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Popular Calculus Problems
integral from 0 to 1 of x^2sqrt(9+4x^2)
\int\:_{0}^{1}x^{2}\sqrt{9+4x^{2}}dx
integral from 0 to 2 of 1/(e^x+e^{-x)}
\int\:_{0}^{2}\frac{1}{e^{x}+e^{-x}}dx
integral from-4 to 4 of (-1/5 x^3+5x)
\int\:_{-4}^{4}(-\frac{1}{5}x^{3}+5x)dx
integral from 1 to 10 of (1/x)
\int\:_{1}^{10}(\frac{1}{x})dx
integral from 0 to b of 4e^x
\int\:_{0}^{b}4e^{x}dx
integral from 0 to 5 of |x-1|
\int\:_{0}^{5}\left|x-1\right|dx
integral from 0 to 6 of e^t-e^{-t}
\int\:_{0}^{6}e^{t}-e^{-t}dt
integral from 0 to 6 of (x)
\int\:_{0}^{6}(x)dx
integral from 0 to 9 of x^3
\int\:_{0}^{9}x^{3}dx
integral from-1 to 1 of x^{5/3}
\int\:_{-1}^{1}x^{\frac{5}{3}}dx
integral from-1 to 0 of 3x^2
\int\:_{-1}^{0}3x^{2}dx
integral from 5 to 7 of 1/x
\int\:_{5}^{7}\frac{1}{x}dx
integral from pi/6 to pi/4 of sec^2(x)
\int\:_{\frac{π}{6}}^{\frac{π}{4}}\sec^{2}(x)dx
integral from-5 to 3 of-x^2-3x
\int\:_{-5}^{3}-x^{2}-3xdx
integral from 1 to 2 of 1/(x^7)
\int\:_{1}^{2}\frac{1}{x^{7}}dx
integral from 0 to 2 of x(x-1)
\int\:_{0}^{2}x(x-1)dx
integral from 0 to pi/4 of sin^7(y)
\int\:_{0}^{\frac{π}{4}}\sin^{7}(y)dy
integral from 0 to 1 of 17xe^x
\int\:_{0}^{1}17xe^{x}dx
integral from 0 to 1 of x/((x+3)^2)
\int\:_{0}^{1}\frac{x}{(x+3)^{2}}dx
integral from 0 to 2pi of (cos^2(θ))
\int\:_{0}^{2π}(\cos^{2}(θ))dθ
integral from 0 to 7 of |x-4|
\int\:_{0}^{7}\left|x-4\right|dx
integral from 0 to 1 of x/((1+x^2))
\int\:_{0}^{1}\frac{x}{(1+x^{2})}dx
integral from-1 to 5 of x
\int\:_{-1}^{5}xdx
integral from-a to a of 1
\int\:_{-a}^{a}1dx
integral from 1 to 2 of (32x^3+6/(x^2))
\int\:_{1}^{2}(32x^{3}+\frac{6}{x^{2}})dx
integral from 1 to 3 of (8x-1)e^{4x^2-x}
\int\:_{1}^{3}(8x-1)e^{4x^{2}-x}dx
integral from 0 to 5 of sqrt(1+4x^2)
\int\:_{0}^{5}\sqrt{1+4x^{2}}dx
integral from 5 to 7 of 5
\int\:_{5}^{7}5dx
integral from 0 to 5 of 5(1-e^y)
\int\:_{0}^{5}5(1-e^{y})dy
integral from-4 to 0 of 2x
\int\:_{-4}^{0}2xdx
integral from 0 to 9/5 of 1/(25x^2+81)
\int\:_{0}^{\frac{9}{5}}\frac{1}{25x^{2}+81}dx
integral from-2 to 2 of x^2sin(x)
\int\:_{-2}^{2}x^{2}\sin(x)dx
integral from-1 to 1 of 3x^2-3
\int\:_{-1}^{1}3x^{2}-3dx
integral from 0 to pi/4 of sin^3(θ)
\int\:_{0}^{\frac{π}{4}}\sin^{3}(θ)dθ
integral from 0 to y of 2xye^{-x-y}
\int\:_{0}^{y}2xye^{-x-y}dx
integral from-1 to 1 of (x^3)/(x+2)
\int\:_{-1}^{1}\frac{x^{3}}{x+2}dx
integral from 0 to 0.35 of ln(1+x^2)
\int\:_{0}^{0.35}\ln(1+x^{2})dx
integral from pi to (3pi)/2 of (xsin(x))
\int\:_{π}^{\frac{3π}{2}}(x\sin(x))dx
integral from 0 to l of x^2
\int\:_{0}^{l}x^{2}dx
integral from-2 to 2 of 1/((1+x)^2)
\int\:_{-2}^{2}\frac{1}{(1+x)^{2}}dx
integral from 0 to 2pi of 2sin(t)
\int\:_{0}^{2π}2\sin(t)dt
integral from 2 to 5 of 1/(xsqrt(x^2+1))
\int\:_{2}^{5}\frac{1}{x\sqrt{x^{2}+1}}dx
integral from 5 to 9 of x/(x+4)
\int\:_{5}^{9}\frac{x}{x+4}dx
integral from 0 to 1.4 of (2x)/9
\int\:_{0}^{1.4}\frac{2x}{9}dx
integral from 1 to 4 of (4-x)
\int\:_{1}^{4}(4-x)dx
integral from-1 to 1 of (x+3)/(x^2+2x+5)
\int\:_{-1}^{1}\frac{x+3}{x^{2}+2x+5}dx
integral from 0 to 1 of x/(x^2-3x)
\int\:_{0}^{1}\frac{x}{x^{2}-3x}dx
integral from 0 to t of e^{-u}(t-u)^2
\int\:_{0}^{t}e^{-u}(t-u)^{2}du
integral from 0 to pi/4 of (7sec^2(x))
\int\:_{0}^{\frac{π}{4}}(7\sec^{2}(x))dx
integral from-2 to 0 of 3x^2-2
\int\:_{-2}^{0}3x^{2}-2dx
integral from 0 to 5 of sqrt(1+t^2)
\int\:_{0}^{5}\sqrt{1+t^{2}}dt
integral from 0 to 1 of (1/(x^2+1))
\int\:_{0}^{1}(\frac{1}{x^{2}+1})dx
integral from 0 to sqrt(10 of)x^2-5
\int\:_{0}^{\sqrt{10}}x^{2}-5dx
integral from a to b of f(t)
\int\:_{a}^{b}f(t)dt
integral from 0 to pi of sin(2θ)
\int\:_{0}^{π}\sin(2θ)dθ
integral from cos(x) to e^x of x^2
\int\:_{\cos(x)}^{e^{x}}x^{2}dx
integral from 1 to 3 of 7x
\int\:_{1}^{3}7xdx
integral from 1 to 2 of (v^3+5v^6)/(v^2)
\int\:_{1}^{2}\frac{v^{3}+5v^{6}}{v^{2}}dv
integral from 2 to 5 of ln(x^2-2)
\int\:_{2}^{5}\ln(x^{2}-2)dx
integral from 0 to ln(x) of (xe^{-y})
\int\:_{0}^{\ln(x)}(xe^{-y})dy
integral from-infinity to 2 of e^{-5x}
\int\:_{-\infty\:}^{2}e^{-5x}dx
integral from-2 to 1 of 1/(x^3)
\int\:_{-2}^{1}\frac{1}{x^{3}}dx
integral from 0 to 0 of e^{-x^2}
\int\:_{0}^{0}e^{-x^{2}}dx
integral from 0 to 1 of 484t^{10}+9t^8
\int\:_{0}^{1}484t^{10}+9t^{8}dt
integral from 2 to 4 of 1/8 (6-x-y)
\int\:_{2}^{4}\frac{1}{8}(6-x-y)dy
integral from 3 to 6 of (x^2-9)
\int\:_{3}^{6}(x^{2}-9)dx
integral from 0 to 1 of 1/(e^{2x)}
\int\:_{0}^{1}\frac{1}{e^{2x}}dx
integral from t to 3t of (sin(x))/(3x)
\int\:_{t}^{3t}\frac{\sin(x)}{3x}dx
integral from-3 to 9 of 3x-9
\int\:_{-3}^{9}3x-9dx
integral from 0 to 1 of 5xe^x
\int\:_{0}^{1}5xe^{x}dx
integral from pi/3 to pi of |cos(x)|
\int\:_{\frac{π}{3}}^{π}\left|\cos(x)\right|dx
integral from 0 to 1 of 3x^2-1
\int\:_{0}^{1}3x^{2}-1dx
integral from 0 to 0.3 of ln(1+x^2)
\int\:_{0}^{0.3}\ln(1+x^{2})dx
integral from-2pi to 2pi of x*sin(0.5x)
\int\:_{-2π}^{2π}x\cdot\:\sin(0.5x)dx
integral from 1 to 3 of (2x)/((x^2+2)^2)
\int\:_{1}^{3}\frac{2x}{(x^{2}+2)^{2}}dx
integral from 1 to 2 of (2x^3-2x^2-4x-1)
\int\:_{1}^{2}(2x^{3}-2x^{2}-4x-1)dx
integral from-pi to 0 of 4x^4
\int\:_{-π}^{0}4x^{4}dx
integral from 1 to x of (sin(x))/x
\int\:_{1}^{x}\frac{\sin(x)}{x}dx
integral from 0 to 1 of e^{-(x+y)}
\int\:_{0}^{1}e^{-(x+y)}dx
integral from 0 to 4 of x/(sqrt(16+5x))
\int\:_{0}^{4}\frac{x}{\sqrt{16+5x}}dx
integral from-4 to 4 of e^x
\int\:_{-4}^{4}e^{x}dx
integral from 0 to 1 of (5x^e+3e^x)
\int\:_{0}^{1}(5x^{e}+3e^{x})dx
integral from 0 to 1 of sin(pi)xcos(pi)x
\int\:_{0}^{1}\sin(π)x\cos(π)xdx
integral from t-2 to 0 of (x+2)
\int\:_{t-2}^{0}(x+2)dx
integral from 0 to 1 of (6-9x^2)
\int\:_{0}^{1}(6-9x^{2})dx
integral from 0 to 4 of (3x+sqrt(x))
\int\:_{0}^{4}(3x+\sqrt{x})dx
integral from 3 to 7 of t^5ln(t)
\int\:_{3}^{7}t^{5}\ln(t)dt
integral from 0 to 2 of (x^2)/(x^3+3)
\int\:_{0}^{2}\frac{x^{2}}{x^{3}+3}dx
integral from 0 to 1 of xsinh(x)
\int\:_{0}^{1}x\sinh(x)dx
integral from 0 to 3 of x^2-3
\int\:_{0}^{3}x^{2}-3dx
integral from 0 to pi/4 of tan(θ)
\int\:_{0}^{\frac{π}{4}}\tan(θ)dθ
integral from 1/2 to 1/3 of cos(pi*x)
\int\:_{\frac{1}{2}}^{\frac{1}{3}}\cos(π\cdot\:x)dx
integral from 0 to 3 of x^3-6x^2+8x
\int\:_{0}^{3}x^{3}-6x^{2}+8xdx
integral from 0 to 1 of (x+9sqrt(1-x^2))
\int\:_{0}^{1}(x+9\sqrt{1-x^{2}})dx
integral from 0 to ln(5) of e^{x-e^x}
\int\:_{0}^{\ln(5)}e^{x-e^{x}}dx
integral from 2 to 4 of (x^2-6x+9)
\int\:_{2}^{4}(x^{2}-6x+9)dx
integral from 0 to 2 of (x+5)
\int\:_{0}^{2}(x+5)dx
integral from 0 to 2 of 5^{4x}
\int\:_{0}^{2}5^{4x}dx
integral from 0 to 10 of kx
\int\:_{0}^{10}kxdx
integral from 1 to e^4 of (5-x)e^x
\int\:_{1}^{e^{4}}(5-x)e^{x}dx
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