S(4x3 +dx 2 Evaluate :

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: Evaluate: dr 3x?++C 4 A B +C 3x3 3x2+ +C 4x3 +

A:

Q: 9x2 - x3 + 4x 8x + 20 dx. Evaluate Since x + 4x = x(x² + 4) can't be factore

A:

Q: dx Vx² +9x² (In x³ )° 2

A:

Q: dx Evaluate f 4x- +4x+5

A: We have integral  I  = ∫dx4x2 + 4x + 5 Take 4 common from the denominator, we get I  = 14∫dxx2 + x +…

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: Evaluate: / sec (5x + 1).5dx

A:

Q: (2x²– 4x + 4) dx Evaluate: -1

A: This is a basic definite integration problem

Q: Q7. Evaluate the following: (x+3)dx -5 -2

A:

Q: Evaluate: Зх — 4 dx J 3x² – 8x + 5 ..2

A:

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: x+4 c) Evaluate dx х3 + 3x2+ 2х

A: We have to evaluate the given integral.

Q: IT 5tan(3x) dx 12

A: Given ∫π12π95tan(3x) dx

Q: dx Evaluate 34 N2 + 3x - 2x

A:

Q: Evaluate: (x+1)x* +4)* dx x +1 x² +4 + 4

A: This question is taken from Indefinite integral in which we have to find the integral value of the…

Q: dx (V2x + 5 – V2x + 3)

A: First rationalize denominator then integrate

Q: Sxex² dx O 2+x²²/²/2/ HI HIN 6 1 2 HIN ex²+ + C + C + C

A:

Q: Evaluate f (5x* - 8x3 + 9x2 – 2x + 7)dx

A:

Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

A:

Q: c3 (3x² + 9y²) dxdy 2

A: To evaluate the integral

Q: х — 2 dx 4x2 + 4x + 1

A: We will use substitution and arrangements of terms to solve this integral

Q: dx Evaluate Jo 9x²+4

A: We use standard formula to solve this problem.

Q: Evaluate: dx (A 2/ e* -+C 3x B 2Vx - (x- 1)e*-2+C O 2V-+C et e D

A:

Q: dx 2. 5x² +16

A: Question:- ∫dx5x2+16   Solution:- I=∫dx5x2+16 I=15∫dxx2+1652            standard form of…

Q: P5: |V4- 9x?dx 4 –

A: Let's find.

Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…