Evaluate the integrals below: etanx sec² x 3. a) V(1 – (elanx )2 :. dx, b) / cot5x. dy

Q: Evalaute the integration S cot?Vx dx Vx

A: Given:

Q: Find the larger area formed by x² + 3y² + 7x = 3 and 2x² – 6y = 5.

A: Integration of function expression under certain limits give the value of area between function…

Q: Find the radius of gyration of a plate covering the region bounded by y=3x, x=2, and the x-axis with…

A: Given: y=3x3   x=2

Q: dx Evaluate J, +6x+10 by dividing the interval into 8 equal parts by using Trapezoidal rule.

A: The integral ∫15dxx2+6x+10. We have to evaluate this integral by dividing the interval into 8 equal…

Q: 1 Evaluate : dx. (1+x)Vx -x X-X

A:

Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

A:

Q: y= In]3x+2)²/2x–1 dy 1. Find dx

A:

Q: cos(2y - x) = 3ysin x

A:

Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: Evaluate 4xcos 3x dx by using integration by part.

A:

Q: Find: 1. Sjs(x)dx

A: Given:

Q: Integrate the following: 4x 3. dx X + 1

A: We have to integrate the given problem.

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.