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Popular Calculus Problems

(\partial)/(\partial x)(7e^xln(y))	\frac{\partial\:}{\partial\:x}(7e^{x}\ln(y))
derivative of sec^3(5x)	\frac{d}{dx}(\sec^{3}(5x))
derivative of arctan(6x)	derivative\:\arctan(6x)
tangent of f(x)=x^3+2x^2+4	tangent\:f(x)=x^{3}+2x^{2}+4
derivative of 18	\frac{d}{dx}(18)
f(x)=(2-xcos(pix))/(x-2)	f(x)=\frac{2-x\cos(πx)}{x-2}
integral of 1/(4+(x-2)^2)	\int\:\frac{1}{4+(x-2)^{2}}dx
(\partial)/(\partial x)(x^3-y^3+2xy)	\frac{\partial\:}{\partial\:x}(x^{3}-y^{3}+2xy)
(\partial)/(\partial x)(e(y^2))	\frac{\partial\:}{\partial\:x}(e(y^{2}))
derivative of f(x)=sin^3(2x)	derivative\:f(x)=\sin^{3}(2x)
derivative of y=8x^3-5x^2-x/(12)	derivative\:y=8x^{3}-5x^{2}-\frac{x}{12}
derivative of ((x+3/(x-3))^5)	\frac{d}{dx}((\frac{x+3}{x-3})^{5})
limit as x approaches infinity of 2-x	\lim\:_{x\to\:\infty\:}(2-x)
sum from n=0 to infinity of 0.9^{2n}	\sum\:_{n=0}^{\infty\:}0.9^{2n}
(\partial)/(\partial x)(xe^{6y})	\frac{\partial\:}{\partial\:x}(xe^{6y})
(\partial}{\partial x}(\frac{x^{3/2})/3)	\frac{\partial\:}{\partial\:x}(\frac{x^{\frac{3}{2}}}{3})
(\partial)/(\partial y)(2x^2y+3xy^3)	\frac{\partial\:}{\partial\:y}(2x^{2}y+3xy^{3})
integral from 0 to 8 of x^3sqrt(x^2+64)	\int\:_{0}^{8}x^{3}\sqrt{x^{2}+64}dx
derivative of y=(x^2)/(5-8x)	derivative\:y=\frac{x^{2}}{5-8x}
derivative of x/(4+x^2)	\frac{d}{dx}(\frac{x}{4+x^{2}})
limit as x approaches 0 of x^3*sin(1/x)	\lim\:_{x\to\:0}(x^{3}\cdot\:\sin(\frac{1}{x}))
limit as x approaches 0 of (1-2x)^{5/x}	\lim\:_{x\to\:0}((1-2x)^{\frac{5}{x}})
integral of cot^2(θ)	\int\:\cot^{2}(θ)dθ
derivative of y=(4x^2+6x+8)/(sqrt(x))	derivative\:y=\frac{4x^{2}+6x+8}{\sqrt{x}}
integral of ((sec(x)+cos(x))/(2cos(x)))	\int\:(\frac{\sec(x)+\cos(x)}{2\cos(x)})dx
laplacetransform (t-1)^4	laplacetransform\:(t-1)^{4}
(\partial)/(\partial x)(sqrt(25-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{25-x^{2}})
(dy)/(dx)+1/(x+8)y=x^{-2}	\frac{dy}{dx}+\frac{1}{x+8}y=x^{-2}
e^xydy=(e^{-y}+e^{-2x-y})dx	e^{x}ydy=(e^{-y}+e^{-2x-y})dx
limit as x approaches infinity of 2^2	\lim\:_{x\to\:\infty\:}(2^{2})
limit as n approaches 1 of ((-1/5)^n)/n	\lim\:_{n\to\:1}(\frac{(-\frac{1}{5})^{n}}{n})
(dy)/(dx)= y/(xln(x))	\frac{dy}{dx}=\frac{y}{x\ln(x)}
integral of 3/(2sqrt(x))	\int\:\frac{3}{2\sqrt{x}}dx
integral of 1/(2^n)	\int\:\frac{1}{2^{n}}
limit as x approaches 2+of 2/((x-2)^2)	\lim\:_{x\to\:2+}(\frac{2}{(x-2)^{2}})
integral of (2x^2-1)	\int\:(2x^{2}-1)dx
integral of 2cos(x)+7	\int\:2\cos(x)+7dx
derivative of ax^2+by(x^2+c)	\frac{d}{dx}(ax^{2}+by(x)^{2}+c)
integral from 0 to y of integral from 0 to x of (x^2+y^2)^{3/2}	\int\:_{0}^{y}\int\:_{0}^{x}(x^{2}+y^{2})^{\frac{3}{2}}dydx
area 3x, 3/4 x,70-x^2	area\:3x,\frac{3}{4}x,70-x^{2}
y^'=((y+y^2))/(x^2)	y^{\prime\:}=\frac{(y+y^{2})}{x^{2}}
integral from 0 to 3 of \|3x-1\|	\int\:_{0}^{3}\left\|3x-1\right\|dx
(\partial)/(\partial x)(x^2+xy+3y)	\frac{\partial\:}{\partial\:x}(x^{2}+xy+3y)
integral of (z+1)e^{2z}	\int\:(z+1)e^{2z}dz
integral of x(x^2-3)^3	\int\:x(x^{2}-3)^{3}dx
(\partial)/(\partial x)(a^{-x})	\frac{\partial\:}{\partial\:x}(a^{-x})
derivative of x/(\sqrt[3]{x^2+4})	\frac{d}{dx}(\frac{x}{\sqrt[3]{x^{2}+4}})
integral of (12)/(x^2+1)	\int\:\frac{12}{x^{2}+1}dx
derivative of (sqrt(x)/(1+x))	\frac{d}{dx}(\frac{\sqrt{x}}{1+x})
integral of (7(sin(2x))/(sin(x)))	\int\:(7\frac{\sin(2x)}{\sin(x)})dx
integral of (3x^2+14x)(x^3+7x^2+1)	\int\:(3x^{2}+14x)(x^{3}+7x^{2}+1)dx
tangent of sqrt((5x^2-3x+2))^7	tangent\:\sqrt{(5x^{2}-3x+2)}^{7}
(\partial)/(\partial x)(ln(7x))	\frac{\partial\:}{\partial\:x}(\ln(7x))
x^{''}+3x^'=0,x(0)=0,x^'(0)=-3	x^{\prime\:\prime\:}+3x^{\prime\:}=0,x(0)=0,x^{\prime\:}(0)=-3
derivative of e^{x^e}	derivative\:e^{x^{e}}
limit as x approaches 6-of sqrt(x-6)	\lim\:_{x\to\:6-}(\sqrt{x-6})
integral of ((2x+1))/(x^2-2x+5)	\int\:\frac{(2x+1)}{x^{2}-2x+5}dx
integral of 9tan(x)	\int\:9\tan(x)dx
limit as x approaches-1 of (x+2)/(x+1)	\lim\:_{x\to\:-1}(\frac{x+2}{x+1})
integral of (5x+2)/(\sqrt[3]{6x+3)}	\int\:\frac{5x+2}{\sqrt[3]{6x+3}}dx
f(x)= pi/x	f(x)=\frac{π}{x}
integral of 1/(2x^6)	\int\:\frac{1}{2x^{6}}dx
tangent of f(x)=-x^2-3x+4,\at x=-3	tangent\:f(x)=-x^{2}-3x+4,\at\:x=-3
laplacetransform e^{-t}sin(t)	laplacetransform\:e^{-t}\sin(t)
limit as x approaches 3 of f(x)	\lim\:_{x\to\:3}(f(x))
integral of (4x 5/4-2x 1/4)/(x 1/4)	\int\:\frac{4x\frac{5}{4}-2x\frac{1}{4}}{x\frac{1}{4}}dx
integral from 0 to pi/2 of (3cos^2(x))	\int\:_{0}^{\frac{π}{2}}(3\cos^{2}(x))dx
(1/(cos^2(x)))^'	(\frac{1}{\cos^{2}(x)})^{\prime\:}
integral of 3sec^2(x)	\int\:3\sec^{2}(x)dx
limit as x approaches 5 of 2x^3-3x+8	\lim\:_{x\to\:5}(2x^{3}-3x+8)
tangent of x^2+x,\at x=-4	tangent\:x^{2}+x,\at\:x=-4
limit as x approaches 3pi-of 1+csc(x)	\lim\:_{x\to\:3π-}(1+\csc(x))
y=(sqrt(x))/(7+x)	y=\frac{\sqrt{x}}{7+x}
derivative of 1/(x(ln(x)^3))	\frac{d}{dx}(\frac{1}{x(\ln(x))^{3}})
limit as x approaches 2 of-(x)	\lim\:_{x\to\:2}(-(x))
derivative of f(x)=4+8x-5x^2	derivative\:f(x)=4+8x-5x^{2}
(dy)/(dx)=3(y+7)x^2	\frac{dy}{dx}=3(y+7)x^{2}
derivative of (1-3t)/(6+t)	derivative\:\frac{1-3t}{6+t}
limit as x approaches 0 of-sin(x)	\lim\:_{x\to\:0}(-\sin(x))
integral of e^{tan(7x)}sec^2(7x)	\int\:e^{\tan(7x)}\sec^{2}(7x)dx
derivative of 3/(x^2-2x)	\frac{d}{dx}(\frac{3}{x^{2}-2x})
integral of (4x-1)/(sqrt(3-4x-x^2))	\int\:\frac{4x-1}{\sqrt{3-4x-x^{2}}}dx
integral of (1-cos(2x))/(1+cos(2x))	\int\:\frac{1-\cos(2x)}{1+\cos(2x)}dx
integral from 0 to 5 of 5-y	\int\:_{0}^{5}5-ydy
derivative of sqrt(t/(t^2+7))	derivative\:\sqrt{\frac{t}{t^{2}+7}}
(dx)/(dt)+4tx=t,x(0)=0	\frac{dx}{dt}+4tx=t,x(0)=0
integral of x/7 sqrt(49+x^2)	\int\:\frac{x}{7}\sqrt{49+x^{2}}dx
derivative of e^{-2x}-x	\frac{d}{dx}(e^{-2x}-x)
derivative of (1+4x^2(x-x^2))	\frac{d}{dx}((1+4x^{2})(x-x^{2}))
integral of x-y^3+y^2sin(x)	\int\:x-y^{3}+y^{2}\sin(x)dx
maclaurin (1+x)^{-2/5}	maclaurin\:(1+x)^{-\frac{2}{5}}
integral of e^{-kx}cos(wx)	\int\:e^{-kx}\cos(wx)dx
(\partial)/(\partial x)(4x^2+3y^2)	\frac{\partial\:}{\partial\:x}(4x^{2}+3y^{2})
integral of csc((x-pi)/2)cot((x-pi)/2)	\int\:\csc(\frac{x-π}{2})\cot(\frac{x-π}{2})dx
limit as x approaches 0 of x^8cos(6/x)	\lim\:_{x\to\:0}(x^{8}\cos(\frac{6}{x}))
derivative of 2/(x+4)	\frac{d}{dx}(\frac{2}{x+4})
derivative of x^{-6/7}	\frac{d}{dx}(x^{-\frac{6}{7}})
derivative of (6x^2+2x+6/(sqrt(x)))	\frac{d}{dx}(\frac{6x^{2}+2x+6}{\sqrt{x}})
(\partial)/(\partial x)(7^{x^2+1})	\frac{\partial\:}{\partial\:x}(7^{x^{2}+1})
derivative of sqrt(x\sqrt{x\sqrt{x)}}	derivative\:\sqrt{x\sqrt{x\sqrt{x}}}

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