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

Q: Differentiate f(w) = sinw + w²tan-1w

A: We have to find differentiation of given function.

Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

A:

Q: Use the product rule to differentiate the function h, where a and b are real numbers. h(x) = e¯ax…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: t' sin(2t n(21*)dt Evaluate

A:

Q: Let f(x)=tan−1x. Characterize the interval (a,b)(a,b) such that f-1 (a,b) is empty.

A:

Q: integral of 7e7x dx

A: Evaluate the given integral as follows.

Q: Find all the analytic functions for ReZ=Im f(z)

A: Find all the analytic functions for ReZ=Im f(z)

Q: -1 Integrate Jxsin 'dx

A: To evaluate : ∫01x sin-1x dx

Q: the integral / xe Evaluate the integral xe4x dx

A:

Q: What is the integral representation of the beta function, and how does it relate to the gamma…

A: We have to find the integral representation of beta function and its relation to gamma function.

Q: Find the maximum value of  sinx+cosx at [0,pi]

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: arcsin(x) dr -2

A: We will find integration by using product rule of integration. Taking sin-1(x) as first function.

Q: Prove that dl = (Vu) x (Vv) - do.

A:

Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: Differentiate the following function: u' = = u = √√ +² +6√√√+³

A: Differentiate both sides with respect to 't'

Q: please show where the absolute stripes of " ln|y-1| " go?

A: Consider the differential equation , , where .The solution is .Also observe that thegeneral solution…

Q: sinx cos

A:

Q: Evaluate the integral sec(theta)/sec(theta)-tan(theta) d(theta) A. sec2(theta) - tan(theta) + C B.…

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.