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Popular Calculus Problems

derivative of 2(x^2+y^2^2)	\frac{d}{dx}(2(x^{2}+y^{2})^{2})
integral of cos(3x)cos(9x)	\int\:\cos(3x)\cos(9x)dx
integral from 0 to 3 of-2x^2	\int\:_{0}^{3}-2x^{2}dx
(\partial)/(\partial y)(3y^2x^4)	\frac{\partial\:}{\partial\:y}(3y^{2}x^{4})
derivative of cos(tan(3x))	\frac{d}{dx}(\cos(\tan(3x)))
y^{''}-y^'-12y=-5e^{3t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-y^{\prime\:}-12y=-5e^{3t},y(0)=0,y^{\prime\:}(0)=0
derivative of sqrt(-2x+4)	\frac{d}{dx}(\sqrt{-2x+4})
limit as x approaches 3-of x	\lim\:_{x\to\:3-}(x)
derivative of (-x^2-2x-2^3)	\frac{d}{dx}((-x^{2}-2x-2)^{3})
integral of 1/(sqrt(n+1))	\int\:\frac{1}{\sqrt{n+1}}
derivative of (6x^3+2x+9)(x^2+6)	derivative\:(6x^{3}+2x+9)(x^{2}+6)
xy^'+y=2xy^2	xy^{\prime\:}+y=2xy^{2}
integral of (x(3-5x))/((3x-1)(x-1)^2)	\int\:\frac{x(3-5x)}{(3x-1)(x-1)^{2}}dx
area 7x+y^2=15,x=2y	area\:7x+y^{2}=15,x=2y
area y=cos(3x),(0.4,0.6)	area\:y=\cos(3x),(0.4,0.6)
limit as x approaches-3 of 2x+5	\lim\:_{x\to\:-3}(2x+5)
integral of (-6x^2)/(x^4-1)	\int\:\frac{-6x^{2}}{x^{4}-1}dx
integral of xln^2(x)	\int\:x\ln^{2}(x)dx
integral of x/((x^2+1)^{23/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{23}{2}}}dx
limit as x approaches 10-of ln(100-x^2)	\lim\:_{x\to\:10-}(\ln(100-x^{2}))
limit as x approaches infinity+of ix	\lim\:_{x\to\:\infty\:+}(ix)
integral from 0 to pi/2 of 1	\int\:_{0}^{\frac{π}{2}}1
derivative of 2/(x+8)	\frac{d}{dx}(\frac{2}{x+8})
integral of ((50x+6))/((7x+1)(x-1))	\int\:\frac{(50x+6)}{(7x+1)(x-1)}dx
derivative of g(u)=sqrt(u+1)(1-8u^2)^7	derivative\:g(u)=\sqrt{u+1}(1-8u^{2})^{7}
derivative of ln(1+(ln(2)/x))	\frac{d}{dx}(\ln(1+\frac{\ln(2)}{x}))
integral from 0 to 2 of 2x^2-x^3	\int\:_{0}^{2}2x^{2}-x^{3}dx
integral of (x-1)/((x^2+4x+5)^2)	\int\:\frac{x-1}{(x^{2}+4x+5)^{2}}dx
limit as x approaches infinity of (-2)/x	\lim\:_{x\to\:\infty\:}(\frac{-2}{x})
integral of 4sin^2(5x+3)+10x^{2/3}-1	\int\:4\sin^{2}(5x+3)+10x^{\frac{2}{3}}-1dx
derivative of (x+1/(3x+2))	\frac{d}{dx}(\frac{x+1}{3x+2})
expand 6x(x^2-5)^2	expand\:6x(x^{2}-5)^{2}
derivative of (9x/(x+4))	\frac{d}{dx}(\frac{9x}{x+4})
(dy)/(dx)=4y^2	\frac{dy}{dx}=4y^{2}
slope of f(x)=3x-x^2	slope\:f(x)=3x-x^{2}
derivative of f(x)=9(5^x)	derivative\:f(x)=9(5^{x})
derivative of f(x)=cx^{-6}	derivative\:f(x)=cx^{-6}
derivative of ln(e^{ax+b})	\frac{d}{dx}(\ln(e^{ax+b}))
derivative of y=0.4x^{1.2}	derivative\:y=0.4x^{1.2}
integral from 0 to 1 of sqrt(x^2-2x+1)	\int\:_{0}^{1}\sqrt{x^{2}-2x+1}dx
tangent of f(x)=sqrt(3x+1),(5,4)	tangent\:f(x)=\sqrt{3x+1},(5,4)
derivative of (x^2+1/(x-1))	\frac{d}{dx}(\frac{x^{2}+1}{x-1})
t^2y^{''}+2ty^'-6y=0	t^{2}y^{\prime\:\prime\:}+2ty^{\prime\:}-6y=0
integral of 1/(3+t)	\int\:\frac{1}{3+t}dt
y^'=3yx^2-3x^2	y^{\prime\:}=3yx^{2}-3x^{2}
limit as x approaches-3 of 2/(x^2)	\lim\:_{x\to\:-3}(\frac{2}{x^{2}})
integral of-64(1+4t)^{-3}	\int\:-64(1+4t)^{-3}dt
maclaurin e^x-e^{-x}	maclaurin\:e^{x}-e^{-x}
derivative of-2sin(2x)	derivative\:-2\sin(2x)
xy^'+y=4xy^2	xy^{\prime\:}+y=4xy^{2}
derivative of x/(x^{-1+13})	\frac{d}{dx}(\frac{x}{x^{-1}+13})
derivative of 2^{50}	derivative\:2^{50}
limit as x approaches 2pi of ln(cos(x))	\lim\:_{x\to\:2π}(\ln(\cos(x)))
derivative of 4xsin(x)	derivative\:4x\sin(x)
integral of 1/(sec(2x))	\int\:\frac{1}{\sec(2x)}dx
limit as x approaches 11+of sqrt(x-11)	\lim\:_{x\to\:11+}(\sqrt{x-11})
(\partial)/(\partial w)(1/(2sqrt(v-w)))	\frac{\partial\:}{\partial\:w}(\frac{1}{2\sqrt{v-w}})
integral of cosh^3(x)	\int\:\cosh^{3}(x)dx
integral from-7 to 7 of sqrt(49-x^2)	\int\:_{-7}^{7}\sqrt{49-x^{2}}dx
(\partial)/(\partial x)(x^3sec^2(xy))	\frac{\partial\:}{\partial\:x}(x^{3}\sec^{2}(xy))
(\partial)/(\partial x)(13x+6xy^3)	\frac{\partial\:}{\partial\:x}(13x+6xy^{3})
(y^{11}x)(dy)/(dx)=1+x	(y^{11}x)\frac{dy}{dx}=1+x
integral from-infinity to-1 of e^{-10t}	\int\:_{-\infty\:}^{-1}e^{-10t}dt
derivative of-(3x^2/(2y))	\frac{d}{dx}(-\frac{3x^{2}}{2y})
integral of e^{rt}	\int\:e^{rt}dt
integral of 2xe^{x^2+y^2}	\int\:2xe^{x^{2}+y^{2}}dx
limit as x approaches 2+of 1/(x-2)-1/(sqrt(x-2))	\lim\:_{x\to\:2+}(\frac{1}{x-2}-\frac{1}{\sqrt{x-2}})
integral of 1/(u(1-u))	\int\:\frac{1}{u(1-u)}du
limit as x approaches 1 of (x^2-x)/x	\lim\:_{x\to\:1}(\frac{x^{2}-x}{x})
integral of (-3sec^2(x))	\int\:(-3\sec^{2}(x))dx
(\partial)/(\partial y)(xsqrt(1+y^2))	\frac{\partial\:}{\partial\:y}(x\sqrt{1+y^{2}})
(\partial)/(\partial y)(sin(x)cos(7y))	\frac{\partial\:}{\partial\:y}(\sin(x)\cos(7y))
(\partial}{\partial u}(\frac{u-v)/2)	\frac{\partial\:}{\partial\:u}(\frac{u-v}{2})
d/(d{y)}({y}{z})	\frac{d}{d{y}}({y}{z})
limit as x approaches 2 of-x^2+3	\lim\:_{x\to\:2}(-x^{2}+3)
integral of 1/((x-4)ln(x-4))	\int\:\frac{1}{(x-4)\ln(x-4)}dx
derivative of ax^2+bx+c	\frac{d}{dx}(ax^{2}+bx+c)
derivative of kx^4(x_{0}-x)	\frac{d}{dx}(kx^{4}(x_{0}-x))
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}
(1/(cos(x)))^'	(\frac{1}{\cos(x)})^{\prime\:}
derivative of 2arcsin(x^4)	\frac{d}{dx}(2\arcsin(x^{4}))
derivative of sin(1)	derivative\:\sin(1)
integral of (x+4)/(x^2+4x+4)	\int\:\frac{x+4}{x^{2}+4x+4}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)
derivative of arcsin(sqrt(sin(x)))	\frac{d}{dx}(\arcsin(\sqrt{\sin(x)}))
(df)/(dx)=tan^3(x)-sec^3(x)	\frac{df}{dx}=\tan^{3}(x)-\sec^{3}(x)
sum from n=1 to infinity of (80)/(8^n)	\sum\:_{n=1}^{\infty\:}\frac{80}{8^{n}}
integral of 4e^{x+y}	\int\:4e^{x+y}
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 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}

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