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Popular Calculus Problems

integral of 10sin^2(xco)s^2x	\int\:10\sin^{2}(xco)s^{2}xdx
derivative of kx^4(x_{0}-x)	\frac{d}{dx}(kx^{4}(x_{0}-x))
derivative of (sin(5x^2)^2)	\frac{d}{dx}((\sin(5x^{2}))^{2})
integral from 1 to 5 of (x-1)/(x^3+x)	\int\:_{1}^{5}\frac{x-1}{x^{3}+x}dx
9y^'+y=5t^2	9y^{\prime\:}+y=5t^{2}
sum from n=1 to infinity of (-3/5)^n	\sum\:_{n=1}^{\infty\:}(-\frac{3}{5})^{n}
d/(du)(tan(u/v))	\frac{d}{du}(\tan(\frac{u}{v}))
(dx)/(dy)=y	\frac{dx}{dy}=y
(1/(cos(x)))^'	(\frac{1}{\cos(x)})^{\prime\:}
derivative of 2arcsin(x^4)	\frac{d}{dx}(2\arcsin(x^{4}))
x^2+y^2=2xy(dy)/(dx)	x^{2}+y^{2}=2xy\frac{dy}{dx}
integral of ((x+2))/(x^2-6x+5)	\int\:\frac{(x+2)}{x^{2}-6x+5}dx
derivative of sin(1)	derivative\:\sin(1)
integral of (16x^2)/((sqrt(2x+5))^5)	\int\:\frac{16x^{2}}{(\sqrt{2x+5})^{5}}dx
integral of (x+4)/(x^2+4x+4)	\int\:\frac{x+4}{x^{2}+4x+4}dx
integral of (3sin(x))/(cos^2(x))	\int\:\frac{3\sin(x)}{\cos^{2}(x)}dx
(\partial)/(\partial y)(ln(x+y))	\frac{\partial\:}{\partial\:y}(\ln(x+y))
(dy)/(dx)=xsqrt(x-24)	\frac{dy}{dx}=x\sqrt{x-24}
tangent of x^2+y^2=29,(2,-5)	tangent\:x^{2}+y^{2}=29,(2,-5)
(d^2)/(dx^2)(\sqrt[3]{x})	\frac{d^{2}}{dx^{2}}(\sqrt[3]{x})
derivative of 3ln(x-5)	\frac{d}{dx}(3\ln(x)-5)
integral of (3x^2+2x+7)/(x^2+1)	\int\:\frac{3x^{2}+2x+7}{x^{2}+1}dx
tangent of x^3,\at x=-5	tangent\:x^{3},\at\:x=-5
integral of 1/(-5x)	\int\:\frac{1}{-5x}dx
(\partial)/(\partial x)(4pi^2(x^2-y^2))	\frac{\partial\:}{\partial\:x}(4π^{2}(x^{2}-y^{2}))
derivative of arcsin(sqrt(sin(x)))	\frac{d}{dx}(\arcsin(\sqrt{\sin(x)}))
integral from 0 to 5 of 1/(25+x^2)	\int\:_{0}^{5}\frac{1}{25+x^{2}}dx
limit as x approaches 0 of (x^4+7x)/x	\lim\:_{x\to\:0}(\frac{x^{4}+7x}{x})
integral of (x+1/x)	\int\:(x+\frac{1}{x})dx
(df)/(dx)=tan^3(x)-sec^3(x)	\frac{df}{dx}=\tan^{3}(x)-\sec^{3}(x)
slope ofintercept (-1,-1),(1,0)	slopeintercept\:(-1,-1),(1,0)
derivative of 2x+xln(x)	\frac{d}{dx}(2x+x\ln(x))
derivative of f(x)=sin(6x)	derivative\:f(x)=\sin(6x)
integral from 0 to 1 of x^4	\int\:_{0}^{1}x^{4}dx
derivative of x^3(x^2+1^7)	\frac{d}{dx}(x^{3}(x^{2}+1)^{7})
sum from n=1 to infinity of (80)/(8^n)	\sum\:_{n=1}^{\infty\:}\frac{80}{8^{n}}
derivative of e^{-e^x}	\frac{d}{dx}(e^{-e^{x}})
derivative of ln(((x+1(x+2))/(x+3)))	\frac{d}{dx}(\ln(\frac{(x+1)(x+2)}{x+3}))
integral from-1 to 1 of x^2	\int\:_{-1}^{1}x^{2}dx
integral of 4e^{x+y}	\int\:4e^{x+y}
integral of cosh(u)	\int\:\cosh(u)du
tangent of y=x^2-5,(-5,20)	tangent\:y=x^{2}-5,(-5,20)
derivative of f(x)= 1/(t^2)	derivative\:f(x)=\frac{1}{t^{2}}
integral of 43tan^5(x)sec^4(x)	\int\:43\tan^{5}(x)\sec^{4}(x)dx
area y=-x^2+6x,y=x^2-4x	area\:y=-x^{2}+6x,y=x^{2}-4x
derivative of 4/((11x-3)^9)	derivative\:\frac{4}{(11x-3)^{9}}
integral from 0 to pi/2 of cos(x)	\int\:_{0}^{\frac{π}{2}}\cos(x)dx
integral of (x^2)/(sqrt(100+x^2))	\int\:\frac{x^{2}}{\sqrt{100+x^{2}}}dx
integral of 5(sec(x))^2	\int\:5(\sec(x))^{2}dx
derivative of y= 4/3 (2x-1)^3	derivative\:y=\frac{4}{3}(2x-1)^{3}
derivative of sqrt(x^2+16)	derivative\:\sqrt{x^{2}+16}
derivative of y=2x^3-x^2+2	derivative\:y=2x^{3}-x^{2}+2
integral of x^3(x^2-1)^7	\int\:x^{3}(x^{2}-1)^{7}dx
integral of ((x^3))/(sqrt(1-2x^2))	\int\:\frac{(x^{3})}{\sqrt{1-2x^{2}}}dx
derivative of-2e^{-2x}	derivative\:-2e^{-2x}
(dy)/(dx)-y=2xe^{2x}	\frac{dy}{dx}-y=2xe^{2x}
integral of (3x^3-4x-2)/(x^3)	\int\:\frac{3x^{3}-4x-2}{x^{3}}dx
inverse oflaplace ((x+5))/((x^2+5x+6))	inverselaplace\:\frac{(x+5)}{(x^{2}+5x+6)}
derivative of f(x)=\sqrt[5]{8+4x+x^3}	derivative\:f(x)=\sqrt[5]{8+4x+x^{3}}
y^{''}-2y^'-3y=-9te-t	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=-9te-t
(\partial)/(\partial y)(x^3+xy^2)	\frac{\partial\:}{\partial\:y}(x^{3}+xy^{2})
y^{'''}-3y^{''}+3y^'-y=x-2e^x	y^{\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:}+3y^{\prime\:}-y=x-2e^{x}
integral of 2x+4xln(8x)	\int\:2x+4x\ln(8x)dx
derivative of 1+1/(3x)	\frac{d}{dx}(1+\frac{1}{3x})
integral of 1/(sin(3x))	\int\:\frac{1}{\sin(3x)}dx
integral from-2 to 2 of 3	\int\:_{-2}^{2}3
(1/(x^2-1))^'	(\frac{1}{x^{2}-1})^{\prime\:}
tangent of f(x)=4-3x^2,(5,-71)	tangent\:f(x)=4-3x^{2},(5,-71)
inverse oflaplace (-0.5)/(s^2+s+1)	inverselaplace\:\frac{-0.5}{s^{2}+s+1}
integral of x-2+3/((3x-5)^6)	\int\:x-2+\frac{3}{(3x-5)^{6}}dx
derivative of sqrt(t/(t^2+8))	derivative\:\sqrt{\frac{t}{t^{2}+8}}
derivative of (2x-7)4(x^2+x+1)5	derivative\:(2x-7)4(x^{2}+x+1)5
derivative of-x+2cos(2x)	\frac{d}{dx}(-x+2\cos(2x))
tangent of y=(4x)/(x+2),(2,2)	tangent\:y=\frac{4x}{x+2},(2,2)
integral of (ln(6x))/(x^8)	\int\:\frac{\ln(6x)}{x^{8}}dx
limit as x approaches 1 of csc(x/2)	\lim\:_{x\to\:1}(\csc(\frac{x}{2}))
integral of (-x)/(sqrt(1+x^2))	\int\:\frac{-x}{\sqrt{1+x^{2}}}dx
sum from n=1 to infinity of 1/(n+10)	\sum\:_{n=1}^{\infty\:}\frac{1}{n+10}
integral of (0.4)/(sqrt(1-x^2))	\int\:\frac{0.4}{\sqrt{1-x^{2}}}dx
integral of-xsin(x)	\int\:-x\sin(x)dx
derivative of 0.09e^xsin(x)	derivative\:0.09e^{x}\sin(x)
integral from 1 to 4 of sqrt(x)ln(x)	\int\:_{1}^{4}\sqrt{x}\ln(x)dx
derivative of \sqrt[7]{x^4}	\frac{d}{dx}(\sqrt[7]{x^{4}})
derivative of \sqrt[6]{x}-4/x	\frac{d}{dx}(\sqrt[6]{x}-\frac{4}{x})
integral of (e^x-1)	\int\:(e^{x}-1)dx
derivative of 7arcsin(x^3)	\frac{d}{dx}(7\arcsin(x^{3}))
derivative of f(x)= 1/((e^x)^3)	derivative\:f(x)=\frac{1}{(e^{x})^{3}}
integral from 0 to 1 of (1+12x)/(1+3x)	\int\:_{0}^{1}\frac{1+12x}{1+3x}dx
(\partial)/(\partial x)(sin(2x-y))	\frac{\partial\:}{\partial\:x}(\sin(2x-y))
derivative of x^2-3x+1	\frac{d}{dx}(x^{2}-3x+1)
limit as x approaches 0 of e^{-3x}	\lim\:_{x\to\:0}(e^{-3x})
integral of (27arctan(x))/(x^2)	\int\:\frac{27\arctan(x)}{x^{2}}dx
(\partial)/(\partial u)(u/(4(v-w)^{3/2)})	\frac{\partial\:}{\partial\:u}(\frac{u}{4(v-w)^{\frac{3}{2}}})
(dy)/(dx)=1+5y	\frac{dy}{dx}=1+5y
slope of 7+4x^2-2x^3	slope\:7+4x^{2}-2x^{3}
limit as x approaches 1-of e^x	\lim\:_{x\to\:1-}(e^{x})
derivative of (x+6)/(x+2)	derivative\:\frac{x+6}{x+2}
y^'+1/x y=-4y^2	y^{\prime\:}+\frac{1}{x}y=-4y^{2}
integral from 0 to 1 of (81)/(x^5)	\int\:_{0}^{1}\frac{81}{x^{5}}dx
x(dy)/(dx)+y=2x	x\frac{dy}{dx}+y=2x

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