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Popular Calculus Problems

integral of (x+1)e^{5x^2+10x}	\int\:(x+1)e^{5x^{2}+10x}dx
derivative of (1+9x^2)(x-x^2)	derivative\:(1+9x^{2})(x-x^{2})
derivative of 7x(sin(x+cos(x)))	\frac{d}{dx}(7x(\sin(x)+\cos(x)))
(dx)/(dt)=2e^t-2	\frac{dx}{dt}=2e^{t}-2
slope of (-1.2)(4)	slope\:(-1.2)(4)
derivative of \sqrt[5]{x^4}	derivative\:\sqrt[5]{x^{4}}
derivative of 10z^2e^z	derivative\:10z^{2}e^{z}
derivative of ln(x^3)	derivative\:\ln(x^{3})
derivative of ax^3+bx^2-c/3 x+d	\frac{d}{dx}(ax^{3}+bx^{2}-\frac{c}{3}x+d)
derivative of y=x^2(x-1)	derivative\:y=x^{2}(x-1)
(\partial)/(\partial x)(x^7y^9-x^6y^8)	\frac{\partial\:}{\partial\:x}(x^{7}y^{9}-x^{6}y^{8})
integral of 1/((x^2+x+1))	\int\:\frac{1}{(x^{2}+x+1)}dx
taylor (-5x+24)^{3/2}	taylor\:(-5x+24)^{\frac{3}{2}}
area f(x)=4-(x-1)^2,(1,3)	area\:f(x)=4-(x-1)^{2},(1,3)
integral of (r^3)/(sqrt(4-r^2))	\int\:\frac{r^{3}}{\sqrt{4-r^{2}}}dr
integral of x/(x^4+4)	\int\:\frac{x}{x^{4}+4}dx
derivative of tan(x/5)	\frac{d}{dx}(\tan(\frac{x}{5}))
derivative of (11-3x^{2/3}(x-2)^4)	\frac{d}{dx}((11-3x)^{\frac{2}{3}}(x-2)^{4})
integral of (x^2+2x+3)/((x-1)(x+1)^2)	\int\:\frac{x^{2}+2x+3}{(x-1)(x+1)^{2}}dx
limit as x approaches 0 of (sin(x))^2	\lim\:_{x\to\:0}((\sin(x))^{2})
derivative of 3+2/3 (1-x^{3/2})	\frac{d}{dx}(3+\frac{2}{3}(1-x)^{\frac{3}{2}})
integral of (sin(1/(x^7)))/(x^8)	\int\:\frac{\sin(\frac{1}{x^{7}})}{x^{8}}dx
integral of (sin^7(7x))/(cos^4(7x))	\int\:\frac{\sin^{7}(7x)}{\cos^{4}(7x)}dx
derivative of ln(12x)	derivative\:\ln(12x)
derivative of sin((pix/5))	\frac{d}{dx}(\sin(\frac{πx}{5}))
derivative of y=(6x)/(3-cot(x))	derivative\:y=\frac{6x}{3-\cot(x)}
derivative of tan^2(x/2)	\frac{d}{dx}(\tan^{2}(\frac{x}{2}))
derivative of (2x-5^2)	\frac{d}{dx}((2x-5)^{2})
integral of (x^3)/(2x-1)	\int\:\frac{x^{3}}{2x-1}dx
limit as x approaches 0 of \|x\|^x	\lim\:_{x\to\:0}(\left\|x\right\|^{x})
limit as x approaches 3-of 6/((x-3)^5)	\lim\:_{x\to\:3-}(\frac{6}{(x-3)^{5}})
area y=x^2,y=3-2x	area\:y=x^{2},y=3-2x
integral of (4x)/(x^4-16)	\int\:\frac{4x}{x^{4}-16}dx
derivative of y=2cot(t)-e^{-t}	derivative\:y=2\cot(t)-e^{-t}
integral of ((1+sqrt(x))^3)/(sqrt(x))	\int\:\frac{(1+\sqrt{x})^{3}}{\sqrt{x}}dx
(dy)/(dx)=(e^{7x})/(4y^3)	\frac{dy}{dx}=\frac{e^{7x}}{4y^{3}}
(\partial)/(\partial x)(x^{1/3}*y^{2/3})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{3}}\cdot\:y^{\frac{2}{3}})
derivative of y=(ln(x))^4	derivative\:y=(\ln(x))^{4}
integral of (x^3)/((49-4x^2)^{3/2)}	\int\:\frac{x^{3}}{(49-4x^{2})^{\frac{3}{2}}}dx
integral of x(4x^2+7)^9	\int\:x(4x^{2}+7)^{9}dx
integral of 1/(sqrt(x)*(2+\sqrt[4]{x))}	\int\:\frac{1}{\sqrt{x}\cdot\:(2+\sqrt[4]{x})}dx
(\partial)/(\partial y)(x+4y)	\frac{\partial\:}{\partial\:y}(x+4y)
derivative of ((2x^2tan(x)))/(sec(x))	derivative\:\frac{(2x^{2}\tan(x))}{\sec(x)}
limit as x approaches 0 of e^xcos(2x)	\lim\:_{x\to\:0}(e^{x}\cos(2x))
integral from 2 to e^3 of 1/x	\int\:_{2}^{e^{3}}\frac{1}{x}dx
derivative of y=(2cos(sqrt(x)))/(x+1)	derivative\:y=\frac{2\cos(\sqrt{x})}{x+1}
derivative of e^{-3x^2}	derivative\:e^{-3x^{2}}
inverse oflaplace (-s)/(7s^2+26s+25)	inverselaplace\:\frac{-s}{7s^{2}+26s+25}
derivative of sqrt(7x+3)	\frac{d}{dx}(\sqrt{7x+3})
limit as n approaches infinity of (3n^{0.4+1}+7n)/(3n^{0.4)+7n}	\lim\:_{n\to\:\infty\:}(\frac{3n^{0.4+1}+7n}{3n^{0.4}+7n})
y^{''}+5y^'=e^{-t},y(0)=-0,y^'(0)=1	y^{\prime\:\prime\:}+5y^{\prime\:}=e^{-t},y(0)=-0,y^{\prime\:}(0)=1
integral of (-y)/(cot(x))	\int\:\frac{-y}{\cot(x)}dx
y^{''}+2y^'-24y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-24y=0
xy+y^'=76x	xy+y^{\prime\:}=76x
integral of sin(9x)	\int\:\sin(9x)dx
integral of 10/9 \sqrt[9]{x}	\int\:\frac{10}{9}\sqrt[9]{x}dx
integral of sin(4θ)	\int\:\sin(4θ)dθ
t^2y^{''}-t(t+2)y^'+(t+2)y=2t^3	t^{2}y^{\prime\:\prime\:}-t(t+2)y^{\prime\:}+(t+2)y=2t^{3}
limit as x approaches infinity of 3/x+1	\lim\:_{x\to\:\infty\:}(\frac{3}{x}+1)
integral of ((5x+3))/(x^2-9)	\int\:\frac{(5x+3)}{x^{2}-9}dx
derivative of sqrt((x-1/(x^4+1)))	\frac{d}{dx}(\sqrt{\frac{x-1}{x^{4}+1}})
integral of e^{-x^4}	\int\:e^{-x^{4}}dx
(\partial)/(\partial x)(-2xyz^2+12)	\frac{\partial\:}{\partial\:x}(-2xyz^{2}+12)
laplacetransform 10sin(6t)	laplacetransform\:10\sin(6t)
integral of x/(x-x^2)	\int\:\frac{x}{x-x^{2}}dx
sum from k=2 to infinity of (1/3)^k	\sum\:_{k=2}^{\infty\:}(\frac{1}{3})^{k}
derivative of y=arcsin(x)+sqrt(1-x^2)	derivative\:y=\arcsin(x)+\sqrt{1-x^{2}}
(\partial)/(\partial v)(uv-1)	\frac{\partial\:}{\partial\:v}(uv-1)
derivative of 4x+(64/x)	\frac{d}{dx}(4x+\frac{64}{x})
derivative of f(x)=3x-9	derivative\:f(x)=3x-9
limit as x approaches 3 of (x^2-2x+1)/2	\lim\:_{x\to\:3}(\frac{x^{2}-2x+1}{2})
(3 y/x-8)dx+3dy=0	(3\frac{y}{x}-8)dx+3dy=0
derivative of y= 1/(sin^2(x))	derivative\:y=\frac{1}{\sin^{2}(x)}
(dy)/(dx)=7xcos(x^2)	\frac{dy}{dx}=7x\cos(x^{2})
integral of xe^{x^2}cos(x^2)	\int\:xe^{x^{2}}\cos(x^{2})dx
derivative of (1-2x/(3x^2))	\frac{d}{dx}(\frac{1-2x}{3x^{2}})
derivative of ((x+5/(x^2+2))^2)	\frac{d}{dx}((\frac{x+5}{x^{2}+2})^{2})
(d^2)/(dx^2)(e^{6/x})	\frac{d^{2}}{dx^{2}}(e^{\frac{6}{x}})
limit as x approaches infinity of-3x^3+x	\lim\:_{x\to\:\infty\:}(-3x^{3}+x)
area y=0,y=3(x^3-x)	area\:y=0,y=3(x^{3}-x)
limit as x approaches 0 of cos(x)	\lim\:_{x\to\:0}(\cos(x))
derivative of-6x^{-2}	derivative\:-6x^{-2}
integral from-infinity to 0 of xe^{-2x}	\int\:_{-\infty\:}^{0}xe^{-2x}dx
derivative of (2e^x-4x-6/(5sin(x)-3))	\frac{d}{dx}(\frac{2e^{x}-4x-6}{5\sin(x)-3})
(\partial)/(\partial x)(ln(x)tan(y))	\frac{\partial\:}{\partial\:x}(\ln(x)\tan(y))
integral of (sqrt(x))/3	\int\:\frac{\sqrt{x}}{3}dx
integral of [(4x-9)^6-2x]	\int\:[(4x-9)^{6}-2x]dx
integral of (3x)/(1+x^4)	\int\:\frac{3x}{1+x^{4}}dx
derivative of f(x)=x^3-3x^2+4x-7	derivative\:f(x)=x^{3}-3x^{2}+4x-7
integral of cos(x)+2	\int\:\cos(x)+2dx
derivative of x(7x+9^{1/3})	\frac{d}{dx}(x(7x+9)^{\frac{1}{3}})
25y^{''}+2y=0	25y^{\prime\:\prime\:}+2y=0
tangent of f(x)=-x^3,(2,-8)	tangent\:f(x)=-x^{3},(2,-8)
integral from-infinity to-1 of e^{-30t}	\int\:_{-\infty\:}^{-1}e^{-30t}dt
derivative of x/(y^2+1)	\frac{d}{dx}(\frac{x}{y^{2}+1})
derivative of log_{e}(2)	\frac{d}{dx}(\log_{e}(2))
(d^2}{dx^2}(xe^{-\frac{x^2)/2})	\frac{d^{2}}{dx^{2}}(xe^{-\frac{x^{2}}{2}})
integral of xsqrt(x-8)	\int\:x\sqrt{x-8}dx
tangent of 3x^2+xy+3y^2=7,(1,1)	tangent\:3x^{2}+xy+3y^{2}=7,(1,1)
tangent of (sin(t))/(2+2cos(t))	tangent\:\frac{\sin(t)}{2+2\cos(t)}

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