c - [² x ² (1 - √x ) ³dx 0

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: Solve the following. Identify any separate piece of paper to be tur x-(3)/(x+1)=(3x)/(x+1).

A:

Q: (x+ d

A:

Q: 1 xdx 0 1+x4

A: ∫01xdx1+x4

Q: 1 2 √x² x + 10x + 61 S -dx =

A:

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: +). L x-1 dx -1x2+1

A:

Q: (3-5x) 2. (3- 1y(r – 1) d (3х - 1) (х —1)2

A:

Q: Simplify. 2 [5x 5y2 0]

A: We need to simplify the given expression.

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: a) 13/5 x (3/4) ÷ (4/5 – ½) =  b) Solve 3(x – 5)/3 = 2(2x – 1)/5 + 1

A: Given:  a) 135×34 ÷45-12 =? b) Solve 3(x – 5)3= 2(2x – 1)5 + 1.

Q: dx x²(81+x*)3/4

A: Given integral is: I=∫dxx2(81+x4)34 Let us substitute:…

Q: 17 X 1/5 / 1/2 X 3=?

A: Given:Type 1

Q: (² X x2 + 4x + 13 dx

A:

Q: Use the method of completing the square of the denominator to integrate x+2 x²-6x+10 dx

A: In the given integration we have to integrate by squaring of the denominator.

Q: (2x3 3 X 15

A:

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: J x(x² + 3)5 dx

A:

Q: |(6x? - 5x+ 4/x - +1)dx

A: Solve the following integration

Q: 12. (2 + 5z)e/3 dr

A:

Q: [ (1 + 2x) dx 12

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

Q: 1/3 x 3 + 7

A: Using bodmas  First bracket then division then multiplication

Q: Evaluate x2 dx

A: Use rules of integration

Q: 2. Find the quotient and remainder of the following functions by long division. Write the answers in…

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Q: 81 +x + 41 -x Evaluate

A: Introduction :--

Q: find X far 1o93(X=6x) = 3 STOBLRRY

A: Given: log3x2-6x=3

Q: x (1+x²) dx

A: Let, I=∫x1+x2dx  ............(1) Substitute, u=x2+1 dudx=2x dx=12xdu Put these values in equation…

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

A: