9 a) Evaluate the indefinite using integrals inte the method of substitution a) (4x+3)(x² + 3x)2⁰ d x

Q: 5) Evaluate the definite integral 2:5 – 4:x? dr.

A:

Q: Evaluate the integral ∫dx/1+2x2.

A: Given :

Q: x+4 Calculate the integral 7x+6x-x2

A:

Q: Integral of 2xln(1+x)

A: We will solve the integral.

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Evaluate the integral: · √2 9 1 + x² -dx

A:

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

A:

Q: -2 Evaluate the integral (6r +5)°dr.

A: We have to find the given definite integral.

Q: b) Rationalize the numerator of 1 1 √3x 3(x+h) h Simplify your answer to the form as h 0 J where A "…

A:

Q: Evaluate the definite integrals a) (92 + 4x + 9) dz b) | (2- 2)° dz (x4 r) da

A:

Q: Evaluate J sec3x cosecx dx

A: