Discurs the Cingulandy and poles f f(2) = (2-2)(2=0"(2+5646)(2+7}(24) * %3D

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: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x…

Q: X(35X [En(x) ? dx

A:

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: dx Find xVx+x+2

A:

Q: S cor 3ydx có

A: We need to find integral value.

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

A:

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: X2 dx ex+3

A:

Q: (2x-1) (3x + 4) dæ

A:

Q: (2æ + 5)² dx

A:

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: |(5z* + 3z*) (4x³ + 3x*)° dæ

A:

Q: (1 + 1)e dr 5.

A:

Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

A:

Q: Find sec 0. ? (7, V15)

A:

Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: x3-3 5). S dx V x11

A:

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Find the foci for (x-6)² 9 + (y-7)² 25 ww▪▪▪▪▪▪▪ 1

A:

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A:

Q: dx xV4x-1

A: To find: The integral of ∫dxx4x-1. Formula used: Integration formula: ∫dxx2+1=tan-1x+C

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: b. 3+V5-x 3I

A:

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.