Compute the definite integrals
∫π6π3tan(x) dx\displaystyle\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \tan (x) \ dx∫6π3πtan(x) dx and ∫−π3π3tan(x) dx\displaystyle\int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} \tan (x) \ dx∫3−π3πtan(x) dx
Evaluate the definite integral below
∫−22 x2cos(x38) dx\displaystyle\int_{-2}^2 \ {x^2 \cos{(\frac{x^3}{8})}} \ dx∫−22 x2cos(8x3) dx
Evaluate the following definite integral
∫04 xx2+9 dx\displaystyle\int_0^4 \ x \sqrt{x^2 + 9} \ dx∫04 xx2+9 dx
Find the area under the curve over the interval [0,4][0,4][0,4]
f(x)=x2+1f(x) = x^2 + 1f(x)=x2+1
Find the area under the curve over the interval [1,4][1,4][1,4]
f(x)=2xf(x) = \frac{2}{x}f(x)=x2