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Popular Calculus Problems
tangent of f(x)=16-7e^x
tangent\:f(x)=16-7e^{x}
integral of sin(a)x
\int\:\sin(a)xdx
inverse oflaplace 1/(s^2+3s+2)
inverselaplace\:\frac{1}{s^{2}+3s+2}
derivative of 4sec(5x)
\frac{d}{dx}(4\sec(5x))
derivative of f(t)=(t^2)/(sqrt(t^3+1))
derivative\:f(t)=\frac{t^{2}}{\sqrt{t^{3}+1}}
derivative of 2arctanh(sqrt(x))
\frac{d}{dx}(2\arctanh(\sqrt{x}))
derivative of (y^{3/2})/3-y^{1/2}
derivative\:\frac{y^{\frac{3}{2}}}{3}-y^{\frac{1}{2}}
f(x)=ln(sinh(x^2))
f(x)=\ln(\sinh(x^{2}))
derivative of e^{2x}-x
\frac{d}{dx}(e^{2x}-x)
(1/(x^4))^'
(\frac{1}{x^{4}})^{\prime\:}
f(x)=arccos(e^{2x})
f(x)=\arccos(e^{2x})
(\partial)/(\partial x)(4-x^4+2x^2-y^2)
\frac{\partial\:}{\partial\:x}(4-x^{4}+2x^{2}-y^{2})
(\partial)/(\partial x)(4x-sqrt(2y^2+z^2))
\frac{\partial\:}{\partial\:x}(4x-\sqrt{2y^{2}+z^{2}})
derivative of 9e^x+4/(\sqrt[3]{x})
\frac{d}{dx}(9e^{x}+\frac{4}{\sqrt[3]{x}})
limit as x approaches 6 of (x-3)/(x-1)
\lim\:_{x\to\:6}(\frac{x-3}{x-1})
(d^3)/(dx^3)((x-1)ln(x))
\frac{d^{3}}{dx^{3}}((x-1)\ln(x))
integral of x(x^3-1)
\int\:x(x^{3}-1)dx
integral of 1/(x^5)
\int\:\frac{1}{x^{5}}dx
integral of (1+x)/(4+2x+x^2)
\int\:\frac{1+x}{4+2x+x^{2}}dx
limit as q approaches-11+of ln(q+11)
\lim\:_{q\to\:-11+}(\ln(q+11))
integral of (sin(ln(8x)))/x
\int\:\frac{\sin(\ln(8x))}{x}dx
(\partial)/(\partial x)(2e^{-2x}+1/3 e^x)
\frac{\partial\:}{\partial\:x}(2e^{-2x}+\frac{1}{3}e^{x})
integral from 0 to 0.07 of 600x
\int\:_{0}^{0.07}600xdx
integral from 0 to pi/6 of tan(2x)
\int\:_{0}^{\frac{π}{6}}\tan(2x)dx
y+sqrt(x^2+y^2)-xy^'=0
y+\sqrt{x^{2}+y^{2}}-xy^{\prime\:}=0
derivative of f(x)=2e^xcos(x)
derivative\:f(x)=2e^{x}\cos(x)
derivative of e^{8e^x}
derivative\:e^{8e^{x}}
integral from 5 to infinity of xe^{-3x}
\int\:_{5}^{\infty\:}xe^{-3x}dx
integral from 0 to 8 of sqrt(x+1)
\int\:_{0}^{8}\sqrt{x+1}dx
integral of e^{20t}6sin(2t)
\int\:e^{20t}6\sin(2t)dt
(dx)/(dt)+0.1x=10
\frac{dx}{dt}+0.1x=10
integral of (6s^2-2)/(s^3)
\int\:\frac{6s^{2}-2}{s^{3}}ds
taylor 1/(2x+5)
taylor\:\frac{1}{2x+5}
derivative of 2x^2-3x+5
derivative\:2x^{2}-3x+5
f(x)=(sin(5x))/(3x)
f(x)=\frac{\sin(5x)}{3x}
integral of sqrt(16x^5)
\int\:\sqrt{16x^{5}}dx
integral of (8x(x^7-1/8))
\int\:(8x(x^{7}-\frac{1}{8}))dx
integral of ye^{-x}
\int\:ye^{-x}dx
tangent of f(x)=(x+1)(6x^2-6x-12)
tangent\:f(x)=(x+1)(6x^{2}-6x-12)
integral of tan^4(θ)
\int\:\tan^{4}(θ)dθ
integral of ((x^2+x+1))/((2x+1)(x^2+1))
\int\:\frac{(x^{2}+x+1)}{(2x+1)(x^{2}+1)}dx
integral of 7x-3
\int\:7x-3dx
integral of (sin(x)sqrt(1+cos(x)))
\int\:(\sin(x)\sqrt{1+\cos(x)})dx
derivative of ln(sec^3(x^4-1))
\frac{d}{dx}(\ln(\sec^{3}(x^{4}-1)))
taylor x^3
taylor\:x^{3}
sum from n=0 to infinity of cos^2(n)
\sum\:_{n=0}^{\infty\:}\cos^{2}(n)
derivative of x/a+a/x
\frac{d}{dx}(\frac{x}{a}+\frac{a}{x})
(\partial)/(\partial x)(2x^{1/2})
\frac{\partial\:}{\partial\:x}(2x^{\frac{1}{2}})
d/(dy)(4y^3)
\frac{d}{dy}(4y^{3})
integral from 0 to 9 of (2x^3+1)
\int\:_{0}^{9}(2x^{3}+1)dx
derivative of 3x^2-1
\frac{d}{dx}(3x^{2}-1)
integral of sin(8x)\sqrt[3]{cos(8x)}
\int\:\sin(8x)\sqrt[3]{\cos(8x)}dx
integral of (x^2+1)^{-1}
\int\:(x^{2}+1)^{-1}dx
derivative of f(x)=4^x-x^2+3ln(x)
derivative\:f(x)=4^{x}-x^{2}+3\ln(x)
derivative of (40t^2)/(t^2+150)
derivative\:\frac{40t^{2}}{t^{2}+150}
limit as x approaches 0+of 3/x-2/(ln(x))
\lim\:_{x\to\:0+}(\frac{3}{x}-\frac{2}{\ln(x)})
integral of (-1)/(x^3)
\int\:\frac{-1}{x^{3}}dx
integral from-2 to 2 of 1/(x^2)
\int\:_{-2}^{2}\frac{1}{x^{2}}dx
integral of 2e^x+2x-1
\int\:2e^{x}+2x-1dx
(x^2y^3-1/(1+9x^2))dx+x^3y^2dy=0
(x^{2}y^{3}-\frac{1}{1+9x^{2}})dx+x^{3}y^{2}dy=0
(\partial)/(\partial y)(ln(x^4+y)-z)
\frac{\partial\:}{\partial\:y}(\ln(x^{4}+y)-z)
derivative of (16)/((x^2y^2))
derivative\:\frac{16}{(x^{2}y^{2})}
d/(dy)(ln(x-2y))
\frac{d}{dy}(\ln(x-2y))
d/(d{r)}(pi{r}^2)
\frac{d}{d{r}}(π{r}^{2})
derivative of xsin^2(2x)
derivative\:x\sin^{2}(2x)
derivative of 7^{x^4+2}
\frac{d}{dx}(7^{x^{4}+2})
derivative of ln(ln(9x))
\frac{d}{dx}(\ln(\ln(9x)))
integral from 0 to 9 of 2piy(3-y/3)
\int\:_{0}^{9}2πy(3-\frac{y}{3})dy
derivative of-(5e^{5/x}/(x^2))
\frac{d}{dx}(-\frac{5e^{\frac{5}{x}}}{x^{2}})
(\partial)/(\partial x)(30-(x^2+y^2))
\frac{\partial\:}{\partial\:x}(30-(x^{2}+y^{2}))
integral of sin^5(11x)
\int\:\sin^{5}(11x)dx
integral of ([sin(x)]^2x+[cos(x)]^2x)
\int\:([\sin(x)]^{2}x+[\cos(x)]^{2}x)dx
integral of ((1+x)^3)/(sqrt(x))
\int\:\frac{(1+x)^{3}}{\sqrt{x}}dx
integral from 1 to infinity of 1/(4+x^2)
\int\:_{1}^{\infty\:}\frac{1}{4+x^{2}}dx
derivative of (2x-1^3(3x+2)^4)
\frac{d}{dx}((2x-1)^{3}(3x+2)^{4})
(dy)/(dx)=tan(x)
\frac{dy}{dx}=\tan(x)
sum from n=0 to infinity of x^{(1+n)}
\sum\:_{n=0}^{\infty\:}x^{(1+n)}
integral from-1 to 0 of-5x(3x^2-2)^3
\int\:_{-1}^{0}-5x(3x^{2}-2)^{3}dx
(dP)/(dt)=P(10^{-1}-10^{-7}P),P(0)=7000
\frac{dP}{dt}=P(10^{-1}-10^{-7}P),P(0)=7000
integral of (sqrt(25-x^2))
\int\:(\sqrt{25-x^{2}})dx
derivative of xsqrt(1-x)
\frac{d}{dx}(x\sqrt{1-x})
derivative of (x-1/4)
\frac{d}{dx}(\frac{x-1}{4})
derivative of 8arcsin(x^3)
\frac{d}{dx}(8\arcsin(x^{3}))
integral of sqrt(7+x^2)
\int\:\sqrt{7+x^{2}}dx
x^{''}-0.1x^'+x=0
x^{\prime\:\prime\:}-0.1x^{\prime\:}+x=0
y(dy)/(dx)=x+2
y\frac{dy}{dx}=x+2
integral of (x/2)^2
\int\:(\frac{x}{2})^{2}dx
limit as x approaches 0-of F(x)
\lim\:_{x\to\:0-}(F(x))
tangent of f(x)=1+sqrt(4-x),\at x=-2
tangent\:f(x)=1+\sqrt{4-x},\at\:x=-2
integral of (4xy-2x^2)/(2x^3-x^2y)
\int\:\frac{4xy-2x^{2}}{2x^{3}-x^{2}y}dy
integral of 90(2x-5)^8
\int\:90(2x-5)^{8}dx
sum from n=5 to infinity of 4-4/(n^2)
\sum\:_{n=5}^{\infty\:}4-\frac{4}{n^{2}}
y^'=(2t)/(3y^2)
y^{\prime\:}=\frac{2t}{3y^{2}}
y^'=14sqrt(x)y
y^{\prime\:}=14\sqrt{x}y
derivative of sqrt(7+6x)
\frac{d}{dx}(\sqrt{7+6x})
integral of ((3x^4))/(x^2-2x)
\int\:\frac{(3x^{4})}{x^{2}-2x}dx
tangent of f(x)=3x^4,\at x=-1
tangent\:f(x)=3x^{4},\at\:x=-1
integral of 1/42 x
\int\:\frac{1}{42}xdx
derivative of 5x-8
\frac{d}{dx}(5x-8)
tangent of f(x)=x^4-8x^3+4,\at x=-1
tangent\:f(x)=x^{4}-8x^{3}+4,\at\:x=-1
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