46. 5 [² (2ƒ(x) - 38(x) dx 0

Q: 1 1 * (37) 8 X dx

A:

Q: s dx ²√x² x² - 81 x² x = 9 sec (0)

A: ∫dxx2x2-81

Q: 3 e3/x - dp- x2 83.

A:

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: 5x + 6x dx. Find х - 1

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: 24 Find rinc dx 2. 14x

A: Above integral can be calculated using the formula below,

Q: -9 dx (3x + 1)² 1

A: Solution: ∫1∞-9(3x+1)2dxTake the constant out=-9×∫1∞1(3x+1)2dx

Q: 0 0.6 x² -dx √9 - 25x²

A:

Q: Find ∫ x2 e-x dx

A: Given : ∫ x2 e-x dx

Q: 2 S(4x3 + )dx x+1

A:

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: dx 2+x?

A: Given, ∫dx2+x2 We have to integrate it.

Q: 1-x dx (x- 3Xx-2)

A:

Q: 5 x´ - 9 -9- +2)x dx X 5.

A:

Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: [ (1 + 2x) dx 12

A: The given integral is ∫25 1+2x dx. Evaluate as follows.

Q: 5x dx (x² + 3)2/3

A: We will use a substitution to solve the equation.

Q: X arccsc(x- + 13) dx 6. 10

A:

Q: S Vx + 3(x + 1)dx

A:

Q: x2 8. dx V9 – x2

A:

Q: ∫013 -1/(1+2x)2/3 dx

A:

Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

A: