frac{-2x^{2}}{5y^{2}})
integral from 0 to 3 of 2/(sqrt(3-x))	\int\:_{0}^{3}\frac{2}{\sqrt{3-x}}dx
derivative of (2x-1/(x+5))	\frac{d}{dx}(\frac{2x-1}{x+5})
integral of 12sin(x)cos(x)	\int\:12\sin(x)\cos(x)dx
integral of 3/(x^2+3x-10)	\int\:\frac{3}{x^{2}+3x-10}dx
(dy)/(dx)+y=e^{2x}	\frac{dy}{dx}+y=e^{2x}
derivative of y=xe^{x^2}	derivative\:y=xe^{x^{2}}
derivative of (3x-9/(x+5))	\frac{d}{dx}(\frac{3x-9}{x+5})
integral of (pi-x)*cos(nx)	\int\:(π-x)\cdot\:\cos(nx)dx
integral of (x^2)/((x^3-5)^2)	\int\:\frac{x^{2}}{(x^{3}-5)^{2}}dx
(dy)/(dx)=-1/x	\frac{dy}{dx}=-\frac{1}{x}
y^'+y=e^{2t},y(0)=-1	y^{\prime\:}+y=e^{2t},y(0)=-1
integral of (1-ln(x))	\int\:(1-\ln(x))dx
(\partial}{\partial y}(\frac{e^x+e^y)/2)	\frac{\partial\:}{\partial\:y}(\frac{e^{x}+e^{y}}{2})
y^{''}+2y^'+y=1,y(1)=1,y^'(1)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+y=1,y(1)=1,y^{\prime\:}(1)=0
limit as x approaches-5+of ((x-5))/(x+5)	\lim\:_{x\to\:-5+}(\frac{(x-5)}{x+5})
integral of (x^2+2x+2)/(x+2)	\int\:\frac{x^{2}+2x+2}{x+2}dx
limit as x approaches-2+of (-8x)/(x+2)	\lim\:_{x\to\:-2+}(\frac{-8x}{x+2})
integral of 2cos(x	\int\:2\cos(d)xdx
inverse oflaplace 1/(s(s+6)(s+2))	inverselaplace\:\frac{1}{s(s+6)(s+2)}
limit as x approaches+6-of 1/(x-6)	\lim\:_{x\to\:+6-}(\frac{1}{x-6})
y^'=3y^2sin(x)	y^{\prime\:}=3y^{2}\sin(x)
(dy)/(dx)=sqrt(10x+y)-10	\frac{dy}{dx}=\sqrt{10x+y}-10
(\partial)/(\partial y)(ln(xy^2))	\frac{\partial\:}{\partial\:y}(\ln(xy^{2}))
integral of 1/(sqrt(1-u^2))	\int\:\frac{1}{\sqrt{1-u^{2}}}du
derivative of A/(y^9)+Be^y	derivative\:\frac{A}{y^{9}}+Be^{y}
integral of 3/(x^2+9)	\int\:\frac{3}{x^{2}+9}dx
integral of t/1	\int\:\frac{t}{1}dt
integral of 4tan(4x)	\int\:4\tan(4x)dx
derivative of xsqrt(6-x)	\frac{d}{dx}(x\sqrt{6-x})
4xdy-ydx=x^2dy	4xdy-ydx=x^{2}dy
integral of 4cos(x)sin(x)	\int\:4\cos(x)\sin(x)dx
derivative of 5x-3/x	derivative\:5x-\frac{3}{x}
derivative of 5*cos(x)	\frac{d}{dx}(5\cdot\:\cos(x))
4(dy)/(dx)=y^2	4\frac{dy}{dx}=y^{2}
limit as x approaches 0 of ((9^x-5^x))/x	\lim\:_{x\to\:0}(\frac{(9^{x}-5^{x})}{x})
y^'=y*k(100-y)	y^{\prime\:}=y\cdot\:k(100-y)
derivative of-(x^6/(sqrt(1+x^{12))})	\frac{d}{dx}(-\frac{x^{6}}{\sqrt{1+x^{12}}})
integral of x/((x+3)^2)	\int\:\frac{x}{(x+3)^{2}}dx
cot(x)y^'=y	\cot(x)y^{\prime\:}=y
(\partial)/(\partial y)(e^{x^2}+y^2)	\frac{\partial\:}{\partial\:y}(e^{x^{2}}+y^{2})
limit as x approaches 3+of (x^2)/(x-3)	\lim\:_{x\to\:3+}(\frac{x^{2}}{x-3})
derivative of 1/(x-1+1/(x+1))	\frac{d}{dx}(\frac{1}{x-1}+\frac{1}{x+1})
integral of 1/(sqrt(x-5))	\int\:\frac{1}{\sqrt{x-5}}dx
derivative of x+pi	\frac{d}{dx}(x+π)
sum from n=1 to infinity of (-1)^n(1/n)	\sum\:_{n=1}^{\infty\:}(-1)^{n}(\frac{1}{n})
integral of e^{6x}	\int\:e^{6x}dx
integral of sin^2(ln(x))	\int\:\sin^{2}(\ln(x))dx

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