Compute the value of the improper integral. (If the integral diverges to oo, type oo; if the integral diverges to – ∞, type -oo; and if the integral diverges for some other reason, type DNE.) dx 17x In(x) is positive, continuous, AND decreasing. 17x Determine the (open) interval on which f(x) Enter irrational numbers as decimal approximations accurate to at least two decimal digits. In(n) Use your answer to help determine whether the series converges or diverges. Enter 17n n=1 C if the series is convergent, D if the series is divergent, or ? if the Integral Test does not apply:

Q: Evaluate each indefinite ir (b) (0) / I+6 dr

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Suppose ƒ is an even function with integralEvaluate each integral.

A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

Q: 1. Evaluate the definite integrals. -1/2 dx 1 4 b) f₁ 1 + 72 dr 1+x² 70

A:

Q: set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx

A: GRAPH

Q: 3. Consider the integral / sin x dx. (a) Evaluate the integral by an appropriate reduction formula…

A: Reduction formula

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.