Given a 6t+34 and y 21f2 +122 dx (i) dt (ii) .(write the simplified answer) ||

Q: a) Evaluate (14x6 - 3x² + 2) dx b) Evaluate foo (14x6 (14x6 -3x²+2)dx

A:

Q: f (x) »J3+X and glta)- 4-5x ?? D) (gof)16) ??

A:

Q: S (3×÷12x -15)% 2dx +12メ -15)2

A: Here we have to find the value of     ∫ 2dx/(3x2+12x-15)

Q: (c) Show that (AB)² + (A x B)² = (AB)².

A: Given ( A.B )2 + ( A×B )2 = ( AB )2

Q: dx X -2x+5

A: Given that: ∫xx2-2x+5dx

Q: (Vx – 1)5

A:

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: 44. (-x + 4x – 5) dx -2

A:

Q: x dx Evaluate (4a² +9x?) 2

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Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: Which of the following do not equal (4r - 6x?)? dx 12x2 + 12 (a) 12x + 12 (b) 12 (c) 12x2 + (d) 12x…

A: we have to find the options which are not equal to d4x3-6x-2dx: a  12x2+12x3b  12x5+12x3c…

Q: 3r 75

A:

Q: 10x + 2 | x3 – 5x2 +x-5 dx; use A x-5 + Bx + C x² +1

A: The given integral is (10x+2)/(x3+x-5)

Q: 2 J1 4 30x(x - 1)¹dx is

A: given integration

Q: x5 dx 3 (36x2 + 1)7

A: I am attaching image so that you understand each and every step.

Q: (4x² – 5x)5(8x – 5) dx

A:

Q: d [(5 – 3x – 4x³)5(3x – 4)] dx

A: Derivative using product rule.

Q: x? + 13x – 48 = (x – 3)(x 6. x? + 17xy – 60y? = (x + 20y)(x.

A: Given, x2+13x-48

Q: x3 – 3xy2 = c

A:

Q: S 2x/6-7x dx 6.

A: Using substitution method.

Q: 3√3 dx √3 x² √√x² +9 2

A:

Q: (2x+4) 2x+8x+d de

A:

Q: |x + 2| dx -4

A:

Q: √x√√7-x² d dx - S

A:

Q: Evaluate ·S dx 2 ²√x²-9

A:

Q: S7=1−1/√2+1/2−12/√2+14−14/√2+1/8.

A: Given:

Q: (x'.3 + 7x25) dx + 7x²5

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

Q: d 4х +11 15. In((x + 1)(2x + 9)) dx (x + 1)(2x + 9)

A: Given:ddxlnx+12x+9