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Popular Calculus Problems

limit as x approaches-2 of-4x^3+4x+5	\lim\:_{x\to\:-2}(-4x^{3}+4x+5)
area 1/x , 1/(x^2),x=2	area\:\frac{1}{x},\frac{1}{x^{2}},x=2
inverse oflaplace 2/(3s+5)	inverselaplace\:\frac{2}{3s+5}
integral from 0 to 7 of sqrt(1+x^2)	\int\:_{0}^{7}\sqrt{1+x^{2}}dx
(\partial)/(\partial z)(cos(z))	\frac{\partial\:}{\partial\:z}(\cos(z))
derivative of (dy/(dx))+y=cos(x)	\frac{d}{dx}(\frac{dy}{dx})+y=\cos(x)
integral of sec(x/3)-csc(5x)	\int\:\sec(\frac{x}{3})-\csc(5x)dx
derivative of sec^5(x^7+4x^6)	\frac{d}{dx}(\sec^{5}(x^{7}+4x)^{6})
derivative of x^{2020}+1/3 x^3-4x^2	derivative\:x^{2020}+\frac{1}{3}x^{3}-4x^{2}
(\partial)/(\partial y)(xe^{2x+3y})	\frac{\partial\:}{\partial\:y}(xe^{2x+3y})
integral of ((cos(x))/(sin^2(x)))	\int\:(\frac{\cos(x)}{\sin^{2}(x)})dx
integral of u	\int\:udu
(ln^3(x))^'	(\ln^{3}(x))^{\prime\:}
integral of (sin(x))^5(cos(x))^3	\int\:(\sin(x))^{5}(\cos(x))^{3}dx
(d^2)/(dx^2)(sqrt(1+1/(x^4)))	\frac{d^{2}}{dx^{2}}(\sqrt{1+\frac{1}{x^{4}}})
derivative of 3/x	derivative\:\frac{3}{x}
((dx)/(dy))+3xy^3=0	(\frac{dx}{dy})+3xy^{3}=0
derivative of sqrt(x+19)	derivative\:\sqrt{x+19}
derivative of t^{1/3}	derivative\:t^{\frac{1}{3}}
limit as x approaches pi of csc^2(x)	\lim\:_{x\to\:π}(\csc^{2}(x))
(\partial)/(\partial x)(1/b*(a-p(b,x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{b}\cdot\:(a-p(b,x)))
derivative of (3x/(9-x^2))	\frac{d}{dx}(\frac{3x}{9-x^{2}})
factor t^3-3t	factor\:t^{3}-3t
limit as x approaches 3 of 2/(x+2)	\lim\:_{x\to\:3}(\frac{2}{x+2})
integral from 0 to pi/4 of 25sin^2(x)	\int\:_{0}^{\frac{π}{4}}25\sin^{2}(x)dx
derivative of (3^x/(ln(3)))	\frac{d}{dx}(\frac{3^{x}}{\ln(3)})
limit as x approaches 0 of x/(x^2-7x+1)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-7x+1})
y^'=(x^2y-y)/(y+1)	y^{\prime\:}=\frac{x^{2}y-y}{y+1}
integral of sqrt(2x-5)	\int\:\sqrt{2x-5}dx
limit as x approaches 2 of (3-x)^2	\lim\:_{x\to\:2}((3-x)^{2})
integral of (3x^2-7x)^5(6x-7)	\int\:(3x^{2}-7x)^{5}(6x-7)dx
integral of x(e^{(3x-2)}+5)	\int\:x(e^{(3x-2)}+5)dx
maclaurin tan(θ)	maclaurin\:\tan(θ)
limit as x approaches 9+of (\|x-9\|)/(x-9)	\lim\:_{x\to\:9+}(\frac{\left\|x-9\right\|}{x-9})
limit as x approaches 0 of cot(pi/2-x)	\lim\:_{x\to\:0}(\cot(\frac{π}{2}-x))
integral of 4sin(x)cos^2(x)	\int\:4\sin(x)\cos^{2}(x)dx
integral from 2 to 3 of (28)/(sqrt(3-x))	\int\:_{2}^{3}\frac{28}{\sqrt{3-x}}dx
integral of 1 (x^2)	\int\:\frac{d}{1}(x^{2})dx
integral of 1/(sqrt(12-x^2))	\int\:\frac{1}{\sqrt{12-x^{2}}}dx
derivative of 3x^2-6x	\frac{d}{dx}(3x^{2}-6x)
derivative of y=sin(pix)	derivative\:y=\sin(πx)
limit as x approaches-1 of (3x-7)/(2x+5)	\lim\:_{x\to\:-1}(\frac{3x-7}{2x+5})
limit as x approaches-infinity of 2/x+1	\lim\:_{x\to\:-\infty\:}(\frac{2}{x}+1)
limit as x approaches 0 of 1+x^3	\lim\:_{x\to\:0}(1+x^{3})
derivative of 1-cos(2x)	derivative\:1-\cos(2x)
derivative of f(x)=(x^2-7)(x^2+6)	derivative\:f(x)=(x^{2}-7)(x^{2}+6)
(\partial)/(\partial y)(e^xcos(y))	\frac{\partial\:}{\partial\:y}(e^{x}\cos(y))
inverse oflaplace 5/((s^2+5^2)^2)	inverselaplace\:\frac{5}{(s^{2}+5^{2})^{2}}
sum from n=3 to infinity of (3^n)/(11^n)	\sum\:_{n=3}^{\infty\:}\frac{3^{n}}{11^{n}}
integral of (sqrt(y^2-49))/y	\int\:\frac{\sqrt{y^{2}-49}}{y}dy
integral of sin(12x)cos(5x)	\int\:\sin(12x)\cos(5x)dx
integral from-infinity to 0 of 1/(5-4x)	\int\:_{-\infty\:}^{0}\frac{1}{5-4x}dx
derivative of ln(13x+13)	\frac{d}{dx}(\ln(13x)+13)
(dy)/(dx)=(y^2+3xsqrt(x^2+y^2))/(xy)	\frac{dy}{dx}=\frac{y^{2}+3x\sqrt{x^{2}+y^{2}}}{xy}
limit as x approaches 0+of-csc^2(x)	\lim\:_{x\to\:0+}(-\csc^{2}(x))
derivative of x^2(x+3^{10})	\frac{d}{dx}(x^{2}(x+3)^{10})
area y=x^3-2x^2+2,y=3x^2+3x-13	area\:y=x^{3}-2x^{2}+2,y=3x^{2}+3x-13
derivative of f^{-1}(x)=2x+ln(x+1)	\frac{d}{dx}f^{-1}(x)=2x+\ln(x+1)
integral of (1-x)^{-2}	\int\:(1-x)^{-2}dx
(\partial ^2)/(\partial x\partial y)(xy^2-6x^2-3y^2)	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(xy^{2}-6x^{2}-3y^{2})
slope ofintercept (7.4)(3.8)	slopeintercept\:(7.4)(3.8)
derivative of sqrt(x^2+6x-1)	derivative\:\sqrt{x^{2}+6x-1}
integral of-2x^4tan(x^5)	\int\:-2x^{4}\tan(x^{5})dx
(\partial)/(\partial y)(4x^3y^2+2)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{2}+2)
x^2y^{''}+xy^'-9y=x^3+1	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-9y=x^{3}+1
sum from n=0 to infinity of (1+2/n)^{3n}	\sum\:_{n=0}^{\infty\:}(1+\frac{2}{n})^{3n}
derivative of x^a(1-x^b)	\frac{d}{dx}(x^{a}(1-x)^{b})
limit as x approaches-8 of (-5x)/(x+8)	\lim\:_{x\to\:-8}(\frac{-5x}{x+8})
integral of v/(0.122-0.0007v^2)	\int\:\frac{v}{0.122-0.0007v^{2}}dv
integral of (sqrt(9x^2-49))/(x^3)	\int\:\frac{\sqrt{9x^{2}-49}}{x^{3}}dx
laplacetransform 7(t-7)	laplacetransform\:7(t-7)
integral of (x^4+x+1+x^{-1}+x^{-2})	\int\:(x^{4}+x+1+x^{-1}+x^{-2})dx
integral from 9 to 16 of (sqrt(x))/(x-4)	\int\:_{9}^{16}\frac{\sqrt{x}}{x-4}dx
derivative of \sqrt[7]{t}-7e^t	derivative\:\sqrt[7]{t}-7e^{t}
derivative of f(x)=\|4+7x\|	derivative\:f(x)=\left\|4+7x\right\|
longdivision (2x-1)/(2x+1)	longdivision\:\frac{2x-1}{2x+1}
derivative of f(x)=(x+6)^2	derivative\:f(x)=(x+6)^{2}
derivative of ax+ln(x)	\frac{d}{dx}(ax+\ln(x))
integral of (x^2+y^2)^{1/2}	\int\:(x^{2}+y^{2})^{\frac{1}{2}}dx
integral of-xe^{-x}	\int\:-xe^{-x}dx
integral of (4x+7)	\int\:(4x+7)dx
limit as x approaches 3 of 8	\lim\:_{x\to\:3}(8)
derivative of \sqrt[4]{x^3+4x^2+7}	\frac{d}{dx}(\sqrt[4]{x^{3}+4x^{2}+7})
derivative of 3x*sin(x)	\frac{d}{dx}(3x\cdot\:\sin(x))
derivative of ((sqrt(x)))/(4+x)	derivative\:\frac{(\sqrt{x})}{4+x}
derivative of 0.49489nv^2+1500*n/v	derivative\:0.49489nv^{2}+1500\cdot\:\frac{n}{v}
integral of 3x^2+8x	\int\:3x^{2}+8xdx
(\partial)/(\partial x)(6xy^2)	\frac{\partial\:}{\partial\:x}(6xy^{2})
(\partial)/(\partial x)(sin(2y-5x))	\frac{\partial\:}{\partial\:x}(\sin(2y-5x))
limit as x approaches 2 of 2x^2-7x+5	\lim\:_{x\to\:2}(2x^{2}-7x+5)
integral from 0 to 1/3 of xarcsin(3x)	\int\:_{0}^{\frac{1}{3}}x\arcsin(3x)dx
derivative of (e^x)/(9x^2)	derivative\:\frac{e^{x}}{9x^{2}}
derivative of cot(7x-3)	\frac{d}{dx}(\cot(7x-3))
limit as x approaches-6 of (x^2-9)/(6-x)	\lim\:_{x\to\:-6}(\frac{x^{2}-9}{6-x})
integral of (x+4)^9	\int\:(x+4)^{9}dx
f(t)=e^t*sin(t)	f(t)=e^{t}\cdot\:\sin(t)
(dy)/(dx)=4y(8-y)	\frac{dy}{dx}=4y(8-y)
integral of 1/((4x-5)^2)	\int\:\frac{1}{(4x-5)^{2}}dx
sum from n=1 to infinity of (1+5/n)^n	\sum\:_{n=1}^{\infty\:}(1+\frac{5}{n})^{n}
derivative of f(x)=3xsin^2(x)	derivative\:f(x)=3x\sin^{2}(x)

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