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Popular Calculus Problems
derivative of (2x+1^5(x^3-x+1)^4)
\frac{d}{dx}((2x+1)^{5}(x^{3}-x+1)^{4})
integral of sqrt(2-2cos(x))
\int\:\sqrt{2-2\cos(x)}dx
4x^{5/4}+2x^{3/2}+4x
4x^{\frac{5}{4}}+2x^{\frac{3}{2}}+4x
derivative of 3/(z^2)
derivative\:\frac{3}{z^{2}}
integral of (2x-1)/(5x^2-x+3)
\int\:\frac{2x-1}{5x^{2}-x+3}dx
integral of (e^{4x})/(e^x)
\int\:\frac{e^{4x}}{e^{x}}dx
integral of (5t^3-2t^5)/(3t^2)
\int\:\frac{5t^{3}-2t^{5}}{3t^{2}}dt
derivative of (-3cos(2x-sin(3x)-4)^2)
\frac{d}{dx}((-3\cos(2x)-\sin(3x)-4)^{2})
integral of x^{19}Inx
\int\:x^{19}Inxdx
integral of 5/(sqrt(11-11x^2))
\int\:\frac{5}{\sqrt{11-11x^{2}}}dx
y^'+3y=2t
y^{\prime\:}+3y=2t
integral of sec(z)
\int\:\sec(z)dz
derivative of xe^{x-y}
\frac{d}{dx}(xe^{x-y})
derivative of csc^2(x-5)
\frac{d}{dx}(\csc^{2}(x)-5)
integral of ((8+5x))/(1+x^2)
\int\:\frac{(8+5x)}{1+x^{2}}dx
derivative of [x+(x+sin^2(x)^6]^3)
\frac{d}{dx}([x+(x+\sin^{2}(x))^{6}]^{3})
(\partial)/(\partial y)(xe^{xy+1})
\frac{\partial\:}{\partial\:y}(xe^{xy+1})
integral from-1 to x^3 of sqrt(2+t^2)
\int\:_{-1}^{x^{3}}\sqrt{2+t^{2}}dt
(x^2+1)y^'+6x(y-1)=0,y(0)=9
(x^{2}+1)y^{\prime\:}+6x(y-1)=0,y(0)=9
taylor (x-1)ln(x),1
taylor\:(x-1)\ln(x),1
(\partial)/(\partial x)(sin(x))
\frac{\partial\:}{\partial\:x}(\sin(x))
limit as x approaches 0 of ((3e^x-3))/t
\lim\:_{x\to\:0}(\frac{(3e^{x}-3)}{t})
integral of sqrt(x^2+3/4)
\int\:\sqrt{x^{2}+\frac{3}{4}}dx
integral of ysin(y^2)
\int\:y\sin(y^{2})dy
integral of (24x)/(\sqrt[3]{3x^2-4)}
\int\:\frac{24x}{\sqrt[3]{3x^{2}-4}}dx
integral of 5sin^2(xco)s^2x
\int\:5\sin^{2}(xco)s^{2}xdx
y^{''}+9y=18sin(3t)
y^{\prime\:\prime\:}+9y=18\sin(3t)
limit as x approaches 0+of sin(x^x)
\lim\:_{x\to\:0+}(\sin(x^{x}))
derivative of ((1-ln(x)))/(11x^2)
derivative\:\frac{(1-\ln(x))}{11x^{2}}
integral from-1 to 3 of |x|
\int\:_{-1}^{3}\left|x\right|dx
integral of (6x+6)/(x^2+2x-3)
\int\:\frac{6x+6}{x^{2}+2x-3}dx
integral of 2xycos(xy^2)
\int\:2xy\cos(xy^{2})dy
integral of 1/x 1
\int\:\frac{1}{x}\frac{d}{1}dx
(dy)/(dx)+2/x y=(ln(x))/(3x^6y^2)
\frac{dy}{dx}+\frac{2}{x}y=\frac{\ln(x)}{3x^{6}y^{2}}
derivative of a{r}(xc,x)
\frac{d}{dx}(a{r}(x)c,x)
y^{''}-8y+16=0
y^{\prime\:\prime\:}-8y+16=0
integral from-1 to 2 of x^3-2x
\int\:_{-1}^{2}x^{3}-2xdx
integral of ln(3x+8)
\int\:\ln(3x+8)dx
derivative of 1/(11x^{10/11})
\frac{d}{dx}(\frac{1}{11x^{\frac{10}{11}}})
integral of (x^2+3)e^x
\int\:(x^{2}+3)e^{x}dx
derivative of arccos(2xsqrt(1-x^2))
\frac{d}{dx}(\arccos(2x\sqrt{1-x^{2}}))
(\partial)/(\partial x)(e^{-2t})
\frac{\partial\:}{\partial\:x}(e^{-2t})
integral of (cos(x))/2
\int\:\frac{\cos(x)}{2}dx
slope of (2.5)(3.7)
slope\:(2.5)(3.7)
tangent of y=-2/(x^{1.1)}+9/(x^{-2.8)}
tangent\:y=-\frac{2}{x^{1.1}}+\frac{9}{x^{-2.8}}
integral of 1/(2+3x)
\int\:\frac{1}{2+3x}dx
integral of 4x^2*sin(5x^3)
\int\:4x^{2}\cdot\:\sin(5x^{3})dx
derivative of f(z)=e^{z/((z-5))}
derivative\:f(z)=e^{\frac{z}{(z-5)}}
integral of \sqrt[3]{4x-3}
\int\:\sqrt[3]{4x-3}dx
integral of 11sqrt(tan(x))sec^4(x)
\int\:11\sqrt{\tan(x)}\sec^{4}(x)dx
integral of (sin(e^x))/(e^{-2x)}
\int\:\frac{\sin(e^{x})}{e^{-2x}}dx
integral from 0 to (2pi)/w of cos^2(wt)
\int\:_{0}^{\frac{2π}{w}}\cos^{2}(wt)dt
d/(d{z)}({x}^2+2{y}{z})
\frac{d}{d{z}}({x}^{2}+2{y}{z})
derivative of f(x)=x^3-12x+8
derivative\:f(x)=x^{3}-12x+8
xy^'=sqrt(x^2-y^2)+y
xy^{\prime\:}=\sqrt{x^{2}-y^{2}}+y
(dy)/(dx)+y^2=y
\frac{dy}{dx}+y^{2}=y
integral of 1/(x^2-3x-10)
\int\:\frac{1}{x^{2}-3x-10}dx
derivative of f(x)=sqrt(7)
derivative\:f(x)=\sqrt{7}
derivative of f(x)=-9x
derivative\:f(x)=-9x
integral of (ln^8(x))/x
\int\:\frac{\ln^{8}(x)}{x}dx
derivative of 6x^{-4}+5x^{-2}
derivative\:6x^{-4}+5x^{-2}
integral of ln(e^x)
\int\:\ln(e^{x})dx
integral of (ln(n))/n
\int\:\frac{\ln(n)}{n}
(dy)/(dx)=x*y+x/y
\frac{dy}{dx}=x\cdot\:y+\frac{x}{y}
integral from 1 to 16 of x^{1/2}ln(x)
\int\:_{1}^{16}x^{\frac{1}{2}}\ln(x)dx
derivative of f(x)=x^2+x-6
derivative\:f(x)=x^{2}+x-6
derivative of 5*sin(x)
\frac{d}{dx}(5\cdot\:\sin(x))
(dy)/(dt)=t^2-2
\frac{dy}{dt}=t^{2}-2
integral of e^{ln(x)}x
\int\:e^{\ln(x)}xdx
derivative of f(x)=3x^2+5x+1
derivative\:f(x)=3x^{2}+5x+1
derivative of y= 1/((x^2-3)(x^2+3x+3))
derivative\:y=\frac{1}{(x^{2}-3)(x^{2}+3x+3)}
integral of 8sin^2(x)-2sin(x)-1
\int\:8\sin^{2}(x)-2\sin(x)-1dx
tangent of f(x)= 3/(sqrt(x)),\at x=1
tangent\:f(x)=\frac{3}{\sqrt{x}},\at\:x=1
derivative of f(x)=(3x^2)/(x^3-8)
derivative\:f(x)=\frac{3x^{2}}{x^{3}-8}
derivative of 4x^{10x^3}
derivative\:4x^{10x^{3}}
f(x)=ln(3^{sqrt(2-x^2)})
f(x)=\ln(3^{\sqrt{2-x^{2}}})
integral of (x+4)/(x+2)
\int\:\frac{x+4}{x+2}dx
integral of (5x^3-3x^2-4x+50)
\int\:(5x^{3}-3x^{2}-4x+50)dx
integral of 2x^2-8
\int\:2x^{2}-8dx
tangent of f(x)= 4/(x-3),\at x=1
tangent\:f(x)=\frac{4}{x-3},\at\:x=1
integral from 1 to 4 of sqrt(t)(1+t)
\int\:_{1}^{4}\sqrt{t}(1+t)dt
integral of 1/(sqrt(-x^2-12x))
\int\:\frac{1}{\sqrt{-x^{2}-12x}}dx
derivative of x^2+2y
\frac{d}{dx}(x^{2}+2y)
derivative of (arctan(x)^{1/x})
\frac{d}{dx}((\arctan(x))^{\frac{1}{x}})
derivative of (x^4+4/(x^2))
\frac{d}{dx}(\frac{x^{4}+4}{x^{2}})
integral from 0 to pi of sin^2(nx)
\int\:_{0}^{π}\sin^{2}(nx)dx
integral of 3(3x+9)^7
\int\:3(3x+9)^{7}dx
(\partial)/(\partial x)(6xyz-7xy^2z^3)
\frac{\partial\:}{\partial\:x}(6xyz-7xy^{2}z^{3})
normal of f(x)=log_{2}(2x^2+14),\at x=5
normal\:f(x)=\log_{2}(2x^{2}+14),\at\:x=5
(dx)/(dt)=2+2x+t+tx
\frac{dx}{dt}=2+2x+t+tx
(\partial)/(\partial x)(sqrt(x^3+y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{x^{3}+y^{2}})
(\partial)/(\partial x)((x-2y^2)/(x^2-y^3))
\frac{\partial\:}{\partial\:x}(\frac{x-2y^{2}}{x^{2}-y^{3}})
(\partial)/(\partial x)(1/(x+y))
\frac{\partial\:}{\partial\:x}(\frac{1}{x+y})
laplacetransform e^tsin(2t)
laplacetransform\:e^{t}\sin(2t)
integral of-1/(n^2)cos(nx)
\int\:-\frac{1}{n^{2}}\cos(nx)dx
limit as t approaches infinity+of 1/(4t)
\lim\:_{t\to\:\infty\:+}(\frac{1}{4t})
derivative of a+bcos(x+csin(x))
\frac{d}{dx}(a+b\cos(x)+csin(x))
derivative of 9/(1-x)
\frac{d}{dx}(\frac{9}{1-x})
limit as x approaches 5+of 1/(x-5)
\lim\:_{x\to\:5+}(\frac{1}{x-5})
integral of sec^4(x)tan(x)
\int\:\sec^{4}(x)\tan(x)dx
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