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Popular Calculus Problems
integral from 0 to 1 of (18)/(4y-1)
\int\:_{0}^{1}\frac{18}{4y-1}dy
tangent of f(x)= 7/x ,\at x=4
tangent\:f(x)=\frac{7}{x},\at\:x=4
f(x)=ln(cos^2(x))
f(x)=\ln(\cos^{2}(x))
limit as x approaches 0 of (e^x+x)^{4/x}
\lim\:_{x\to\:0}((e^{x}+x)^{\frac{4}{x}})
integral of 1+x^2
\int\:1+x^{2}dx
sum from n=1 to infinity of 1/((n(n+8)))
\sum\:_{n=1}^{\infty\:}\frac{1}{(n(n+8))}
derivative of e^{-6x^5}
\frac{d}{dx}(e^{-6x^{5}})
tangent of f(x)=x^2-7
tangent\:f(x)=x^{2}-7
integral of 5/((x+1)(x^2+4))
\int\:\frac{5}{(x+1)(x^{2}+4)}dx
integral of t^2sqrt(1+t^2)
\int\:t^{2}\sqrt{1+t^{2}}dt
derivative of-x^2+9
\frac{d}{dx}(-x^{2}+9)
derivative of (7e^x)/((7+e^x)^2)
derivative\:\frac{7e^{x}}{(7+e^{x})^{2}}
d/(dt)(t^r)
\frac{d}{dt}(t^{r})
integral of 1/(sqrt(x^2+10))
\int\:\frac{1}{\sqrt{x^{2}+10}}dx
integral of 2/(sqrt(-x^2+5))
\int\:\frac{2}{\sqrt{-x^{2}+5}}dx
inverse oflaplace s/(s^2+2s+4)
inverselaplace\:\frac{s}{s^{2}+2s+4}
integral of+ln(x)
\int\:+\ln(x)dx
(dy)/(dx)= 1/x (y^2+0.6y),y(1)=0.9
\frac{dy}{dx}=\frac{1}{x}(y^{2}+0.6y),y(1)=0.9
limit as x approaches 4 of |x|-3^x
\lim\:_{x\to\:4}(\left|x\right|-3^{x})
integral from 0 to 2pi of x^2sin(nx)
\int\:_{0}^{2π}x^{2}\sin(nx)dx
tangent of 7/(x-2)
tangent\:\frac{7}{x-2}
integral of xin^2x
\int\:xin^{2}xdx
integral of (sqrt(x^2-81))/(x^3)
\int\:\frac{\sqrt{x^{2}-81}}{x^{3}}dx
integral of+x/(3x^2+1)
\int\:+\frac{x}{3x^{2}+1}dx
derivative of (2x^3+5^{10})
\frac{d}{dx}((2x^{3}+5)^{10})
integral of sec(x)
\int\:\sec(x)dx
derivative of (e^x/x+ln(x))
\frac{d}{dx}(\frac{e^{x}}{x}+\ln(x))
integral of u/(1-u^2)
\int\:\frac{u}{1-u^{2}}du
derivative of (csc^3(x)/(ln(x^2)))
\frac{d}{dx}(\frac{\csc^{3}(x)}{\ln(x^{2})})
(\partial)/(\partial x)(y^2sin(4x))
\frac{\partial\:}{\partial\:x}(y^{2}\sin(4x))
derivative of 2ln(4x)
\frac{d}{dx}(2\ln(4x))
derivative of rx+s
\frac{d}{dx}(rx+s)
integral of (2x+3)^{-1}
\int\:(2x+3)^{-1}dx
d/(ds)((s-sqrt(s))/(s^2))
\frac{d}{ds}(\frac{s-\sqrt{s}}{s^{2}})
derivative of sqrt(3-2x)
derivative\:\sqrt{3-2x}
derivative of (2x+1^3e^{-(1-x)^4})
\frac{d}{dx}((2x+1)^{3}e^{-(1-x)^{4}})
f(x)= 1/(x+6)
f(x)=\frac{1}{x+6}
d/(dv)(1/v)
\frac{d}{dv}(\frac{1}{v})
2y^'-y=4
2y^{\prime\:}-y=4
derivative of (sqrt(x)/3)
\frac{d}{dx}(\frac{\sqrt{x}}{3})
limit as x approaches 0 of (9^x-2^x)/x
\lim\:_{x\to\:0}(\frac{9^{x}-2^{x}}{x})
derivative of 7(x^3-x)
\frac{d}{dx}(7(x^{3})-x)
integral from 1 to 1.5 of cos((pix)/3)
\int\:_{1}^{1.5}\cos(\frac{πx}{3})dx
(\partial)/(\partial y)(2e^y+3sin(y))
\frac{\partial\:}{\partial\:y}(2e^{y}+3\sin(y))
tangent of x^2,\at x=1
tangent\:x^{2},\at\:x=1
(\partial)/(\partial x)(1/(r^2))
\frac{\partial\:}{\partial\:x}(\frac{1}{r^{2}})
integral of 3/(e^{5x)}
\int\:\frac{3}{e^{5x}}dx
derivative of f(x)=csc^2(x)
derivative\:f(x)=\csc^{2}(x)
integral of 1/(1-x)
\int\:\frac{1}{1-x}dx
derivative of-2csc(x+4cot(x))
\frac{d}{dx}(-2\csc(x)+4\cot(x))
integral of (x^2+2x)^2
\int\:(x^{2}+2x)^{2}dx
(dP)/(dt)=k*P
\frac{dP}{dt}=k\cdot\:P
(xy-1)dx+(x^2-xy)dy=0
(xy-1)dx+(x^{2}-xy)dy=0
(dy)/(dx)=y(10-y)
\frac{dy}{dx}=y(10-y)
derivative of 8sin(x-8xcos(x))
\frac{d}{dx}(8\sin(x)-8x\cos(x))
derivative of f(4)=4x^{5/4}+4x^{3/2}+5x
derivative\:f(4)=4x^{\frac{5}{4}}+4x^{\frac{3}{2}}+5x
derivative of ln(9x)
derivative\:\ln(9x)
tangent of f(x)=sqrt(x-1),(5,2)
tangent\:f(x)=\sqrt{x-1},(5,2)
sum from n=0 to infinity of (n^2)/(3^n)
\sum\:_{n=0}^{\infty\:}\frac{n^{2}}{3^{n}}
taylor e^x+1
taylor\:e^{x}+1
integral of 9x^{-4}
\int\:9x^{-4}dx
integral of (3x+8)/((x+4)^2)
\int\:\frac{3x+8}{(x+4)^{2}}dx
derivative of (25)/(x^2)-5/x
derivative\:\frac{25}{x^{2}}-\frac{5}{x}
integral of (48x^2)/((x-12)(x+4)^2)
\int\:\frac{48x^{2}}{(x-12)(x+4)^{2}}dx
tangent of x^1arctan(x)=e^y
tangent\:x^{1}\arctan(x)=e^{y}
derivative of f(x)=2x^3-3x^2-72x+108
derivative\:f(x)=2x^{3}-3x^{2}-72x+108
integral of (csc^2(t)-2e^t)
\int\:(\csc^{2}(t)-2e^{t})dt
(\partial)/(\partial x)(2x^2+xe^{xy})
\frac{\partial\:}{\partial\:x}(2x^{2}+xe^{xy})
derivative of \sqrt[4]{x+2}
\frac{d}{dx}(\sqrt[4]{x+2})
(dy}{dt}=(4y)/5-\frac{y^2)/(120)
\frac{dy}{dt}=\frac{4y}{5}-\frac{y^{2}}{120}
slope of (-6,0),(0,1)
slope\:(-6,0),(0,1)
integral from-1 to 1 of sqrt(1+x^2)
\int\:_{-1}^{1}\sqrt{1+x^{2}}dx
integral of tan(x)sec(x)
\int\:\tan(x)\sec(x)dx
derivative of y=arctan(ln(2)x^4)
derivative\:y=\arctan(\ln(2)x^{4})
slope of (-3,4),(4,1)
slope\:(-3,4),(4,1)
integral from-2 to 1 of 1/2 x^2+x+1
\int\:_{-2}^{1}\frac{1}{2}x^{2}+x+1dx
derivative of sqrt(ln(-5x+2x^{-2)})
\frac{d}{dx}(\sqrt{\ln(-5x+2x^{-2})})
derivative of xe^{x^2-y}
\frac{d}{dx}(xe^{x^{2}-y})
derivative of (1+sqrt(t))(2t^2-7)
derivative\:(1+\sqrt{t})(2t^{2}-7)
integral of 4/(sqrt(1-x^2))
\int\:\frac{4}{\sqrt{1-x^{2}}}dx
y^'=(xy^2+2x)/(y(2x^3+x^2+3))
y^{\prime\:}=\frac{xy^{2}+2x}{y(2x^{3}+x^{2}+3)}
derivative of sin(3ln(x))
derivative\:\sin(3\ln(x))
limit as x approaches 1 of 2x^3-4x^2+x+3
\lim\:_{x\to\:1}(2x^{3}-4x^{2}+x+3)
(\partial)/(\partial x)(3ln(x+y)-3x)
\frac{\partial\:}{\partial\:x}(3\ln(x+y)-3x)
sum from n=0 to infinity of (ln(n))/(5n)
\sum\:_{n=0}^{\infty\:}\frac{\ln(n)}{5n}
derivative of pit+cos((4pit+pi)/2)
derivative\:πt+\cos(\frac{4πt+π}{2})
laplacetransform sin(3t-1/2)
laplacetransform\:\sin(3t-\frac{1}{2})
limit as x approaches 0 of (sin^4(x))/x
\lim\:_{x\to\:0}(\frac{\sin^{4}(x)}{x})
derivative of sqrt(2500-x^2)
\frac{d}{dx}(\sqrt{2500-x^{2}})
integral from 0 to 1 of t^2e^{-2t}
\int\:_{0}^{1}t^{2}e^{-2t}dt
integral of (e^x)/((e^x-6)(e^{2x)+1)}
\int\:\frac{e^{x}}{(e^{x}-6)(e^{2x}+1)}dx
f(x)=(1-ln(x))/(x^2)
f(x)=\frac{1-\ln(x)}{x^{2}}
derivative of f(x)= x/(x+17)
derivative\:f(x)=\frac{x}{x+17}
integral of 3x-2sqrt(x)
\int\:3x-2\sqrt{x}dx
(\partial)/(\partial y)(ye^{xy})
\frac{\partial\:}{\partial\:y}(ye^{xy})
derivative of {f}(x{g}(x)h(x))
\frac{d}{dx}({f}(x){g}(x)h(x))
limit as x approaches 0 of sin(1)
\lim\:_{x\to\:0}(\sin(1))
integral of sqrt(1+(x-1)^{1/2)}
\int\:\sqrt{1+(x-1)^{\frac{1}{2}}}dx
slope of (-1,6),(2,-3)
slope\:(-1,6),(2,-3)
tangent of x^4-4x^3+8
tangent\:x^{4}-4x^{3}+8
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