b) Given that dr+ dr = ln a. find the exact value of a. v16+9x 19+ 4x²

Q: Solve. log,(3x – 4) = log:(x + 2)

A: To solve the given equation

Q: 5x2 8 Find dx 4 9x

A:

Q: Determine the following: L  7/2e2x dx

A:

Q: х dx е 2

A:

Q: dx /2 4x'

A:

Q: (ii). A girl spends of her pocket money on snacks and 7. of what 8. is left on clothes. If she has…

A: (1) Let pocket money is x, then money spent on snacks = 37x Now,  Money spent on clothes =…

Q: S 3x(ln(42x))²dx

A:

Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: 6x to 7/2 power -42=0

A:

Q: 13 dx (1+5x)

A:

Q: Solve 7(1/2)x= 7/8 for x

A:

Q: Given n(L) = 730, n(M) = 230 and n(L N M) = 50, find n(LU %3D

A: let n( u) L and M be two events  n (LUM) = n (L) + n (M) - n( L∩M) formula

Q: Evaluate (3x? – 4x + 5) dx from a= 0 to b=3. 0 6 O 12 O 18 O 24

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: Suppose that the value (in $) of a car is described by V(t)=16,200(0.97)t, where t is the number of…

A: Given: Value of a car described by V(t) (in $) V(t)=16,200(0.97)t t number of years.

Q: (1/64)3n x 8 =26

A: Formula:

Q: 2 1 = [14²x dx 0

A: For solving this integral let us substitute 142x=t . Now on differentiation,we get…

Q: Integrate the following 3-4x :dx 4x2-6x+e² ·S a.

A:

Q: Evaluate the following intergral

A: Step 1: Step 2: Step 3: Step 4:

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…

Q: 8. In Vx + 3 = 2

A:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: Determine the value of the constant k, such that 4 √x²2x1dx = 1.90038. Give your answer correct to 3…

A:

Q: 323 dx 13-2x4

A: Use substitution method