Hi please answer the following showing all steps. Thank you

example:

EXAMPLE 1 Applying properties of integrals and the power rule Use the power rule to evaluate S Vt (1 + t) dt. SOLUTION We begin by rewriting the function in the integrand and simplifying so we can apply the power rule. SVt (1 + t) dt = Stz (1 + t) dt (rewrote a as a raised to a power) = ] (tz + tz) dt (distributedt? ) - + )In (mentally applied the sum property; applied the power rule, f a da = " n+i when n * -1, to each term in the integrand; used the notation F (x ) |% to denote F (b) - F (a)) = (3tz + 3tz ) |1 (simplified the complex fractions) - 3(4) = + 3(4) 2)-(3(1) 2 + 3(1)2) (performed F (2) | = F (b) - F(a)) = 272 15 15 (performed the arithmetic operations in each set of parentheses) 256 15 Therefore, S vt (1 + t) dt = 256 15Find the definite integral of f (x ) = x2 - 3xc over the interval [1, 3]. After setting up your definite integral, be sure to show your work as demonstrated in Example 1 on the previous page. Please organize your work and write neatly.In the previous question, you found the definite integral of f (x ) = x2 - 3x over the interval (1, 3]. Enter your numerical answer here. If necessary, round to 4 decimal places.Find the definite integral of f (0) = sec 0 over the interval After setting up your definite integral, be sure to show your work as demonstrated in Example 1 on the previous page. Please organize your work and write neatly