Q18: Select the incorrect step while evaluating J x2-7x+10 dx. x-8 I: Let I = S- dx = S dx - S dx x2-7x+10 x2-7x+10 x2-7x+10 II: I =S; o dx – ; 2x-7+7 8 - S 2x-7 dx = ,J 2-7x+10 dx – 2 x2-7x+10 x2-7x+10 1 dxe J x2-7x+10 III: I = S dx - - 2х-7 1 zdx x2-7x+10 |x- IV:1 = log|Vx² – 7x + 10|– 3log| + Ce |x-2 (a) Only II- (b) Only III- (c) Only IV (d) All are correcte

Q: Let a > 16 be a constant. Evaluate 42 + 40z + 68 + 2a dz (4x + a)(z² + 8x + 17)

A:

Q: x = 1 only if x2 = x.

A:

Q: dx x2 - 2x + 82 ||

A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: J(x-3x)dx = x' 3x +C 2 -3х + С 4 b. 3x-3+C 3x+C 4 4x* -6x +C

A:

Q: fx*V5-x°dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: (2+In x)' 7.

A:

Q: .3 5x²+6 Jx P = (xーア (ス+1) 52+7ス+8 Jx T = J (x+2) (x²+25)

A:

Q: Find f(5x5 + 6x²) dx

A:

Q: (x* - 4x² + 6) dx = 2*. (x4-4x2+ 6) dx Select one: O True O False

A:

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

A:

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: Evaluate 4x2 + 4x + 5 dx

A:

Q: dx Evaluate f 4x- +4x+5

A: We have integral  I  = ∫dx4x2 + 4x + 5 Take 4 common from the denominator, we get I  = 14∫dxx2 + x +…

Q: 2x³+1 Evaluate / 7+x-6 dx

A:

Q: Vx² - 2x + 3 dx

A:

Q: 1) Evaluate (6vx + 6x²)dx.

A: Dear student as per our rule we can solve one question in one session. Please post the other…

Q: Given y=63x+1, find y". A 3x(3x+1)63x-1 B (9)63*+1 © 63x+1 D (3in6)263*+1

A: Given, y =63x+1 then y'' = ?

Q: Differentiate y = (9x - 1)³. y = 8/9x - 9+

A:

Q: 7 + Vx + x dx

A:

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A:

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: x+1 3. Jx2 + 2x

A:

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A: