1-X let dx , write the integral by using Beta function

Q: (b) 12 sec² 3x 1.² 0 6 + tan 3x dx

A:

Q: dx 2sin x+3 cosx-5 Compute the integral.

A: we have to compute : ∫dx2sinx+3cosx-5

Q: -1 Integrate Jxsin 'dx

A: To evaluate : ∫01x sin-1x dx

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: 2- dr Va2 + 1 Evaluate the integral

A:

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: dx x/3+6x

A: We can use method of substitution in order to solve the given problem.

Q: find integral by Beta function -x?)ž dx O otherwise 3 VE

A:

Q: Evaluate the integrals

A:

Q: Evaluate the integral Jx* cos 7x dx

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.