Evaluate the definite integra e Inx dx

Q: 47. fax√x² + a² dx (a > 0)

A: We have to evaluate the definite integral.     According to our guidelines we can solve only one…

Q: Evaluate the definite integral.

A:

Q: c. There are four oranges, five pineapples, and three mangoes. Suppose you are to make a juice using…

A: c. Given that there are 4 oranges, 5 pineapples and 3 mangoes. Suppose you are to make a juice using…

Q: Use familiar area formulas to evaluate the definite integral.

A: Given information: definite integral ∫341-x-32dx

Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25…

A: Given information: The data of the salaries (in thousands of $) of the Construction workers and…

Q: So 2"dx.

A:

Q: The least value of the expression 2log10x – log(0.01), for x > 1, is- (A) 10 (В) 2 (С) -0.01 (D)…

A: This is very complicated and lengthy problem,so I can do it in Advanced Mathematics.

Q: et + dx

A:

Q: 0,6 (2,943 +((20 . so0 X)(1 - V0,36+ X 0,6 0,9

A:

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Integrate x² √6 +25 1 dx + C

A:

Q: evaluate the definite integral.

A:

Q: Find dt

A: We have to slove derivative

Q: Use familiar area formulas to evaluate the definite integral.

A: Given, ∫24(2x-3)dx

Q: Evaluate the definite integral

A: Given,

Q: 2 e-t + 3te5-t dt.

A: Given : ∫12e-t+3te5-t2dt

Q: 4x2 3.

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.