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Popular Calculus Problems

limit as x approaches-9 of 50	\lim\:_{x\to\:-9}(50)
integral of 1/(sec(t)+tan(t))	\int\:\frac{1}{\sec(t)+\tan(t)}dt
sum from n=1 to infinity of 1/(5n+1)	\sum\:_{n=1}^{\infty\:}\frac{1}{5n+1}
integral of (xsqrt(x+1))	\int\:(x\sqrt{x+1})dx
area 0.9x^2+6,x,(-4,4)	area\:0.9x^{2}+6,x,(-4,4)
(dy)/(dx)=e^{2x}+4y	\frac{dy}{dx}=e^{2x}+4y
derivative of 3x+2x^2	\frac{d}{dx}(3x+2x^{2})
limit as x approaches 6 of (x^2-6)/(x+4)	\lim\:_{x\to\:6}(\frac{x^{2}-6}{x+4})
integral of (19)/(x(x^2+4)^2)	\int\:\frac{19}{x(x^{2}+4)^{2}}dx
integral from 1 to 7 of x^2-4x-12	\int\:_{1}^{7}x^{2}-4x-12dx
derivative of x^{7/2}e^x	derivative\:x^{\frac{7}{2}}e^{x}
derivative of f(x)=(3x^2-10)^{-14}	derivative\:f(x)=(3x^{2}-10)^{-14}
derivative of (3x^2/(5x+1))	\frac{d}{dx}(\frac{3x^{2}}{5x+1})
fouriertransform x	fouriertransform\:x
integral of-x^2-x+6	\int\:-x^{2}-x+6dx
integral of x^{(2/3)}	\int\:x^{(\frac{2}{3})}dx
integral of x^2sqrt(9-x^2)	\int\:x^{2}\sqrt{9-x^{2}}dx
integral from 1 to 3 of 2/(x^2)	\int\:_{1}^{3}\frac{2}{x^{2}}dx
derivative of 5sin(xcos(x)+4csc(x))	\frac{d}{dx}(5\sin(x)\cos(x)+4\csc(x))
integral of 1/(2x-x^2-10)	\int\:\frac{1}{2x-x^{2}-10}dx
derivative of (x^2-1)/(x^2+x+1)	derivative\:\frac{x^{2}-1}{x^{2}+x+1}
integral from 0 to 3 of 5x-x^2	\int\:_{0}^{3}5x-x^{2}dx
maclaurin e^x+e^{2x}	maclaurin\:e^{x}+e^{2x}
integral of x-1	\int\:x-1dx
tangent of 8/(sin(x)+cos(x))	tangent\:\frac{8}{\sin(x)+\cos(x)}
(\partial)/(\partial y)(cos(xy)y)	\frac{\partial\:}{\partial\:y}(\cos(xy)y)
11x-4ysqrt(x^2+1)y^'=0,y(0)=10	11x-4y\sqrt{x^{2}+1}y^{\prime\:}=0,y(0)=10
integral of (5x^2+3)	\int\:(5x^{2}+3)dx
derivative of (cos(x)/(sin^2(x)))	\frac{d}{dx}(\frac{\cos(x)}{\sin^{2}(x)})
limit as x approaches 0 of x*e^{1/x}-1	\lim\:_{x\to\:0}(x\cdot\:e^{\frac{1}{x}}-1)
(dy)/(dx)=(y(ln(5y)-ln(5x)+7))/(7x)	\frac{dy}{dx}=\frac{y(\ln(5y)-\ln(5x)+7)}{7x}
derivative of (2+x/(1-x))	\frac{d}{dx}(\frac{2+x}{1-x})
integral from 0 to 2.5 of sqrt(25-x^2)	\int\:_{0}^{2.5}\sqrt{25-x^{2}}dx
integral of 1/(sqrt(x^2+14))	\int\:\frac{1}{\sqrt{x^{2}+14}}dx
simplify sin(x+y)	simplify\:\sin(x+y)
integral of sin(bt)	\int\:\sin(bt)dt
derivative of x/((2x+3^3))	\frac{d}{dx}(\frac{x}{(2x+3)^{3}})
integral of x^2sqrt(8+x^3)	\int\:x^{2}\sqrt{8+x^{3}}dx
derivative of 5x+2/x	\frac{d}{dx}(5x+\frac{2}{x})
limit as x approaches-3 of x^4+3x+9	\lim\:_{x\to\:-3}(x^{4}+3x+9)
integral of (x+4)/(x^2+16)	\int\:\frac{x+4}{x^{2}+16}dx
y^{''}-5y^'+6y=e^t	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=e^{t}
integral from 0 to 1 of sqrt(9t^4+4t^2)	\int\:_{0}^{1}\sqrt{9t^{4}+4t^{2}}dt
integral from 1 to 4 of (x^2+x)	\int\:_{1}^{4}(x^{2}+x)dx
derivative of-x^{-2}	\frac{d}{dx}(-x^{-2})
integral of sqrt(e^x-1)	\int\:\sqrt{e^{x}-1}dx
derivative of x^4-8x^2	\frac{d}{dx}(x^{4}-8x^{2})
integral from 1 to e^3 of (ln^4(x^2))/x	\int\:_{1}^{e^{3}}\frac{\ln^{4}(x^{2})}{x}dx
derivative of 3^{sin(x})	\frac{d}{dx}(3^{\sin(x)})
derivative of tan(sqrt(5x))	\frac{d}{dx}(\tan(\sqrt{5x}))
limit as x approaches 1 of 3x^3-5x^2+5	\lim\:_{x\to\:1}(3x^{3}-5x^{2}+5)
integral of (x^2)/(4x^2+1)	\int\:\frac{x^{2}}{4x^{2}+1}dx
derivative of 7e^{1-x^2}	derivative\:7e^{1-x^{2}}
integral of ((1+x)/x)^3	\int\:(\frac{1+x}{x})^{3}dx
derivative of ((sqrt(x)-2))/(sqrt(x)+2)	derivative\:\frac{(\sqrt{x}-2)}{\sqrt{x}+2}
integral of sin^8(x)cos^5(x)	\int\:\sin^{8}(x)\cos^{5}(x)dx
derivative of (e^x/(-8x^7))	\frac{d}{dx}(\frac{e^{x}}{-8x^{7}})
limit as x approaches-infinity of 5x^5-7x^4+1	\lim\:_{x\to\:-\infty\:}(5x^{5}-7x^{4}+1)
xcos^2(y)dx+tan(y)dy=0	x\cos^{2}(y)dx+\tan(y)dy=0
slope ofintercept (1.1)(0.1)	slopeintercept\:(1.1)(0.1)
derivative of tan(2x^5)	\frac{d}{dx}(\tan(2x^{5}))
integral of (2x)/(x^2-x-2)	\int\:\frac{2x}{x^{2}-x-2}dx
limit as s approaches 0 of 1/(s^20.1s+1)	\lim\:_{s\to\:0}(\frac{1}{s^{2}0.1s+1})
limit as x approaches 0 of (sin^2(6x))/x	\lim\:_{x\to\:0}(\frac{\sin^{2}(6x)}{x})
limit as x approaches infinity of 2x^x	\lim\:_{x\to\:\infty\:}(2x^{x})
y^{''}+3y^'=0,y(0)=9,y^'(0)=-6	y^{\prime\:\prime\:}+3y^{\prime\:}=0,y(0)=9,y^{\prime\:}(0)=-6
sum from n=1 to infinity of n(1-p)^{n-1}	\sum\:_{n=1}^{\infty\:}n(1-p)^{n-1}
area 9x,x^2-10,0	area\:9x,x^{2}-10,0
integral of e^{6x}x^3	\int\:e^{6x}x^{3}dx
derivative of y=ln(sqrt((x+3)/(x-3)))	derivative\:y=\ln(\sqrt{\frac{x+3}{x-3}})
(\partial)/(\partial x)(y^6-5xy)	\frac{\partial\:}{\partial\:x}(y^{6}-5xy)
integral of sqrt(1+x^2)	\int\:\sqrt{1+x^{2}}dx
(\partial)/(\partial z)(1/(xyz^2))	\frac{\partial\:}{\partial\:z}(\frac{1}{xyz^{2}})
(dy}{dx}=\frac{-xy^2)/2	\frac{dy}{dx}=\frac{-xy^{2}}{2}
limit as x approaches 2 of (x-2)(2^x-4)	\lim\:_{x\to\:2}((x-2)(2^{x}-4))
derivative of x^{3^x}	derivative\:x^{3^{x}}
integral of ((x+2)^2)/(x^2+4)	\int\:\frac{(x+2)^{2}}{x^{2}+4}dx
integral of (x+66)/(x^2-36)	\int\:\frac{x+66}{x^{2}-36}dx
integral of (3x-4)^2	\int\:(3x-4)^{2}dx
derivative of csc(x^3)	\frac{d}{dx}(\csc(x^{3}))
derivative of f(x)=(8x^2-x+5)/(x+5)	derivative\:f(x)=\frac{8x^{2}-x+5}{x+5}
d/(dy)(sin(xy^2))	\frac{d}{dy}(\sin(xy^{2}))
integral of 6sin(2x)+sec^2(x)	\int\:6\sin(2x)+\sec^{2}(x)dx
integral of e^{13x}(13)	\int\:e^{13x}(13)dx
integral of 16cos^2(t)	\int\:16\cos^{2}(t)dt
limit as x approaches 3 of x/(3-x)	\lim\:_{x\to\:3}(\frac{x}{3-x})
f(x)=5x-3	f(x)=5x-3
integral of (x+5)	\int\:(x+5)dx
derivative of (x^3+6/x)	\frac{d}{dx}(\frac{x^{3}+6}{x})
derivative of (8+x/(1-8x))	\frac{d}{dx}(\frac{8+x}{1-8x})
integral of 19sin^3(xco)s^2x	\int\:19\sin^{3}(xco)s^{2}xdx
tangent of y=x^2+x,(-1,0)	tangent\:y=x^{2}+x,(-1,0)
derivative of (x^2/((x^2-1)^4))	\frac{d}{dx}(\frac{x^{2}}{(x^{2}-1)^{4}})
f(x)=(t^3)/6-2/(t^2)	f(x)=\frac{t^{3}}{6}-\frac{2}{t^{2}}
t^2y^{''}+19ty^'+90y=0	t^{2}y^{\prime\:\prime\:}+19ty^{\prime\:}+90y=0
-2y^{''}+8y=0	-2y^{\prime\:\prime\:}+8y=0
derivative of e^{t/9}	derivative\:e^{\frac{t}{9}}
derivative of f(x)=(3x^2-2x+1)^{1/2}	derivative\:f(x)=(3x^{2}-2x+1)^{\frac{1}{2}}
integral of 4cos((npix)/4)	\int\:4\cos(\frac{nπx}{4})dx
inverse oflaplace x/(x^2+0.0184)	inverselaplace\:\frac{x}{x^{2}+0.0184}

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