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Popular Calculus Problems
derivative of e^x-4
\frac{d}{dx}(e^{x}-4)
integral of (x^2+2x+5)/((x+1)(x^2+1))
\int\:\frac{x^{2}+2x+5}{(x+1)(x^{2}+1)}dx
integral from 0 to 1 of (12)/(x^2-4)
\int\:_{0}^{1}\frac{12}{x^{2}-4}dx
area (64)/(16+x^2),1
area\:\frac{64}{16+x^{2}},1
(\partial)/(\partial x)(e^{3x}cos(5y))
\frac{\partial\:}{\partial\:x}(e^{3x}\cos(5y))
inverse oflaplace 1/(t^2)
inverselaplace\:\frac{1}{t^{2}}
integral of (3x^2-8x+13)/((x+3)(x-1)^2)
\int\:\frac{3x^{2}-8x+13}{(x+3)(x-1)^{2}}dx
(\partial)/(\partial y)(4x^2+3cos(y))
\frac{\partial\:}{\partial\:y}(4x^{2}+3\cos(y))
derivative of x^2+4/x
\frac{d}{dx}(x^{2}+\frac{4}{x})
(\partial)/(\partial x)(ln(3x+3cy))
\frac{\partial\:}{\partial\:x}(\ln(3x+3cy))
derivative of cos(5pix)
derivative\:\cos(5πx)
derivative of (5-x^2)/(5+x^2)
derivative\:\frac{5-x^{2}}{5+x^{2}}
implicit (dy)/(dx),arctan(xy)=arcsin(4x+4y),(0,0)
implicit\:\frac{dy}{dx},\arctan(xy)=\arcsin(4x+4y),(0,0)
laplacetransform e^{7t}sin^2(t)
laplacetransform\:e^{7t}\sin^{2}(t)
integral of ((x-3))/(x^3+x^2)
\int\:\frac{(x-3)}{x^{3}+x^{2}}dx
integral of 1/(x^2-36)
\int\:\frac{1}{x^{2}-36}dx
derivative of ((x^2+2x+1)/((x^2-2x+1)))
\frac{d}{dx}(\frac{(x^{2}+2x+1)}{(x^{2}-2x+1)})
y^'=-a*y^2
y^{\prime\:}=-a\cdot\:y^{2}
d/(dt)(t^9e^t)
\frac{d}{dt}(t^{9}e^{t})
4^'
4^{\prime\:}
integral of 8/(xsqrt(64-(ln(x))^2))
\int\:\frac{8}{x\sqrt{64-(\ln(x))^{2}}}dx
integral of sec^6(5x)tan(5x)
\int\:\sec^{6}(5x)\tan(5x)dx
(sqrt(1-x^2))^'
(\sqrt{1-x^{2}})^{\prime\:}
y^'+xy+4=0
y^{\prime\:}+xy+4=0
integral of 1/(sqrt(x^2-36))
\int\:\frac{1}{\sqrt{x^{2}-36}}dx
derivative of {f}(h,x({g}(h,x)(h(x))))
\frac{d}{dx}({f}(h,x)({g}(h,x)(h(x))))
integral of (cos(2x))/(cos(x)-sin(x))
\int\:\frac{\cos(2x)}{\cos(x)-\sin(x)}dx
derivative of 5cos^{-4}(x)
\frac{d}{dx}(5\cos^{-4}(x))
integral of (e^{2x})/(e^{2x)-1}
\int\:\frac{e^{2x}}{e^{2x}-1}dx
derivative of sin(x+pi)
\frac{d}{dx}(\sin(x+π))
maclaurin x^2e^x
maclaurin\:x^{2}e^{x}
sum from n=0 to infinity of tan(n)
\sum\:_{n=0}^{\infty\:}\tan(n)
integral of (csc^2(2x))/(cot^5(2x))
\int\:\frac{\csc^{2}(2x)}{\cot^{5}(2x)}dx
limit as x approaches 1 of (8x+1)/(x+3)
\lim\:_{x\to\:1}(\frac{8x+1}{x+3})
slope ofintercept (-3,2),(-1,-1)
slopeintercept\:(-3,2),(-1,-1)
derivative of xsqrt(x^2+9)
derivative\:x\sqrt{x^{2}+9}
y^{''}+2y^'+10y=0,y(0)=3,y^'(0)=-1
y^{\prime\:\prime\:}+2y^{\prime\:}+10y=0,y(0)=3,y^{\prime\:}(0)=-1
derivative of (e^{6x}/x)
\frac{d}{dx}(\frac{e^{6x}}{x})
limit as x approaches 3 of x+3
\lim\:_{x\to\:3}(x+3)
derivative of-(18)/(x^3)
derivative\:-\frac{18}{x^{3}}
(dy)/(dx)=(xy+y^2+x^2)/(x^2)
\frac{dy}{dx}=\frac{xy+y^{2}+x^{2}}{x^{2}}
integral from-1 to 3 of |x-2x^2|
\int\:_{-1}^{3}\left|x-2x^{2}\right|dx
(dy}{dx}=\frac{x^3-2y)/x
\frac{dy}{dx}=\frac{x^{3}-2y}{x}
integral of ((3x+2))/(sqrt(19-5x+x^2))
\int\:\frac{(3x+2)}{\sqrt{19-5x+x^{2}}}dx
derivative of x^3-4x^2
derivative\:x^{3}-4x^{2}
y^'=-ay^2+b
y^{\prime\:}=-ay^{2}+b
derivative of tan(1+e^{2x})
\frac{d}{dx}(\tan(1+e^{2x}))
derivative of-2log_{e}(x)+x^2-4+e^x+x^e
derivative\:-2\log_{e}(x)+x^{2}-4+e^{x}+x^{e}
integral of 2csc^4(x)cot^6(x)
\int\:2\csc^{4}(x)\cot^{6}(x)dx
limit as x approaches-2 of 7-2x
\lim\:_{x\to\:-2}(7-2x)
integral of-2xe^{x^2}
\int\:-2xe^{x^{2}}dx
derivative of 2/(ln(10x^3))
\frac{d}{dx}(\frac{2}{\ln(10)x^{3}})
integral from 4 to 7 of 1/(sqrt(x^2-16))
\int\:_{4}^{7}\frac{1}{\sqrt{x^{2}-16}}dx
derivative of sqrt(2)x
\frac{d}{dx}(\sqrt{2}x)
tangent of f(x)=x^2-2x-6,\at x=-2
tangent\:f(x)=x^{2}-2x-6,\at\:x=-2
limit as x approaches 8 of 4/(x-8)
\lim\:_{x\to\:8}(\frac{4}{x-8})
derivative of (-2(-3x^2+1)/((1+x^2)^3))
\frac{d}{dx}(\frac{-2(-3x^{2}+1)}{(1+x^{2})^{3}})
integral of x^4(x^5+1)^{18}
\int\:x^{4}(x^{5}+1)^{18}dx
(\partial)/(\partial x)(x^3y^2)
\frac{\partial\:}{\partial\:x}(x^{3}y^{2})
integral of 7xe^{-x^2}
\int\:7xe^{-x^{2}}dx
derivative of y=ln(ln(2x))
derivative\:y=\ln(\ln(2x))
d/(dt)(sin(wt))
\frac{d}{dt}(\sin(wt))
inverse oflaplace 1/(s^3+6s)
inverselaplace\:\frac{1}{s^{3}+6s}
(dy)/(dx)=(xy+x^2e^{y/x})/(x^2)
\frac{dy}{dx}=\frac{xy+x^{2}e^{\frac{y}{x}}}{x^{2}}
integral of-20
\int\:-20
2y^'+y=(e^{2x})/2
2y^{\prime\:}+y=\frac{e^{2x}}{2}
x^2y^'=y-xy,y(-1)=-1
x^{2}y^{\prime\:}=y-xy,y(-1)=-1
integral of x(x-1)^2
\int\:x(x-1)^{2}dx
limit as x approaches 0 of 7x+3
\lim\:_{x\to\:0}(7x+3)
sum from n=1 to infinity of (n/(n+1))^n
\sum\:_{n=1}^{\infty\:}(\frac{n}{n+1})^{n}
integral of 6sin^2(x)cos^3(x)
\int\:6\sin^{2}(x)\cos^{3}(x)dx
integral of 1/(sqrt(-t^2+4t+5))
\int\:\frac{1}{\sqrt{-t^{2}+4t+5}}dt
integral of 1/(sqrt(5-x))
\int\:\frac{1}{\sqrt{5-x}}dx
integral of sqrt(256-x^2)
\int\:\sqrt{256-x^{2}}dx
integral of (2x)/(2x^2+1)
\int\:\frac{2x}{2x^{2}+1}dx
tangent of 2x(x^2-4x+5)^8,\at x=2
tangent\:2x(x^{2}-4x+5)^{8},\at\:x=2
y^{''}+3y^'+2y=12t^3
y^{\prime\:\prime\:}+3y^{\prime\:}+2y=12t^{3}
(2/(x^3))^'
(\frac{2}{x^{3}})^{\prime\:}
integral of x/((x^2+1)^{15/2)}
\int\:\frac{x}{(x^{2}+1)^{\frac{15}{2}}}dx
(\partial)/(\partial x)(x^2-6xy)
\frac{\partial\:}{\partial\:x}(x^{2}-6xy)
derivative of cot^5(x)
derivative\:\cot^{5}(x)
derivative of f(x)=sqrt(x)sin(x)
derivative\:f(x)=\sqrt{x}\sin(x)
y^{''}+1/4 y^'+2y=2cos(4123t)
y^{\prime\:\prime\:}+\frac{1}{4}y^{\prime\:}+2y=2\cos(4123t)
integral of (sqrt(1-4x^2))/x
\int\:\frac{\sqrt{1-4x^{2}}}{x}dx
derivative of (2x^2+2x+6/(sqrt(x)))
\frac{d}{dx}(\frac{2x^{2}+2x+6}{\sqrt{x}})
derivative of 2/(3t^2)
derivative\:\frac{2}{3t^{2}}
integral of 1/2 x^4
\int\:\frac{1}{2}x^{4}dx
derivative of (440t)/((t^2+6)^3)
derivative\:\frac{440t}{(t^{2}+6)^{3}}
tangent of (7x)/(x+4)(3.3)
tangent\:\frac{7x}{x+4}(3.3)
maclaurin sin(9x)
maclaurin\:\sin(9x)
derivative of sqrt(x+1)-sqrt(x)
\frac{d}{dx}(\sqrt{x+1}-\sqrt{x})
d/(dθ)(3tan(θ))
\frac{d}{dθ}(3\tan(θ))
sum from n=1 to infinity}a^{n-1 of*n
\sum\:_{n=1}^{\infty\:}a^{n-1}\cdot\:n
integral of sin(x+5)
\int\:\sin(x+5)dx
integral of 3x^2-2x+5
\int\:3x^{2}-2x+5dx
integral of kt
\int\:ktdt
limit as x approaches 0 of (e^x)/(x^2-x)
\lim\:_{x\to\:0}(\frac{e^{x}}{x^{2}-x})
integral of ((x-1))/(sqrt(x))
\int\:\frac{(x-1)}{\sqrt{x}}dx
derivative of ln(x+sqrt(3+x^2))
\frac{d}{dx}(\ln(x+\sqrt{3+x^{2}}))
limit as x approaches 0 of ((x^3+3x))/x
\lim\:_{x\to\:0}(\frac{(x^{3}+3x)}{x})
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