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Popular Calculus Problems

(dP)/(dt)+2tP=P+8t-4	\frac{dP}{dt}+2tP=P+8t-4
integral of-3/(x^2)	\int\:-\frac{3}{x^{2}}dx
(\partial)/(\partial y)(ln(x^{10}y))	\frac{\partial\:}{\partial\:y}(\ln(x^{10}y))
area 66x, 2/3 x,40-x^2	area\:66x,\frac{2}{3}x,40-x^{2}
tangent of f(x)= 1/(x^3),\at x=-2	tangent\:f(x)=\frac{1}{x^{3}},\at\:x=-2
integral from-2 to 6 of 4y-(y^2-12)	\int\:_{-2}^{6}4y-(y^{2}-12)dy
(\partial)/(\partial x)(40xy^{-4}z)	\frac{\partial\:}{\partial\:x}(40xy^{-4}z)
integral from-2 to 2 of (sqrt(4-x^2))^2	\int\:_{-2}^{2}(\sqrt{4-x^{2}})^{2}dx
derivative of (5x-3^4(2x-7)^{-3})	\frac{d}{dx}((5x-3)^{4}(2x-7)^{-3})
(1/(2sqrt(x)))^'	(\frac{1}{2\sqrt{x}})^{\prime\:}
derivative of θcos(θ)	derivative\:θ\cos(θ)
integral of (2x-4^x)	\int\:(2x-4^{x})dx
area y=x^2-4,y=5	area\:y=x^{2}-4,y=5
derivative of 8^{sin(pix})	\frac{d}{dx}(8^{\sin(πx)})
integral from 1 to 8 of sqrt(2/x)	\int\:_{1}^{8}\sqrt{\frac{2}{x}}dx
derivative of f(x)=-6	derivative\:f(x)=-6
limit as x approaches-6 of 1/(x+6)	\lim\:_{x\to\:-6}(\frac{1}{x+6})
(\partial)/(\partial x)(4x^3y^2+4)	\frac{\partial\:}{\partial\:x}(4x^{3}y^{2}+4)
f(x)=3x^4	f(x)=3x^{4}
inverse oflaplace 8/(s^3(s+2))	inverselaplace\:\frac{8}{s^{3}(s+2)}
area 4-x^2,(-2,2)	area\:4-x^{2},(-2,2)
tangent of 7/(2sqrt(7x+2))	tangent\:\frac{7}{2\sqrt{7x+2}}
derivative of f(x)=3x^{-4}	derivative\:f(x)=3x^{-4}
integral of (3t)/(\sqrt[3]{t^2+3)}	\int\:\frac{3t}{\sqrt[3]{t^{2}+3}}dt
integral of (x*9^{2x^2-8})	\int\:(x\cdot\:9^{2x^{2}-8})dx
(\partial)/(\partial x)(1+xln(xy-9))	\frac{\partial\:}{\partial\:x}(1+x\ln(xy-9))
inverse oflaplace (2s+2)/(s^2+2s+5)	inverselaplace\:\frac{2s+2}{s^{2}+2s+5}
integral of e^{-x^2}*x	\int\:e^{-x^{2}}\cdot\:xdx
sum from k=1 to infinity of (k^2)/(k!)	\sum\:_{k=1}^{\infty\:}\frac{k^{2}}{k!}
derivative of (x^3+2x^2-1/(x+5))	\frac{d}{dx}(\frac{x^{3}+2x^{2}-1}{x+5})
integral of 1/2 x^2*1/x	\int\:\frac{1}{2}x^{2}\cdot\:\frac{1}{x}dx
limit as x approaches infinity of ((x^p)/(e^x))^{1/n}	\lim\:_{x\to\:\infty\:}((\frac{x^{p}}{e^{x}})^{\frac{1}{n}})
x*(dy)/(dx)+6y=x^3-x	x\cdot\:\frac{dy}{dx}+6y=x^{3}-x
d/(dt)(4)	\frac{d}{dt}(4)
((2t)/(t^2+1))^'	(\frac{2t}{t^{2}+1})^{\prime\:}
(\partial)/(\partial y)(x^3-5xy)	\frac{\partial\:}{\partial\:y}(x^{3}-5xy)
limit as x approaches 0+of sin(x)ln(2x)	\lim\:_{x\to\:0+}(\sin(x)\ln(2x))
(d^3)/(dx^3)(x^4-4x^3)	\frac{d^{3}}{dx^{3}}(x^{4}-4x^{3})
limit as x approaches-1 of (1-\|x\|)/(x+1)	\lim\:_{x\to\:-1}(\frac{1-\left\|x\right\|}{x+1})
(\partial)/(\partial y)(cos(y)sin(x))	\frac{\partial\:}{\partial\:y}(\cos(y)\sin(x))
laplacetransform (-3t^2)(t-2)	laplacetransform\:(-3t^{2})(t-2)
taylor 25x^3-6x^2+7x-88	taylor\:25x^{3}-6x^{2}+7x-88
integral of (8x^2)/((64+x^2)^2)	\int\:\frac{8x^{2}}{(64+x^{2})^{2}}dx
slope of (2.6)(4.12)	slope\:(2.6)(4.12)
integral from 1 to e^6 of (ln^2(x^2))/x	\int\:_{1}^{e^{6}}\frac{\ln^{2}(x^{2})}{x}dx
area x=sqrt(25-y)-5,x=y-10	area\:x=\sqrt{25-y}-5,x=y-10
derivative of (x^2-4^2)	\frac{d}{dx}((x^{2}-4)^{2})
derivative of 2pix(cos(pix^2))	\frac{d}{dx}(2πx(\cos(πx^{2})))
derivative of y=x^5e^x	derivative\:y=x^{5}e^{x}
sum from n=1 to infinity of 4	\sum\:_{n=1}^{\infty\:}4
sum from n=1 to infinity of 0.2^n	\sum\:_{n=1}^{\infty\:}0.2^{n}
integral of 15x^{14}	\int\:15x^{14}dx
(\partial)/(\partial z)(-3xysin(z))	\frac{\partial\:}{\partial\:z}(-3xy\sin(z))
derivative of f(x)=x^2+5x	derivative\:f(x)=x^{2}+5x
limit as x approaches infinity of (e^{2/x}sin(pix))/(x+2)+x	\lim\:_{x\to\:\infty\:}(\frac{e^{\frac{2}{x}}\sin(πx)}{x+2}+x)
derivative of 6x^{-5}	\frac{d}{dx}(6x^{-5})
limit as x approaches infinity+of x^4	\lim\:_{x\to\:\infty\:+}(x^{4})
integral of (7+x+x^2)	\int\:(7+x+x^{2})dx
integral from 1 to e^x of ln(x)	\int\:_{1}^{e^{x}}\ln(x)dx
integral of (9x^2+7x+9)/((x^2+1)^2)	\int\:\frac{9x^{2}+7x+9}{(x^{2}+1)^{2}}dx
integral of (5-e^x)/(e^{4x)}	\int\:\frac{5-e^{x}}{e^{4x}}dx
(\partial)/(\partial x)(ln(x+9y+5z))	\frac{\partial\:}{\partial\:x}(\ln(x+9y+5z))
derivative of 4ae^{4x}	\frac{d}{dx}(4ae^{4x})
integral from-infinity to 2 of x^2e^x	\int\:_{-\infty\:}^{2}x^{2}e^{x}dx
tangent of y=(sqrt(x))/(x+3),(4, 2/7)	tangent\:y=\frac{\sqrt{x}}{x+3},(4,\frac{2}{7})
derivative of (x^3)/3+3/(x^3)	derivative\:\frac{x^{3}}{3}+\frac{3}{x^{3}}
integral from 0 to pi of pisin^4(x)	\int\:_{0}^{π}π\sin^{4}(x)dx
limit as x approaches 2 of sqrt(4)	\lim\:_{x\to\:2}(\sqrt{4})
integral of (x+4)(x-5)	\int\:(x+4)(x-5)dx
derivative of-x^2-1	\frac{d}{dx}(-x^{2}-1)
derivative of (x^2-7x+8)sqrt(25-x^2)	derivative\:(x^{2}-7x+8)\sqrt{25-x^{2}}
(\partial)/(\partial y)((3x+1)/(x+2))	\frac{\partial\:}{\partial\:y}(\frac{3x+1}{x+2})
y^{''}+4y^'+5y=0,y(0)=1,y^'(0)=2	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=0,y(0)=1,y^{\prime\:}(0)=2
integral of 1/(1-3v)	\int\:\frac{1}{1-3v}dv
limit as x approaches 9 of (x^2)/3-3/x	\lim\:_{x\to\:9}(\frac{x^{2}}{3}-\frac{3}{x})
integral of 4sin^2(x)	\int\:4\sin^{2}(x)dx
integral from 2 to 5 of 1	\int\:_{2}^{5}1dx
derivative of x/(x+13)	\frac{d}{dx}(\frac{x}{x+13})
x(dy)/(dx)+5y=7x^2	x\frac{dy}{dx}+5y=7x^{2}
derivative of (x+1e^{-x})	\frac{d}{dx}((x+1)e^{-x})
integral of 9/(x^8)	\int\:\frac{9}{x^{8}}dx
integral from 0 to 10 of \|x^2-8x+7\|	\int\:_{0}^{10}\left\|x^{2}-8x+7\right\|dx
integral of 1/(sqrt(x)+\sqrt[3]{x)}	\int\:\frac{1}{\sqrt{x}+\sqrt[3]{x}}dx
(\partial)/(\partial x)(4xcos(5xy))	\frac{\partial\:}{\partial\:x}(4x\cos(5xy))
laplacetransform t^3*e^{-3t}	laplacetransform\:t^{3}\cdot\:e^{-3t}
integral of 5e^{-3x}	\int\:5e^{-3x}dx
derivative of (9-xe^x)/(x+e^x)	derivative\:\frac{9-xe^{x}}{x+e^{x}}
derivative of acos(t)+t^2sin(t)	derivative\:a\cos(t)+t^{2}\sin(t)
integral from 0 to 2 of 1/((x-1)^{2/3)}	\int\:_{0}^{2}\frac{1}{(x-1)^{\frac{2}{3}}}dx
limit as x approaches 0-of (sin(x))^x	\lim\:_{x\to\:0-}((\sin(x))^{x})
(ln(2))^'	(\ln(2))^{\prime\:}
derivative of sqrt(x+1)(sqrt(x+1))	\frac{d}{dx}(\sqrt{x+1}(\sqrt{x+1}))
area y=x^2-21,y=7-3x	area\:y=x^{2}-21,y=7-3x
derivative of (10x)/(x^2-6)	derivative\:\frac{10x}{x^{2}-6}
derivative of \sqrt[n]{x}	\frac{d}{dx}(\sqrt[n]{x})
derivative of (x^2+1^{0.6})	\frac{d}{dx}((x^{2}+1)^{0.6})
integral of (ln(x))/(xsqrt(1+(ln(x))^2))	\int\:\frac{\ln(x)}{x\sqrt{1+(\ln(x))^{2}}}dx
d/(dt)(-8cos(t))	\frac{d}{dt}(-8\cos(t))
derivative of ln((x+a/(sqrt(y))))	\frac{d}{dx}(\ln(\frac{x+a}{\sqrt{y}}))
integral of 1/(x^2-2x+82)	\int\:\frac{1}{x^{2}-2x+82}dx

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