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Popular Calculus Problems

derivative of 25e^{5x}	\frac{d}{dx}(25e^{5x})
derivative of f(x)=sin^3(3x)	derivative\:f(x)=\sin^{3}(3x)
integral of 25sin^2(x)	\int\:25\sin^{2}(x)dx
limit as x approaches 9 of 1-4x^3	\lim\:_{x\to\:9}(1-4x^{3})
derivative of f(x)=arctan(sin(4x))	derivative\:f(x)=\arctan(\sin(4x))
integral of xye^{xy^2}	\int\:xye^{xy^{2}}dy
derivative of (6x/(x^2-4))	\frac{d}{dx}(\frac{6x}{x^{2}-4})
integral of 1/(2x+x^3)	\int\:\frac{1}{2x+x^{3}}dx
integral of 6/(sqrt(x^2+16))	\int\:\frac{6}{\sqrt{x^{2}+16}}dx
derivative of ln(3x^2-2x)	\frac{d}{dx}(\ln(3x^{2}-2x))
derivative of ln(15)	derivative\:\ln(15)
integral from 0 to 4 of 1/(sqrt(16+t^2))	\int\:_{0}^{4}\frac{1}{\sqrt{16+t^{2}}}dt
integral of 8x(4x^2-3)^5	\int\:8x(4x^{2}-3)^{5}dx
integral of x/(x^2+4x+13)	\int\:\frac{x}{x^{2}+4x+13}dx
derivative of 4x	derivative\:4x
derivative of G(t)=(1-4t)/(5+t)	derivative\:G(t)=\frac{1-4t}{5+t}
derivative of (-cos(2x)/2)	\frac{d}{dx}(\frac{-\cos(2x)}{2})
limit as x approaches-1+of 3/(x^2-1)	\lim\:_{x\to\:-1+}(\frac{3}{x^{2}-1})
derivative of (3x+5^3)	\frac{d}{dx}((3x+5)^{3})
integral of ((z^2+1)^2)/(sqrt(z))	\int\:\frac{(z^{2}+1)^{2}}{\sqrt{z}}dz
derivative of 7x+6	\frac{d}{dx}(7x+6)
integral of csc(9x)	\int\:\csc(9x)dx
integral of (3x)/(x+4)	\int\:\frac{3x}{x+4}dx
derivative of sqrt(4x-2)	\frac{d}{dx}(\sqrt{4x-2})
integral of (x^3+4x+3)/(x^4+5x^2+4)	\int\:\frac{x^{3}+4x+3}{x^{4}+5x^{2}+4}dx
integral of (sec(5x)+csc(5x))^2	\int\:(\sec(5x)+\csc(5x))^{2}dx
sum from n=8 to infinity of cos(1/(n^3))	\sum\:_{n=8}^{\infty\:}\cos(\frac{1}{n^{3}})
derivative of f(x)=sin(3ln(x))	derivative\:f(x)=\sin(3\ln(x))
derivative of y=sqrt(11x+\sqrt{11x+\sqrt{11x)}}	derivative\:y=\sqrt{11x+\sqrt{11x+\sqrt{11x}}}
integral of x^2*cos(x)	\int\:x^{2}\cdot\:\cos(x)dx
integral of (3x+4)/((x^2+4)(3-x))	\int\:\frac{3x+4}{(x^{2}+4)(3-x)}dx
derivative of 6cos(4x)	\frac{d}{dx}(6\cos(4x))
integral of cos^2(X)	\int\:\cos^{2}(X)dX
xy^'+(1+x)y=e^{-x}sin(2x)	xy^{\prime\:}+(1+x)y=e^{-x}\sin(2x)
derivative of f(x)=[(4x^2+3x)cos(x)]	derivative\:f(x)=[(4x^{2}+3x)\cos(x)]
(\partial)/(\partial x)(x^2-4xy+3y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-4xy+3y^{2})
integral from 0 to 2pi of e^{ix}	\int\:_{0}^{2π}e^{ix}dx
integral of e^{x^7}	\int\:e^{x^{7}}dx
integral of arcot(x)	\int\:ar\cot(x)dx
limit as x approaches 0 of ((5^x-1))/x	\lim\:_{x\to\:0}(\frac{(5^{x}-1)}{x})
2y^'=y	2y^{\prime\:}=y
derivative of e^pi	derivative\:e^{π}
derivative of 8csc(x+2)	\frac{d}{dx}(8\csc(x)+2)
integral of 2xe^{3x}	\int\:2xe^{3x}dx
area x+y^2=56,x+y=0	area\:x+y^{2}=56,x+y=0
integral of (2-3x)^3	\int\:(2-3x)^{3}dx
derivative of (ln^2(x)/x)	\frac{d}{dx}(\frac{\ln^{2}(x)}{x})
integral of \sqrt[3]{3t}	\int\:\sqrt[3]{3t}dt
integral of 9cos(x)	\int\:9\cos(x)dx
y(2xy+1)dx-xdy=0	y(2xy+1)dx-xdy=0
integral of (e^{bx}*x)	\int\:(e^{bx}\cdot\:x)dx
derivative of f(x)=(x-6)(3x+5)	derivative\:f(x)=(x-6)(3x+5)
(\partial)/(\partial x)(sin(3x)cos(3y))	\frac{\partial\:}{\partial\:x}(\sin(3x)\cos(3y))
integral of cos(x/2)	\int\:\cos(\frac{x}{2})dx
integral of 4/(x^3-4x^2+8x)	\int\:\frac{4}{x^{3}-4x^{2}+8x}dx
derivative of x^2csc(5x)	\frac{d}{dx}(x^{2}\csc(5x))
integral of cot(x)csc^2(x)	\int\:\cot(x)\csc^{2}(x)dx
limit as x approaches pi/4 of csc(x)	\lim\:_{x\to\:\frac{π}{4}}(\csc(x))
(\partial)/(\partial x)(2x^y+8y^x+10)	\frac{\partial\:}{\partial\:x}(2x^{y}+8y^{x}+10)
(d^2y)/(dx^2)+14(dy)/(dx)+49y=0	\frac{d^{2}y}{dx^{2}}+14\frac{dy}{dx}+49y=0
integral of 5sec(x)	\int\:5\sec(x)dx
integral from 0 to infinity of ye^{-y}	\int\:_{0}^{\infty\:}ye^{-y}dy
(dP)/(dt)=P(3-P)-9/4	\frac{dP}{dt}=P(3-P)-\frac{9}{4}
inverse oflaplace 1/(9s-1)	inverselaplace\:\frac{1}{9s-1}
limit as x approaches 0 of (cos(2x))/x	\lim\:_{x\to\:0}(\frac{\cos(2x)}{x})
(\partial)/(\partial x)(sin(7x-4y))	\frac{\partial\:}{\partial\:x}(\sin(7x-4y))
(d^4)/(dx^4)(16e^{x^2})	\frac{d^{4}}{dx^{4}}(16e^{x^{2}})
derivative of (8x+3/(0.2x^2+1))	\frac{d}{dx}(\frac{8x+3}{0.2x^{2}+1})
y^'= t/(ye^{-y^2)+ye^{-y^2}t^2}	y^{\prime\:}=\frac{t}{ye^{-y^{2}}+ye^{-y^{2}}t^{2}}
derivative of-(14/(x^4))	\frac{d}{dx}(-\frac{14}{x^{4}})
derivative of (((3x^2))/((2x+4)))^3	derivative\:(\frac{(3x^{2})}{(2x+4)})^{3}
derivative of (-9x-1/(-6x+2))	\frac{d}{dx}(\frac{-9x-1}{-6x+2})
inverse oflaplace 1/((s-1)^3)	inverselaplace\:\frac{1}{(s-1)^{3}}
integral of (sqrt(1-x))/(1-sqrt(x))	\int\:\frac{\sqrt{1-x}}{1-\sqrt{x}}dx
integral of cosh^2(x-1)sinh(x-1)	\int\:\cosh^{2}(x-1)\sinh(x-1)dx
derivative of ln(x^{ln(x}))	\frac{d}{dx}(\ln(x^{\ln(x)}))
derivative of f(x)=x^7cos(x)	derivative\:f(x)=x^{7}\cos(x)
integral of (2x+5)^3	\int\:(2x+5)^{3}dx
integral from 0 to 1 of 3/(x^5)	\int\:_{0}^{1}\frac{3}{x^{5}}dx
integral of (e^x+sin(x)+x)	\int\:(e^{x}+\sin(x)+x)dx
integral of 6x-x^2	\int\:6x-x^{2}dx
derivative of 3x^2-2x-8	\frac{d}{dx}(3x^{2}-2x-8)
sqrt(y)dx+(x-8)dy=0,y(9)=36	\sqrt{y}dx+(x-8)dy=0,y(9)=36
integral of 1/(x(1-sqrt(x))^2)	\int\:\frac{1}{x(1-\sqrt{x})^{2}}dx
integral from 0 to 4 of sqrt(x)	\int\:_{0}^{4}\sqrt{x}dx
derivative of (132/(x^{13)})	\frac{d}{dx}(\frac{132}{x^{13}})
integral from 0 to infinity of 3xe^{-3x}	\int\:_{0}^{\infty\:}3xe^{-3x}dx
limit as x approaches 0 of (csc(x))/(3x)	\lim\:_{x\to\:0}(\frac{\csc(x)}{3x})
(\partial)/(\partial z)(x^2y+yz^3+z^5x)	\frac{\partial\:}{\partial\:z}(x^{2}y+yz^{3}+z^{5}x)
integral of x^3sqrt(25+x^2)	\int\:x^{3}\sqrt{25+x^{2}}dx
limit as x approaches 0 of (g(x))/x	\lim\:_{x\to\:0}(\frac{g(x)}{x})
(dy)/(dx)=xe^{x-2y}	\frac{dy}{dx}=xe^{x-2y}
integral of x*ln(2x)	\int\:x\cdot\:\ln(2x)dx
derivative of 2x^3-21x^2+60x	\frac{d}{dx}(2x^{3}-21x^{2}+60x)
integral of 1/(sqrt(4-25x^2))	\int\:\frac{1}{\sqrt{4-25x^{2}}}dx
integral from 0 to 1 of x/(x^2+9)	\int\:_{0}^{1}\frac{x}{x^{2}+9}dx
integral of 1/((3x+1)^2)	\int\:\frac{1}{(3x+1)^{2}}dx
integral from 0 to infinity of t^2	\int\:_{0}^{\infty\:}t^{2}dt
derivative of 1/(4x-3)	derivative\:\frac{1}{4x-3}
integral from 7 to 9 of (x^2+2x-4)	\int\:_{7}^{9}(x^{2}+2x-4)dx

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