Fundamental Theorem of Calculus, dx = . If we
evaluate the integral at the limits, we get = .
6. 2
According to the Fundamental Theorem of Calculus, cos x dx = sin = sin − sin
= 2.
7.
First, let’s rewrite the integrand: dx. Now, according to the
Fundamental Theorem of Calculus, = = =
= .
8.
According to the Fundamental Theorem of Calculus, (x^4 − 5x^3 + 3x^2 − 4x − 6) dx =
= + − 0 = − .
9. 0
According to the Fundamental Theorem of Calculus, =