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Popular Calculus Problems

limit as x approaches-3 of 8+x	\lim\:_{x\to\:-3}(8+x)
derivative of y=e^{4cos(sqrt(x))}	derivative\:y=e^{4\cos(\sqrt{x})}
limit as h approaches 0 of sin(1/h)	\lim\:_{h\to\:0}(\sin(\frac{1}{h}))
integral of 2sin^3(2x)cos^3(2x)	\int\:2\sin^{3}(2x)\cos^{3}(2x)dx
limit as x approaches+10 of x	\lim\:_{x\to\:+10}(x)
(dy)/(dx)=x^6y^{-7},y(0)=4	\frac{dy}{dx}=x^{6}y^{-7},y(0)=4
derivative of arcsin(cos(x))	\frac{d}{dx}(\arcsin(\cos(x)))
(\partial)/(\partial x)(e^{-(x+y)})	\frac{\partial\:}{\partial\:x}(e^{-(x+y)})
xy^'=2x^2y+3x^3e^{x^2}	xy^{\prime\:}=2x^{2}y+3x^{3}e^{x^{2}}
limit as x approaches infinity of xln(1)	\lim\:_{x\to\:\infty\:}(x\ln(1))
derivative of (2x-5)/(sqrt(x))	derivative\:\frac{2x-5}{\sqrt{x}}
(dy)/(dx)=2xsqrt(x-7)	\frac{dy}{dx}=2x\sqrt{x-7}
limit as x approaches-2 of (3x)/(x+2)	\lim\:_{x\to\:-2}(\frac{3x}{x+2})
integral of 5x^{3/7}	\int\:5x^{\frac{3}{7}}dx
derivative of arccosh(sec(x))	\frac{d}{dx}(\arccosh(\sec(x)))
slope of (13,0),(-2,-12)	slope\:(13,0),(-2,-12)
integral from 1 to 6 of xln(x)	\int\:_{1}^{6}x\ln(x)dx
slope ofintercept (46,381),(64,444)	slopeintercept\:(46,381),(64,444)
derivative of (6000/x)	\frac{d}{dx}(\frac{6000}{x})
integral of 1/(2sin(x)cos(x))	\int\:\frac{1}{2\sin(x)\cos(x)}dx
derivative of 1500x+3000(3x+3)^{-1}-1000	derivative\:1500x+3000(3x+3)^{-1}-1000
area x^{2/7},1,x=0	area\:x^{\frac{2}{7}},1,x=0
derivative of 8xy	derivative\:8xy
integral from 0 to 4 of f(x)	\int\:_{0}^{4}f(x)dx
(x-2)y^'+y=3x^2+2x	(x-2)y^{\prime\:}+y=3x^{2}+2x
sum from n=0 to infinity of 1/((2n+1)^4)	\sum\:_{n=0}^{\infty\:}\frac{1}{(2n+1)^{4}}
derivative of 9x^2e^{-x}	\frac{d}{dx}(9x^{2}e^{-x})
integral from 0 to 5 of (x-1)/(x^2-5x-6)	\int\:_{0}^{5}\frac{x-1}{x^{2}-5x-6}dx
derivative of (3x+36/(2sqrt(x+18)))	\frac{d}{dx}(\frac{3x+36}{2\sqrt{x+18}})
integral of e^{-(x^2)}	\int\:e^{-(x^{2})}dx
limit as x approaches infinity+of e^x	\lim\:_{x\to\:\infty\:+}(e^{x})
derivative of sqrt(3)x	derivative\:\sqrt{3}x
limit as h approaches 0 of (h^2+2h)/h	\lim\:_{h\to\:0}(\frac{h^{2}+2h}{h})
(\partial)/(\partial x)(x^2y^2-y^3+3x^4+5)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}-y^{3}+3x^{4}+5)
integral from 0 to 4 of 10x	\int\:_{0}^{4}10xdx
taylor f(x)= 1/(x^2)	taylor\:f(x)=\frac{1}{x^{2}}
y^{''}+2k^2y^'+k^4y=0	y^{\prime\:\prime\:}+2k^{2}y^{\prime\:}+k^{4}y=0
integral of (x^5+2x^2-1)/(x^4)	\int\:\frac{x^{5}+2x^{2}-1}{x^{4}}dx
tangent of f(x)=(x-2)^{1/2},\at x=6	tangent\:f(x)=(x-2)^{\frac{1}{2}},\at\:x=6
derivative of y=e^{cos(3)x^2}	derivative\:y=e^{\cos(3)x^{2}}
derivative of (6x^7/(5tan(x)))	\frac{d}{dx}(\frac{6x^{7}}{5\tan(x)})
integral of 1/(200+3t)	\int\:\frac{1}{200+3t}dt
integral of xe^{-x/4}	\int\:xe^{-\frac{x}{4}}dx
tangent of x+1/x ,\at x=4	tangent\:x+\frac{1}{x},\at\:x=4
limit as x approaches 22 of 2x^2-3x-5	\lim\:_{x\to\:22}(2x^{2}-3x-5)
sum from n=0 to infinity of 1/n	\sum\:_{n=0}^{\infty\:}\frac{1}{n}
sum from n=1 to infinity of 4/(n^4)	\sum\:_{n=1}^{\infty\:}\frac{4}{n^{4}}
tangent of y= 6/(x-1),(3,3)	tangent\:y=\frac{6}{x-1},(3,3)
integral of 1/(y^2+9)	\int\:\frac{1}{y^{2}+9}dy
tangent of f(x)= 1/(sqrt(x)),\at x=9	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=9
integral of xln^2(5x)	\int\:x\ln^{2}(5x)dx
integral of 2x+3y	\int\:2x+3ydx
derivative of f(x)=2sqrt(x)-1/(2sqrt(x))	derivative\:f(x)=2\sqrt{x}-\frac{1}{2\sqrt{x}}
f(x)=7x^3+7x^2+7x+3	f(x)=7x^{3}+7x^{2}+7x+3
derivative of (x^4-1^3(x^3+1)^4)	\frac{d}{dx}((x^{4}-1)^{3}(x^{3}+1)^{4})
tangent of f(x)=x^2-1,\at x=0	tangent\:f(x)=x^{2}-1,\at\:x=0
integral of j	\int\:j
derivative of y=arcsin(5x+1)	derivative\:y=\arcsin(5x+1)
(\partial)/(\partial x)(y^5cos(4x))	\frac{\partial\:}{\partial\:x}(y^{5}\cos(4x))
taylor 1/(1-x),24	taylor\:\frac{1}{1-x},24
integral of ln(x)sqrt(x)	\int\:\ln(x)\sqrt{x}dx
inverse oflaplace 1/(s(s-1)^2)	inverselaplace\:\frac{1}{s(s-1)^{2}}
f(x)=-3sqrt(x)	f(x)=-3\sqrt{x}
implicit (dy)/(dx),25x=y^4	implicit\:\frac{dy}{dx},25x=y^{4}
area 6x^2,x^2+9	area\:6x^{2},x^{2}+9
tangent of f(x)=3x^2-2x	tangent\:f(x)=3x^{2}-2x
limit as x approaches a+of (cos(x)ln(x-a))/(ln(e^x-e^a))	\lim\:_{x\to\:a+}(\frac{\cos(x)\ln(x-a)}{\ln(e^{x}-e^{a})})
derivative of xe^{(-2x^2})	\frac{d}{dx}(xe^{(-2x^{2})})
area \|x\|, x/2+3	area\:\left\|x\right\|,\frac{x}{2}+3
tangent of x^3-4x^2-9x+9	tangent\:x^{3}-4x^{2}-9x+9
derivative of x^3*sin(x)	\frac{d}{dx}(x^{3}\cdot\:\sin(x))
integral of 1/((2x-3)^2)	\int\:\frac{1}{(2x-3)^{2}}dx
tangent of f(t)=3t-t^2,(0,0)	tangent\:f(t)=3t-t^{2},(0,0)
derivative of ln((1+sin(x)/(1-sin(x))))	\frac{d}{dx}(\ln(\frac{1+\sin(x)}{1-\sin(x)}))
integral of-1/2 cos(2x)+1/2	\int\:-\frac{1}{2}\cos(2x)+\frac{1}{2}dx
integral of sqrt(x^2+4x+40)	\int\:\sqrt{x^{2}+4x+40}dx
derivative of f(t)=3tsin(pit)	derivative\:f(t)=3t\sin(πt)
tangent of x^3+y^3=7xy,(2,-4)	tangent\:x^{3}+y^{3}=7xy,(2,-4)
tangent of y= 1/(x^2),(-1,1)	tangent\:y=\frac{1}{x^{2}},(-1,1)
derivative of (ln(2x)/(5x))	\frac{d}{dx}(\frac{\ln(2x)}{5x})
integral of cos^2(1/2 x)	\int\:\cos^{2}(\frac{1}{2}x)dx
derivative of 7e^{-5x}	\frac{d}{dx}(7e^{-5x})
derivative of (10/(e^x))	\frac{d}{dx}(\frac{10}{e^{x}})
derivative of (6x^2+6x+8)/(sqrt(x))	derivative\:\frac{6x^{2}+6x+8}{\sqrt{x}}
integral of csc^4(9x)	\int\:\csc^{4}(9x)dx
limit as x approaches-1 of (x^2-7)/(1-x)	\lim\:_{x\to\:-1}(\frac{x^{2}-7}{1-x})
integral of e^{-0.02t}(e^{-0.13t}+4)	\int\:e^{-0.02t}(e^{-0.13t}+4)dt
sum from n=0 to infinity of \sqrt[n]{5}	\sum\:_{n=0}^{\infty\:}\sqrt[n]{5}
integral from 0 to x of 1/(0.2x+10)	\int\:_{0}^{x}\frac{1}{0.2x+10}dx
tangent of 1-x^2	tangent\:1-x^{2}
sum from n=1 to infinity of n^2e^{-n}	\sum\:_{n=1}^{\infty\:}n^{2}e^{-n}
limit as x approaches 0 of (cos(5x)tan(5x))/(3x)	\lim\:_{x\to\:0}(\frac{\cos(5x)\tan(5x)}{3x})
integral of-1/((t+2)^2)	\int\:-\frac{1}{(t+2)^{2}}dt
(\partial)/(\partial x)(sin^2(ax))	\frac{\partial\:}{\partial\:x}(\sin^{2}(ax))
integral of 5e^{5x}sin(e^{5x})	\int\:5e^{5x}\sin(e^{5x})dx
integral of sqrt(2)cos(x)	\int\:\sqrt{2}\cos(x)dx
limit as x approaches 5 of cos(1/(x-5))	\lim\:_{x\to\:5}(\cos(\frac{1}{x-5}))
derivative of sqrt(t/(t^2+4))	derivative\:\sqrt{\frac{t}{t^{2}+4}}
(dy)/(dx)+2y=e^x	\frac{dy}{dx}+2y=e^{x}
integral of cos^3(4x)sin^{-2}(4x)	\int\:\cos^{3}(4x)\sin^{-2}(4x)dx

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