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Popular Calculus Problems
integral from 1 to x of 5/(t^3+1)
\int\:_{1}^{x}\frac{5}{t^{3}+1}dt
integral from 1 to 2 of xsqrt(1/2 x^2+9)
\int\:_{1}^{2}x\sqrt{\frac{1}{2}x^{2}+9}dx
integral from 0 to 2 of x^2(1+2x)^3
\int\:_{0}^{2}x^{2}(1+2x)^{3}dx
integral from 0 to x of sin(sqrt(t))
\int\:_{0}^{x}\sin(\sqrt{t})dt
integral from 0 to 2 of 3x(x-2)
\int\:_{0}^{2}3x(x-2)dx
integral from 0 to 6 of (300)/(3Q+2)
\int\:_{0}^{6}\frac{300}{3Q+2}dQ
integral from 1 to e of (e^{ln(x)})/x
\int\:_{1}^{e}\frac{e^{\ln(x)}}{x}dx
integral from 1 to 4 of (x+2-x^2)
\int\:_{1}^{4}(x+2-x^{2})dx
integral from-1 to 0 of (x+1)^{10}x
\int\:_{-1}^{0}(x+1)^{10}xdx
integral from 3 to 7 of (8x+5)
\int\:_{3}^{7}(8x+5)dx
integral from a to 7a of 1/x
\int\:_{a}^{7a}\frac{1}{x}dx
integral from 0 to x of sqrt(2+3t^2)
\int\:_{0}^{x}\sqrt{2+3t^{2}}dt
integral from 0 to u of (sqrt(t))/(t+1)
\int\:_{0}^{u}\frac{\sqrt{t}}{t+1}dt
integral from 1 to cos(x) of 8t^7
\int\:_{1}^{\cos(x)}8t^{7}dt
integral from 1 to 2 of-6/(x^2)
\int\:_{1}^{2}-\frac{6}{x^{2}}dx
integral from 1 to e of (ln(x^4))/x
\int\:_{1}^{e}\frac{\ln(x^{4})}{x}dx
integral from 2 to 3 of 1/3
\int\:_{2}^{3}\frac{1}{3}dx
integral from 0 to 2 of 4x-(x^3)/3
\int\:_{0}^{2}4x-\frac{x^{3}}{3}dx
integral from 2 to x^2 of (sin(t))/t
\int\:_{2}^{x^{2}}\frac{\sin(t)}{t}dt
integral from 0 to 2 of 1/((x+1))
\int\:_{0}^{2}\frac{1}{(x+1)}dx
integral from 0 to 1/2 of x/(2+32x^4)
\int\:_{0}^{\frac{1}{2}}\frac{x}{2+32x^{4}}dx
integral from 0 to 4 of 2x+3
\int\:_{0}^{4}2x+3dx
integral from 0 to 8/5 of 1/(25x^2+64)
\int\:_{0}^{\frac{8}{5}}\frac{1}{25x^{2}+64}dx
integral from 1 to e of 10xln(x)
\int\:_{1}^{e}10x\ln(x)dx
integral from 0 to 2 of 9000e^{0.06t}
\int\:_{0}^{2}9000e^{0.06t}dt
integral from 0 to 4-x of (4-x-y)
\int\:_{0}^{4-x}(4-x-y)dy
integral from 0 to 1 of y^2-y^3
\int\:_{0}^{1}y^{2}-y^{3}dy
integral from 0 to 2 of xcos(npix)
\int\:_{0}^{2}x\cos(nπx)dx
integral from 1 to 4 of pi(sqrt(x))^2
\int\:_{1}^{4}π(\sqrt{x})^{2}dx
integral from 0 to pi/2 of-sin^2(x)
\int\:_{0}^{\frac{π}{2}}-\sin^{2}(x)dx
integral from 1 to 16 of x^{-9/4}
\int\:_{1}^{16}x^{-\frac{9}{4}}dx
integral from 1 to 3x-1 of (f(t))/t
\int\:_{1}^{3x-1}\frac{f(t)}{t}dt
integral from-2 to 5 of (x^2-3x+3)
\int\:_{-2}^{5}(x^{2}-3x+3)dx
integral from-3 to 0 of 1/((x-1)^2)
\int\:_{-3}^{0}\frac{1}{(x-1)^{2}}dx
integral from-6 to 3 of-1/(x^4)
\int\:_{-6}^{3}-\frac{1}{x^{4}}dx
integral from 0 to 2pi of 2sin(θ)cos(θ)
\int\:_{0}^{2π}2\sin(θ)\cos(θ)dθ
integral from 5 to 3 of x^2
\int\:_{5}^{3}x^{2}dx
integral from 0 to 1 of 8t^2
\int\:_{0}^{1}8t^{2}dt
integral from 0 to 2 of 2x-x
\int\:_{0}^{2}2x-xdx
integral from 1 to 2 of-x^2+x+2
\int\:_{1}^{2}-x^{2}+x+2dx
integral from 0 to 2pi of-cos(x)sin(x)
\int\:_{0}^{2π}-\cos(x)\sin(x)dx
integral from x to 0 of e^{-11t}
\int\:_{x}^{0}e^{-11t}dt
integral from 1 to 2 of 9x^2
\int\:_{1}^{2}9x^{2}dx
integral from 1 to n of ([x])/x
\int\:_{1}^{n}\frac{[x]}{x}dx
integral from 0 to 2 of x^{3/2}
\int\:_{0}^{2}x^{\frac{3}{2}}dx
integral from 1 to 1 of 3x
\int\:_{1}^{1}3xdx
integral from 0 to x of sqrt(cos(t))
\int\:_{0}^{x}\sqrt{\cos(t)}dt
integral from 0 to 2 of 5tcos(pi*t)
\int\:_{0}^{2}5t\cos(π\cdot\:t)dt
integral from 9 to 16 of 8sqrt(x)
\int\:_{9}^{16}8\sqrt{x}dx
integral from-3 to 3 of 8tsqrt(7+2t^2)
\int\:_{-3}^{3}8t\sqrt{7+2t^{2}}dt
integral from 0 to 1/5 of 1/(1+25x^2)
\int\:_{0}^{\frac{1}{5}}\frac{1}{1+25x^{2}}dx
integral from 0 to pi/4 of (10sec^2(x))
\int\:_{0}^{\frac{π}{4}}(10\sec^{2}(x))dx
integral from 2 to 4 of xe^{x^2}
\int\:_{2}^{4}xe^{x^{2}}dx
integral from 1 to 2 of (x^2+x-2)
\int\:_{1}^{2}(x^{2}+x-2)dx
integral from 0 to 1 of (2x)/((x^2-3)^3)
\int\:_{0}^{1}\frac{2x}{(x^{2}-3)^{3}}dx
integral from 0 to 3 of 2x(x-4)
\int\:_{0}^{3}2x(x-4)dx
integral from 4 to 1/x of arctan(5t)
\int\:_{4}^{\frac{1}{x}}\arctan(5t)dt
integral from-2 to 2 of 9-x^2
\int\:_{-2}^{2}9-x^{2}dx
integral from 0 to pi of cox(3x)
\int\:_{0}^{π}cox(3x)dx
integral from 1 to 2 of (2x)/((x^2+3)^2)
\int\:_{1}^{2}\frac{2x}{(x^{2}+3)^{2}}dx
integral from-1 to 3 of x^2-2x+3
\int\:_{-1}^{3}x^{2}-2x+3dx
integral from 2 to 5 of (sqrt(x)+5)
\int\:_{2}^{5}(\sqrt{x}+5)dx
integral from 6 to 7 of e^{6-x}
\int\:_{6}^{7}e^{6-x}dx
integral from 0 to 3 of sqrt(3^2-x^2)
\int\:_{0}^{3}\sqrt{3^{2}-x^{2}}dx
integral from 0 to 1 of sqrt(x^2+2)
\int\:_{0}^{1}\sqrt{x^{2}+2}dx
integral from 0 to 1 of x(6x(1-x))
\int\:_{0}^{1}x(6x(1-x))dx
integral from-3 to 6 of 6-x^2
\int\:_{-3}^{6}6-x^{2}dx
integral from 0 to 2pi of sqrt(t^2+1)
\int\:_{0}^{2π}\sqrt{t^{2}+1}dt
integral from-1 to 1 of x^3e^{-x^2}
\int\:_{-1}^{1}x^{3}e^{-x^{2}}dx
integral from-1 to 0 of (8x-1)
\int\:_{-1}^{0}(8x-1)dx
integral from 1 to 3 of (-x^2+4x)
\int\:_{1}^{3}(-x^{2}+4x)dx
integral from-1 to 5 of x^2
\int\:_{-1}^{5}x^{2}dx
integral from 0 to 2 of (x-2)^4
\int\:_{0}^{2}(x-2)^{4}dx
integral from 0 to b of x^3
\int\:_{0}^{b}x^{3}dx
integral from 2 to 4 of (2/x+3x)
\int\:_{2}^{4}(\frac{2}{x}+3x)dx
integral from 1 to 3 of 1/(sqrt(1+x^2))
\int\:_{1}^{3}\frac{1}{\sqrt{1+x^{2}}}dx
integral from-4 to 5 of (1-x)
\int\:_{-4}^{5}(1-x)dx
integral from-2 to 4 of (2x-4-2x^{1/2})
\int\:_{-2}^{4}(2x-4-2x^{\frac{1}{2}})dx
integral from 0 to 1 of xsin(n)pix
\int\:_{0}^{1}x\sin(n)πxdx
integral from 5 to 10 of sqrt(x^2+5)
\int\:_{5}^{10}\sqrt{x^{2}+5}dx
integral from 0 to 8 of 9x^2+3
\int\:_{0}^{8}9x^{2}+3dx
integral from 0 to 2 of (2^x+x^2)
\int\:_{0}^{2}(2^{x}+x^{2})dx
integral from 0 to 1 of x(1-x^2)^{1/2}
\int\:_{0}^{1}x(1-x^{2})^{\frac{1}{2}}dx
integral from 1 to 2 of (v^5+5v^8)/(v^4)
\int\:_{1}^{2}\frac{v^{5}+5v^{8}}{v^{4}}dv
integral from 0 to 100 of 9x
\int\:_{0}^{100}9xdx
integral from-1 to 1 of xln(x+2)
\int\:_{-1}^{1}x\ln(x+2)dx
integral from 1.7 to 4.7 of 2t^{1/2}
\int\:_{1.7}^{4.7}2t^{\frac{1}{2}}dt
integral from-2 to 2 of 2^x
\int\:_{-2}^{2}2^{x}dx
integral from 4 to 6 of 700xsqrt(3+2x)
\int\:_{4}^{6}700x\sqrt{3+2x}dx
integral from 0 to ln(2) of e^{-3y}
\int\:_{0}^{\ln(2)}e^{-3y}dy
integral from 0 to 4 of 1/(4t^2+81)
\int\:_{0}^{4}\frac{1}{4t^{2}+81}dt
integral from 0 to infinity of 1/(6+x)
\int\:_{0}^{\infty\:}\frac{1}{6+x}dx
integral from 0 to 1 of (x^2+3)
\int\:_{0}^{1}(x^{2}+3)dx
integral from 8 to infinity of x^{-4/3}
\int\:_{8}^{\infty\:}x^{-\frac{4}{3}}dx
integral from 0 to 1 of sqrt(2/(1+x))
\int\:_{0}^{1}\sqrt{\frac{2}{1+x}}dx
integral from-3 to x^2 of (t-5)(t^2+1)
\int\:_{-3}^{x^{2}}(t-5)(t^{2}+1)dt
integral from 0 to 1 of (5x^2-6x+5)
\int\:_{0}^{1}(5x^{2}-6x+5)dx
integral from 0 to t of e^{-4x}
\int\:_{0}^{t}e^{-4x}dx
integral from-2 to 0 of (x^3-x^2-6x)
\int\:_{-2}^{0}(x^{3}-x^{2}-6x)dx
integral from 0 to 100pi of sin(x)
\int\:_{0}^{100π}\sin(x)dx
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