Find the points of discontinuity of the integrand on the interval of integration, and use area to evaluate the integral. 8) 2-9 dx X+3 -8 A) 3, 8 B) -3, -13 C) -3, 8 D) 3, -13

Q: Find the integral

A: Given integral, ∫x16+8x2dx

Q: 7. (x² + 3)² dx -2

A:

Q: Find the L{3sin4x} 1 show all the derivation using integration by parts

A:

Q: I) S dx/ (x² + 4x + 3) find integral

A:

Q: Evaluate the integral. (3 + 4x) V 5 + 6x + 4x2 dx

A: we have to solve integration

Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: 3 4 Sx-3 dx x2+8x+41 (x+2)2 x2+9

A: Given,          ∫2x-3+3x+22+4x2+9+5x2+8x+41dx

Q: integral

A: We will find the solution m

Q: use integration by ports 2. ) x Ln x dx

A:

Q: Il-Find the following integrals by suitable substitutions 1 - x. (9 + x2)) 18.dx 2- 2XVX2 + 10.dx

A:

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: Evaluate the integral

A:

Q: QUESTION 9 (8 points) Use a change of variables to evaluate the following definite integral. S 6x dx…

A: The given integral is:∫12​(3x2+4)36x​ dx a.) Let u be the expression inside the parentheses in the…

Q: o f dx/ (x² + 4x + 5) find integral

A:

Q: Evaluate the integral. Use integration by parts Sco-t x dx x cos'x+ V1 - x2 +C O x cos'x - 2V1 - x²…

A: Given query is to find the integral fo cos-1x.

Q: 4x²+3x+2 dx x²(x+1)

A: To integrate the given function.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.