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Popular Calculus Problems

derivative of f(x)=tan(4)x^3	derivative\:f(x)=\tan(4)x^{3}
derivative of y=(sqrt(x))^{5x}	derivative\:y=(\sqrt{x})^{5x}
integral of 9(3x-2)^2	\int\:9(3x-2)^{2}dx
limit as x approaches c of \sqrt[3]{f(x)}	\lim\:_{x\to\:c}(\sqrt[3]{f(x)})
derivative of f(x)= 3/(sqrt(x+5))	derivative\:f(x)=\frac{3}{\sqrt{x+5}}
limit as x approaches 2 of (sqrt(x+7)-\sqrt[3]{4x+19})/(x-2)	\lim\:_{x\to\:2}(\frac{\sqrt{x+7}-\sqrt[3]{4x+19}}{x-2})
integral of 2xcsc(2x)cot(2x)	\int\:2x\csc(2x)\cot(2x)dx
integral of x^x	\int\:x^{x}dx
integral of ((sec(x)+cos(x)))/(3cos(x))	\int\:\frac{(\sec(x)+\cos(x))}{3\cos(x)}dx
derivative of x^{0.5}	derivative\:x^{0.5}
derivative of xsin(pix)	\frac{d}{dx}(x\sin(πx))
derivative of 9e^x(cos(x-sin(x)))	\frac{d}{dx}(9e^{x}(\cos(x)-\sin(x)))
integral of (cos(x)+5^x)	\int\:(\cos(x)+5^{x})dx
integral of (x^2+6x)cos(x)	\int\:(x^{2}+6x)\cos(x)dx
derivative of e^{ax^6}	\frac{d}{dx}(e^{ax^{6}})
derivative of f(x)=(x)^3*e^{(3x)}	derivative\:f(x)=(x)^{3}\cdot\:e^{(3x)}
2y^2=(dy)/(dx)	2y^{2}=\frac{dy}{dx}
integral from 1 to e of ((x^2-1))/x	\int\:_{1}^{e}\frac{(x^{2}-1)}{x}dx
d/(dt)(e^{-2t})	\frac{d}{dt}(e^{-2t})
derivative of x^4+1/(32x^2)	\frac{d}{dx}(x^{4}+\frac{1}{32x^{2}})
derivative of 4+3sin(x)	\frac{d}{dx}(4+3\sin(x))
limit as x approaches+0+of ln(0)	\lim\:_{x\to\:+0+}(\ln(0))
integral of sin^5(13x)	\int\:\sin^{5}(13x)dx
integral of 6sec^6(t)	\int\:6\sec^{6}(t)dt
(\partial)/(\partial t)(sqrt(1+t))	\frac{\partial\:}{\partial\:t}(\sqrt{1+t})
integral from 1 to e of (sqrt(ln(x)))/x	\int\:_{1}^{e}\frac{\sqrt{\ln(x)}}{x}dx
integral of 3e^{5x+e^{5x}}	\int\:3e^{5x+e^{5x}}dx
taylor ln(x),\at 1	taylor\:\ln(x),\at\:1
integral from 0 to 4 of \|x-2\|	\int\:_{0}^{4}\left\|x-2\right\|dx
integral of 1/(2x^2+9x+4)	\int\:\frac{1}{2x^{2}+9x+4}dx
derivative of ln(sqrt(x^2+7))	\frac{d}{dx}(\ln(\sqrt{x^{2}+7}))
limit as x approaches pi/2 of sin(x)	\lim\:_{x\to\:\frac{π}{2}}(\sin(x))
integral of 6/(x^2+10x+16)	\int\:\frac{6}{x^{2}+10x+16}dx
integral of 6sin^4(x)	\int\:6\sin^{4}(x)dx
derivative of y=ln((x^2-1)/(x^2+1))	derivative\:y=\ln(\frac{x^{2}-1}{x^{2}+1})
derivative of-10e^{-5x^2}x	derivative\:-10e^{-5x^{2}}x
integral of 6xln(5x)	\int\:6x\ln(5x)dx
area y=x^4-4x^2+4,y=x^2	area\:y=x^{4}-4x^{2}+4,y=x^{2}
inverse oflaplace 4/(s^2(s+1))	inverselaplace\:\frac{4}{s^{2}(s+1)}
y^'=(x^3-2y)/x	y^{\prime\:}=\frac{x^{3}-2y}{x}
integral of x^3e^{4x}	\int\:x^{3}e^{4x}dx
limit as x approaches 0 of sin^3(2x)	\lim\:_{x\to\:0}(\sin^{3}(2x))
derivative of (-8x/((x^2-16)^2))	\frac{d}{dx}(\frac{-8x}{(x^{2}-16)^{2}})
integral of tan^5(x)sec(x)	\int\:\tan^{5}(x)\sec(x)dx
maclaurin 5e^{-x}	maclaurin\:5e^{-x}
derivative of (sin(x)^{ln(x)})	\frac{d}{dx}((\sin(x))^{\ln(x)})
(\partial)/(\partial x)(x^2y+5y^3)	\frac{\partial\:}{\partial\:x}(x^{2}y+5y^{3})
(dx)/(dt)=3t^2(x^2+4)	\frac{dx}{dt}=3t^{2}(x^{2}+4)
(\partial)/(\partial x)(9(xyz)/(x+y+z))	\frac{\partial\:}{\partial\:x}(9\frac{xyz}{x+y+z})
parity x^{cos(x)}	parity\:x^{\cos(x)}
derivative of 5^{-2x}	\frac{d}{dx}(5^{-2x})
integral of (x-sqrt(25-x^2))	\int\:(x-\sqrt{25-x^{2}})dx
limit as x approaches 4 of sin(2/x-1/2)	\lim\:_{x\to\:4}(\sin(\frac{2}{x}-\frac{1}{2}))
derivative of (x^2-8x+4/(2x))	\frac{d}{dx}(\frac{x^{2}-8x+4}{2x})
derivative of (1+7x^2)(x-x^2)	derivative\:(1+7x^{2})(x-x^{2})
integral from 0 to pi/4 of tan^2(x)	\int\:_{0}^{\frac{π}{4}}\tan^{2}(x)dx
integral of (3x^2)/(125)	\int\:\frac{3x^{2}}{125}dx
derivative of sin(cos(tan(x)))	derivative\:\sin(\cos(\tan(x)))
derivative of sqrt(1+cos(2x))	\frac{d}{dx}(\sqrt{1+\cos(2x)})
derivative of y=\sqrt[5]{x^4}	derivative\:y=\sqrt[5]{x^{4}}
implicit ln(xy^9)=xy	implicit\:\ln(xy^{9})=xy
derivative of-3/(sqrt(x^5))	\frac{d}{dx}(-\frac{3}{\sqrt{x^{5}}})
xy^'+y=(xy)^{3/2}	xy^{\prime\:}+y=(xy)^{\frac{3}{2}}
limit as x approaches 0 of x/(x^2-9x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-9x})
x^2y^'+2xy=ln(x),y(1)=3	x^{2}y^{\prime\:}+2xy=\ln(x),y(1)=3
integral of ((2e^x))/x	\int\:\frac{(2e^{x})}{x}dx
derivative of cos(2x-2sin(x))	\frac{d}{dx}(\cos(2x)-2\sin(x))
2xyy^'=x^2-y^2	2xyy^{\prime\:}=x^{2}-y^{2}
limit as x approaches 0 of csc(6x)	\lim\:_{x\to\:0}(\csc(6x))
derivative of 3x^2-2y^2	\frac{d}{dx}(3x^{2}-2y^{2})
(\partial)/(\partial y)(4x^2-y^2+2y)	\frac{\partial\:}{\partial\:y}(4x^{2}-y^{2}+2y)
integral of cos(6x)cos(4x)	\int\:\cos(6x)\cos(4x)dx
derivative of 2x^2y^3	\frac{d}{dx}(2x^{2}y^{3})
integral of (tan(x/6))^5	\int\:(\tan(\frac{x}{6}))^{5}dx
integral of-1/3 e^{-3x}	\int\:-\frac{1}{3}e^{-3x}dx
integral of 1/(sqrt(u^2-16))	\int\:\frac{1}{\sqrt{u^{2}-16}}du
derivative of 4/(x^{10})	\frac{d}{dx}(\frac{4}{x^{10}})
integral of 1/(sqrt(16-x^2))	\int\:\frac{1}{\sqrt{16-x^{2}}}dx
inverse oflaplace {(2s-1)/(s^2(s+1)^3)}	inverselaplace\:\left\{\frac{2s-1}{s^{2}(s+1)^{3}}\right\}
integral of 1/(sqrt(6x-x^2))	\int\:\frac{1}{\sqrt{6x-x^{2}}}dx
inverse oflaplace (e^{-pis})/(s^2+4)	inverselaplace\:\frac{e^{-πs}}{s^{2}+4}
derivative of 40(x^2-2x)	\frac{d}{dx}(40(x^{2}-2x))
derivative of pix^7-2x^5-5x^{-2}	\frac{d}{dx}(πx^{7}-2x^{5}-5x^{-2})
derivative of (x^2-4)/(sqrt(x))	derivative\:\frac{x^{2}-4}{\sqrt{x}}
derivative of 8sin(x)	derivative\:8\sin(x)
f(x)=x^{3/5}	f(x)=x^{\frac{3}{5}}
derivative of y=x^{6x}	derivative\:y=x^{6x}
integral of 8sin(2)(x)cos(3)(x)	\int\:8\sin(2)(x)\cos(3)(x)dx
limit as x approaches 0 of (1-cos(2x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(2x)}{x})
limit as x approaches 1+of 1/(x-1)-1/(ln(x))	\lim\:_{x\to\:1+}(\frac{1}{x-1}-\frac{1}{\ln(x)})
integral of ((e^{6x}))/(e^{6x)+1}	\int\:\frac{(e^{6x})}{e^{6x}+1}dx
(dy)/(dt)=(ty)^2	\frac{dy}{dt}=(ty)^{2}
derivative of (2x+3/(3x-2))	\frac{d}{dx}(\frac{2x+3}{3x-2})
derivative of ln((3e^x/(2x^2)))	\frac{d}{dx}(\ln(\frac{3e^{x}}{2x^{2}}))
taylor sqrt(x),100	taylor\:\sqrt{x},100
(dy)/(dx)=x+2y,y(0)=7	\frac{dy}{dx}=x+2y,y(0)=7
derivative of e^x*cos(y)	\frac{d}{dx}(e^{x}\cdot\:\cos(y))
integral of ye^y	\int\:ye^{y}dy
limit as x approaches 0 of (x^2+1)/x	\lim\:_{x\to\:0}(\frac{x^{2}+1}{x})
derivative of-x^3+5x^2-8x	\frac{d}{dx}(-x^{3}+5x^{2}-8x)

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