8. State why the following integrals are improper, then evaluate each integral and state whether it con- verges or diverges. (a) L da 1+ x2 (b) xe- dr

Q: c) f t√t + 4 dt e) S X 25+16x² dx 25+16x² d) f 25 dx x (19wansoy dilquma) dx 25+16x² f) S

A:

Q: -1 tanx 4. 1+x?

A:

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: find formulas for the functions represented by the integrals.

A:

Q: u= 4-xneduce the ntegral to standand ferm Sonm dx 4-x)=

A: ∫x64-x72dx In this problem we need to reduce the given equation into standard form and solve the…

Q: 3. Evaluate 5 sin rdr

A:

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: – dx x Inx x²+1

A:

Q: B. Get the integral of the given function

A:

Q: . Evaluate the following integrals. 131 12-22--y // |v(x + 2)dzdydzr dzdydz -12 0

A:

Q: Use the values rx) dx = 7 and dg(x) dx = 3 to evaluate the definite integral. (a) (x) + g(x)] dx (b)…

A: