Good afternoon,

can you help me with those questions

1.

Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form. 25r# dr 17 - 5 5, U=7-15 . . . 25r# dr 17 - 5Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles. y = 16 -x2 between x = - 4 and x = 4 For two rectangles, area ~ . (Type an integer or a decimal.) For four rectangles, area ~ . (Type an integer or a decimal.)antiderivative.) Guess an antiderivative for the integrand function. Validate your guess by differentiation and then evaluate the given definite integral. (Hint: Keep in mind the Chain Rule in guessing an 6 x dx 5 18+ x 2 . . . 6 x dx 5 18 + x2 (Type an exact answer, using radicals as needed.)