a) [(1-5x)dx x (x+1) b) dx c) dx 2/x x

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: x' + x – 12x +1 dx. - Determine x +x –12

A: Using long division: x3+x2-12x+1=xx2+x-12+1

Q: (2x)√2x + 1 dx

A:

Q: Simplify : [√(x + h) - √x) / h

A:

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: dx Find xVx+x+2

A:

Q: dx x²Vx? - 4) (x)

A: By substitution method, solve the integration. Put x = 2sec(theta)

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: (i) ,(8x³ – 9x² + 8x + 9)dx |

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

A:

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: (4x² – 5x)5(8x – 5) dx

A:

Q: w (x) - 2x² + 5x + 3 X-1

A:

Q: 2sin(2x)=√3

A:

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: Let f(x) = 7x? 7x +3. Calculate and simplify the following expression where a + 6 f(b) – f(a) b- a |

A:

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: (x'.3 + 7x25) dx + 7x²5

A: Given, ∫x1.3+7x2.5dx  We have to find the integral.

Q: Find 2 / 9-4x² 2 9-4x² dx. dx =

A:

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: 2x2 – 8 х2 — 16 Ax) =

A: The function is given by fx = 2x2-8x2-16 To determine : The plot of the function

Q: x³ + x² + 2x + 1 - dx (x² + 1)(x² + 2)

A: take partial fraction

Q: x5-2x2 dx (ii) J Tr6-4x3

A:

Q: Q5: Evaluate f(secx)³ dx

A:

Q: Find:

A: