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Popular Calculus Problems

derivative of pi/4	derivative\:\frac{π}{4}
integral of sin^3(4x)cos^2(4x)	\int\:\sin^{3}(4x)\cos^{2}(4x)dx
(\partial)/(\partial x)(sqrt(4-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4-x^{2}})
(\partial)/(\partial y)(xy+2/x+4/y)	\frac{\partial\:}{\partial\:y}(xy+\frac{2}{x}+\frac{4}{y})
slope of (-34,74),(-33,44)	slope\:(-34,74),(-33,44)
(\partial)/(\partial u)(5u^2v^3+2u^2+7v)	\frac{\partial\:}{\partial\:u}(5u^{2}v^{3}+2u^{2}+7v)
(dy)/(dx)= y/(2(x+y))	\frac{dy}{dx}=\frac{y}{2(x+y)}
derivative of ln(cos^2(x)+sin^2(x))	derivative\:\ln(\cos^{2}(x)+\sin^{2}(x))
integral of (x^2)^{1/2}	\int\:(x^{2})^{\frac{1}{2}}dx
(\partial)/(\partial y)(sqrt((2x-3y)^3))	\frac{\partial\:}{\partial\:y}(\sqrt{(2x-3y)^{3}})
area sqrt(x+8),x=0,y=0	area\:\sqrt{x+8},x=0,y=0
derivative of y=(x+x^2)/(e^x+1)	derivative\:y=\frac{x+x^{2}}{e^{x}+1}
derivative of (54/(x^4))	\frac{d}{dx}(\frac{54}{x^{4}})
integral of 2x+4x^2-5/2	\int\:2x+4x^{2}-\frac{5}{2}dx
integral of (x^2)/(2(2-x))	\int\:\frac{x^{2}}{2(2-x)}dx
limit as x approaches 0 of (-1)/(14x)	\lim\:_{x\to\:0}(\frac{-1}{14x})
derivative of y=6x^2sin(x)tan(x)	derivative\:y=6x^{2}\sin(x)\tan(x)
limit as x approaches 2 of (2x+4)/(x-2)	\lim\:_{x\to\:2}(\frac{2x+4}{x-2})
integral of 4x^2sin(x)	\int\:4x^{2}\sin(x)dx
tangent of y=sqrt(2x),(8,4)	tangent\:y=\sqrt{2x},(8,4)
(\partial)/(\partial y)((x+2)y)	\frac{\partial\:}{\partial\:y}((x+2)y)
(\partial)/(\partial x)(ln(x/2))	\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{2}))
derivative of \sqrt[7]{ln(x})	\frac{d}{dx}(\sqrt[7]{\ln(x)})
(dy)/(dx)=2^{4x-y}	\frac{dy}{dx}=2^{4x-y}
integral of 3x(x^2+3)	\int\:3x(x^{2}+3)dx
f(x)=x*ln(2x+1)	f(x)=x\cdot\:\ln(2x+1)
slope of 4sin(5X)	slope\:4\sin(5X)
integral of e^{2t}cos(t)	\int\:e^{2t}\cos(t)dt
derivative of 1/4 x^2	\frac{d}{dx}(\frac{1}{4}x^{2})
limit as h approaches 0 of sin(h)	\lim\:_{h\to\:0}(\sin(h))
d/(dy)(2xy^2)	\frac{d}{dy}(2xy^{2})
taylor (e^x-1)sin(-2x)	taylor\:(e^{x}-1)\sin(-2x)
integral of e^{7x}-1/(sqrt(x))	\int\:e^{7x}-\frac{1}{\sqrt{x}}dx
(dy)/(dx)=(5y+y^2)	\frac{dy}{dx}=(5y+y^{2})
integral of 1/(p(1-0.05p))	\int\:\frac{1}{p(1-0.05p)}dp
integral of 12sec^2(6x)tan(6x)	\int\:12\sec^{2}(6x)\tan(6x)dx
integral of 1/((x+1)(x+5))	\int\:\frac{1}{(x+1)(x+5)}dx
integral of tan^3(9x)sec(9x)	\int\:\tan^{3}(9x)\sec(9x)dx
derivative of y=cos(a^9+x^9)	derivative\:y=\cos(a^{9}+x^{9})
tangent of y=6x^2-3x,\at 1,5	tangent\:y=6x^{2}-3x,\at\:1,5
slope ofintercept (8.1)(4.1)	slopeintercept\:(8.1)(4.1)
(\partial)/(\partial y)(x^4+2x^2y)	\frac{\partial\:}{\partial\:y}(x^{4}+2x^{2}y)
derivative of (x^2+1^{1/2})	\frac{d}{dx}((x^{2}+1)^{\frac{1}{2}})
sum from n=0 to infinity of nsin(npi)	\sum\:_{n=0}^{\infty\:}n\cdot\:\sin(n\cdot\:π)
integral of (x^2-5x+6)/(x-2)	\int\:\frac{x^{2}-5x+6}{x-2}dx
integral of ((x+5))/(\sqrt[3]{x+9)}	\int\:\frac{(x+5)}{\sqrt[3]{x+9}}dx
tangent of f(x)=sqrt(9-x),\at x=0	tangent\:f(x)=\sqrt{9-x},\at\:x=0
limit as x approaches-1 of 3x^2+2x-1	\lim\:_{x\to\:-1}(3x^{2}+2x-1)
inverse oflaplace 6/(s^2(7s+1))	inverselaplace\:\frac{6}{s^{2}(7s+1)}
integral of 10x(4x^2-1)^9	\int\:10x(4x^{2}-1)^{9}dx
taylor ln(-2x-5),-5	taylor\:\ln(-2x-5),-5
derivative of (e^x/(sqrt(x)))	\frac{d}{dx}(\frac{e^{x}}{\sqrt{x}})
integral of (8x+e^x)sqrt(4x^2+e^x)	\int\:(8x+e^{x})\sqrt{4x^{2}+e^{x}}dx
(d^2)/(dx^2)(3x^2cos(8x))	\frac{d^{2}}{dx^{2}}(3x^{2}\cos(8x))
limit as x approaches 1 of (ln(x))^{x-1}	\lim\:_{x\to\:1}((\ln(x))^{x-1})
(dy)/(dx)=9x^2-12x	\frac{dy}{dx}=9x^{2}-12x
inverse oflaplace 1/((s-1)(s-2)(s-3))	inverselaplace\:\frac{1}{(s-1)(s-2)(s-3)}
derivative of e^{4x^3-18x^2}	derivative\:e^{4x^{3}-18x^{2}}
(\partial)/(\partial y)(3x^2y+2xy^2)	\frac{\partial\:}{\partial\:y}(3x^{2}y+2xy^{2})
integral of (2x+1)^2	\int\:(2x+1)^{2}dx
derivative of e^{-x}cos(y+e^{-y}cos(x))	\frac{d}{dx}(e^{-x}\cos(y)+e^{-y}\cos(x))
integral of-16sin(4x)	\int\:-16\sin(4x)dx
integral of (x^2-3)^5(2x)	\int\:(x^{2}-3)^{5}(2x)dx
integral of (cot(x))/(cos(x))	\int\:\frac{\cot(x)}{\cos(x)}dx
(1+x)y^'=y+x	(1+x)y^{\prime\:}=y+x
derivative of y=3arctan(x+sqrt(1+x^2))	derivative\:y=3\arctan(x+\sqrt{1+x^{2}})
integral of (e^{2x}sin(3x))	\int\:(e^{2x}\sin(3x))dx
derivative of x(x-1)^2	derivative\:x(x-1)^{2}
integral of 3xsin(2x)	\int\:3x\sin(2x)dx
derivative of (2xcos(x^2)/(1+sin(x^2)))	\frac{d}{dx}(\frac{2x\cos(x^{2})}{1+\sin(x^{2})})
f^'(x)=x^3	f^{\prime\:}(x)=x^{3}
maclaurin 1/(x+5)	maclaurin\:\frac{1}{x+5}
derivative of x+iy(x)	\frac{d}{dx}(x+iy(x))
(x+y)^2dx+(2xy+x^2-5)dy=0,y(1)=1	(x+y)^{2}dx+(2xy+x^{2}-5)dy=0,y(1)=1
integral from 0 to 8 of 1/(x^2+16)	\int\:_{0}^{8}\frac{1}{x^{2}+16}dx
f(X)=(ln(2))/(ln(X))	f(X)=\frac{\ln(2)}{\ln(X)}
-derivative of (dy/(dx))+400y=0	-\frac{d}{dx}(\frac{dy}{dx})+400y=0
integral of sin^9(x)cos(x)	\int\:\sin^{9}(x)\cos(x)dx
integral of (sin(pix))/pi	\int\:\frac{\sin(πx)}{π}dx
(\partial)/(\partial {g)}(2pisqrt(l/({g))})	\frac{\partial\:}{\partial\:{g}}(2π\sqrt{\frac{l}{{g}}})
laplacetransform (t-1)^2	laplacetransform\:(t-1)^{2}
integral of e^{4ln(x)}	\int\:e^{4\ln(x)}dx
derivative of (x^3/2)	\frac{d}{dx}(\frac{x^{3}}{2})
limit as x approaches 2+of 4x^2-2x+3	\lim\:_{x\to\:2+}(4x^{2}-2x+3)
tangent of f(x)=7sqrt(x),\at x=25	tangent\:f(x)=7\sqrt{x},\at\:x=25
derivative of ln(x^{3/2})	derivative\:\ln(x^{\frac{3}{2}})
inverse oflaplace (10)/(s(s+2))	inverselaplace\:\frac{10}{s(s+2)}
tangent of f(x)=4x^2+5x+1,(0,1)	tangent\:f(x)=4x^{2}+5x+1,(0,1)
derivative of y=(4-3x)/(3x^2+x)	derivative\:y=\frac{4-3x}{3x^{2}+x}
slope of 630-4.9t^2	slope\:630-4.9t^{2}
limit as x approaches pi/2 of 8sec(x)	\lim\:_{x\to\:\frac{π}{2}}(8\sec(x))
y^'=y(xy^4+3)	y^{\prime\:}=y(xy^{4}+3)
y^'-(2y)/x =1	y^{\prime\:}-\frac{2y}{x}=1
9^'	9^{\prime\:}
limit as x approaches-infinity of ((1-1)^{e-x}+(2-2)x^4+1)/(x^2)	\lim\:_{x\to\:-\infty\:}(\frac{(1-1)^{e-x}+(2-2)x^{4}+1}{x^{2}})
limit as x approaches 0 of (x2^x)/(2x-1)	\lim\:_{x\to\:0}(\frac{x2^{x}}{2x-1})
limit as x approaches infinity+of (5-2x)/(3x-7)	\lim\:_{x\to\:\infty\:+}(\frac{5-2x}{3x-7})
integral of 1/2 x^{4/3}	\int\:\frac{1}{2}x^{\frac{4}{3}}dx
sum from n=0 to infinity of \sqrt[n]{n}	\sum\:_{n=0}^{\infty\:}\sqrt[n]{n}
tangent of y=(x^2)/(x+9),(1, 1/10)	tangent\:y=\frac{x^{2}}{x+9},(1,\frac{1}{10})

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