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Popular Calculus Problems
(3x^3)^'
(3x^{3})^{\prime\:}
integral of cot^4(x)csc^2(x)
\int\:\cot^{4}(x)\csc^{2}(x)dx
integral of-sin(x)+1/(cos^2(x))
\int\:-\sin(x)+\frac{1}{\cos^{2}(x)}dx
integral of x^2-ln(x^2)+k
\int\:x^{2}-\ln(x^{2})+kdx
integral from 1 to 5 of 1
\int\:_{1}^{5}1dx
integral of x^2*e^{-ax}
\int\:x^{2}\cdot\:e^{-ax}dx
taylor 1/((x-1))
taylor\:\frac{1}{(x-1)}
limit as x approaches 2 of ln(x/(x^2-4))
\lim\:_{x\to\:2}(\ln(\frac{x}{x^{2}-4}))
derivative of ay(e^{by})
derivative\:ay(e^{by})
derivative of ln(-x)
derivative\:\ln(-x)
integral of (12)/(x^{-1)+3}
\int\:\frac{12}{x^{-1}+3}dx
derivative of 1/(2x+9)
\frac{d}{dx}(\frac{1}{2x+9})
integral from 1 to 4 of (2x+1)
\int\:_{1}^{4}(2x+1)dx
limit as x approaches-2 of sqrt(8+x^2)
\lim\:_{x\to\:-2}(\sqrt{8+x^{2}})
sum from n=1 to infinity of (-1/2)^n
\sum\:_{n=1}^{\infty\:}(-\frac{1}{2})^{n}
y^{''}-y^'-2y=8,y(0)=0,y^'(0)=5
y^{\prime\:\prime\:}-y^{\prime\:}-2y=8,y(0)=0,y^{\prime\:}(0)=5
limit as x approaches 3 of 4^{x^3}-8x
\lim\:_{x\to\:3}(4^{x^{3}}-8x)
limit as x approaches pi-of sin(x)
\lim\:_{x\to\:π-}(\sin(x))
(\partial)/(\partial x)(9-x^2-y^2)
\frac{\partial\:}{\partial\:x}(9-x^{2}-y^{2})
integral of (6x+2)/(3x^2+2x)
\int\:\frac{6x+2}{3x^{2}+2x}dx
integral from 0 to 1 of 1/(sqrt(3-x^2))
\int\:_{0}^{1}\frac{1}{\sqrt{3-x^{2}}}dx
integral of (x^6)/((4-x^7)^2)
\int\:\frac{x^{6}}{(4-x^{7})^{2}}dx
derivative of 7sec(xtan(x))
\frac{d}{dx}(7\sec(x)\tan(x))
integral from 2 to 4 of e^{3x-y}
\int\:_{2}^{4}e^{3x-y}dy
derivative of (3^{2/3}-x^{2/3}^{3/2})
\frac{d}{dx}((3^{\frac{2}{3}}-x^{\frac{2}{3}})^{\frac{3}{2}})
limit as x approaches 0 of (5x^2)/2
\lim\:_{x\to\:0}(\frac{5x^{2}}{2})
y^'+1/t y= 1/(t^2)
y^{\prime\:}+\frac{1}{t}y=\frac{1}{t^{2}}
f(x)=x^2cos(x)
f(x)=x^{2}\cos(x)
integral of e^{(-x/4)}
\int\:e^{(-\frac{x}{4})}dx
derivative of x^2+x-8
derivative\:x^{2}+x-8
integral of 7xarcsin(x)
\int\:7x\arcsin(x)dx
limit as x approaches 0 of 9/x-9/(|x|)
\lim\:_{x\to\:0}(\frac{9}{x}-\frac{9}{\left|x\right|})
integral of ((sin(ln(x))))/x
\int\:\frac{(\sin(\ln(x)))}{x}dx
4y^{''}+4y^'-3y=cos(2x)
4y^{\prime\:\prime\:}+4y^{\prime\:}-3y=\cos(2x)
integral from 2 to 3 of (26)/(sqrt(3-x))
\int\:_{2}^{3}\frac{26}{\sqrt{3-x}}dx
derivative of f(x)=(e^x)/(8x^2+3)
derivative\:f(x)=\frac{e^{x}}{8x^{2}+3}
sum from n=1 to infinity of (4^n)/(6^n)
\sum\:_{n=1}^{\infty\:}\frac{4^{n}}{6^{n}}
integral of (((x)^2-5)^52x)
\int\:(((x)^{2}-5)^{5}2x)dx
limit as x approaches-1+of ln|x+1|
\lim\:_{x\to\:-1+}(\ln\left|x+1\right|)
derivative of x^2e^{(-x/(10)})
\frac{d}{dx}(x^{2}e^{\frac{-x}{10}})
tangent of f(x)= x/(x^2-15),\at x=4
tangent\:f(x)=\frac{x}{x^{2}-15},\at\:x=4
y^{''}+25y^'=0
y^{\prime\:\prime\:}+25y^{\prime\:}=0
derivative of f(x)=7e^{x^2-5x+6}
derivative\:f(x)=7e^{x^{2}-5x+6}
integral of (10x+4)sqrt(5x^2+4x)
\int\:(10x+4)\sqrt{5x^{2}+4x}dx
limit as x approaches 1 of sqrt(1-x)
\lim\:_{x\to\:1}(\sqrt{1-x})
simplify 1/2 \sqrt[3]{x}
simplify\:\frac{1}{2}\sqrt[3]{x}
y^{''}+16y=csc^2(4t)
y^{\prime\:\prime\:}+16y=\csc^{2}(4t)
integral from 1 to 9 of 2/(x^3)
\int\:_{1}^{9}\frac{2}{x^{3}}dx
integral of-2e^{3x}+5/x
\int\:-2e^{3x}+\frac{5}{x}dx
limit as x approaches 0 of 18+(20)/(x^3)
\lim\:_{x\to\:0}(18+\frac{20}{x^{3}})
integral of 1/((4x+3)^2)
\int\:\frac{1}{(4x+3)^{2}}dx
integral of-xsin(z)
\int\:-x\sin(z)dz
integral of (2+x+x^2+3x^3)
\int\:(2+x+x^{2}+3x^{3})dx
derivative of (x+5/(x-3))
\frac{d}{dx}(\frac{x+5}{x-3})
d/(dy)(y^{4/5})
\frac{d}{dy}(y^{\frac{4}{5}})
y^'=y(xy^4+5)
y^{\prime\:}=y(xy^{4}+5)
integral from 1 to 7 of (x^2-4x-12)
\int\:_{1}^{7}(x^{2}-4x-12)dx
derivative of {f}(x(x)^{-1}(x^2))
\frac{d}{dx}({f}(x)(x)^{-1}(x^{2}))
integral from 0 to 1 of pi(5x^2)^2
\int\:_{0}^{1}π(5x^{2})^{2}dx
integral of x-csc(x)cot(x)
\int\:x-\csc(x)\cot(x)dx
integral of (sin(7x))
\int\:(\sin(7x))dx
derivative of 1/2 ln(2x)
\frac{d}{dx}(\frac{1}{2}\ln(2x))
(dy)/(dt)=(15-(3y)/(360-2t))
\frac{dy}{dt}=(15-\frac{3y}{360-2t})
(\partial)/(\partial v)(ucos(v))
\frac{\partial\:}{\partial\:v}(u\cos(v))
integral from-pi to 2pi of cos^2(x)
\int\:_{-π}^{2π}\cos^{2}(x)dx
limit as x approaches 0 of e^{1/x ln(1+x^2)}
\lim\:_{x\to\:0}(e^{\frac{1}{x}\ln(1+x^{2})})
(\partial)/(\partial x)(ln(x/(x+2)))
\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{x+2}))
integral of (3x^2-2)/(x^2-2x-8)
\int\:\frac{3x^{2}-2}{x^{2}-2x-8}dx
integral of (y-4)^2
\int\:(y-4)^{2}dy
derivative of (x^2/(x-6))
\frac{d}{dx}(\frac{x^{2}}{x-6})
(\partial)/(\partial x)((xy)/(sqrt(1+xy^2)))
\frac{\partial\:}{\partial\:x}(\frac{xy}{\sqrt{1+xy^{2}}})
derivative of ae^{2x}+be^x
\frac{d}{dx}(ae^{2x}+be^{x})
(\partial)/(\partial z)(e^xsin(yz))
\frac{\partial\:}{\partial\:z}(e^{x}\sin(yz))
integral of 10sin^3(x)cos^7(x)
\int\:10\sin^{3}(x)\cos^{7}(x)dx
(\partial)/(\partial x)(y^2-e^{xy})
\frac{\partial\:}{\partial\:x}(y^{2}-e^{xy})
inverse oflaplace s/(s^4+1)
inverselaplace\:\frac{s}{s^{4}+1}
derivative of y/x
derivative\:\frac{y}{x}
((100)/(log_{10)(2x+1)})^'
(\frac{100}{\log_{10}(2x+1)})^{\prime\:}
f(x)=x^3e^{2x}
f(x)=x^{3}e^{2x}
limit as x approaches 1 of x^{3/(1-x)}
\lim\:_{x\to\:1}(x^{\frac{3}{1-x}})
y^{''}-5y^'-6y=0,y(0)=5,y^'(0)=12
y^{\prime\:\prime\:}-5y^{\prime\:}-6y=0,y(0)=5,y^{\prime\:}(0)=12
integral of 1/(10x^{1/2)-x}
\int\:\frac{1}{10x^{\frac{1}{2}}-x}dx
integral of 1/((1-x)^2)
\int\:\frac{1}{(1-x)^{2}}dx
integral of (3y^2-t^2)/(y^5)
\int\:\frac{3y^{2}-t^{2}}{y^{5}}dy
derivative of ln(9x^2)
\frac{d}{dx}(\ln(9)x^{2})
limit as x approaches-8-of (-5x)/(x+8)
\lim\:_{x\to\:-8-}(\frac{-5x}{x+8})
integral from 3 to 9 of (1+x^2)
\int\:_{3}^{9}(1+x^{2})dx
integral of (24)/((x-2)(x^2+4))
\int\:\frac{24}{(x-2)(x^{2}+4)}dx
integral from 0 to 1 of (x^2)/(x^3-1)
\int\:_{0}^{1}\frac{x^{2}}{x^{3}-1}dx
derivative of y=e^{5x}
derivative\:y=e^{5x}
maclaurin ln(cos(x))
maclaurin\:\ln(\cos(x))
limit as x approaches 2 of x^2-5x+6
\lim\:_{x\to\:2}(x^{2}-5x+6)
derivative of (7x^2-12x)e^x
derivative\:(7x^{2}-12x)e^{x}
derivative of x^3(4-x)
\frac{d}{dx}(x^{3}(4-x))
sum from n=0 to infinity of 4/(n(n+2))
\sum\:_{n=0}^{\infty\:}\frac{4}{n(n+2)}
sum from n=0 to infinity of ((5^n))/(n!)
\sum\:_{n=0}^{\infty\:}\frac{(5^{n})}{n!}
derivative of tan^2(θ)
derivative\:\tan^{2}(θ)
integral of (w^2)/((w^2+7)^2)
\int\:\frac{w^{2}}{(w^{2}+7)^{2}}dw
y^'=-(2x)/y ,y(1)=10
y^{\prime\:}=-\frac{2x}{y},y(1)=10
limit as x approaches 8 of x^{-1}
\lim\:_{x\to\:8}(x^{-1})
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