Evaluate the definite integral. sin(4t)dt

Q: Verify the value of the definite integral, where n is a positive integer.

A:

Q: "/2 cos* x dx /4 sinb x

A:

Q: Evaluate the definite integral. n/4 sin(t) dt cos²(t) COS

A: We have to find out

Q: Evaluate the definite integral. sin(t) dt cos?(t)

A: The given integral is, Let u = cos t. Then, du = –sin t dt. The upper limit changes to u = cos(π/6)…

Q: Evaluate the following definite integral sin(3t) dt.

A:

Q: dx 1 sin xcot;x

A: We need to evaluate the indefinite integral ∫dxsin12x cot12x Now, we will use the fact that cot…

Q: Evaluate the following integral. Л √4 sin *x dx 0

A:

Q: Evaluate the definite integral | 8 sin(æ)dæ

A:

Q: Evaluate the definite integral. sin(3t)dt 01

A: Hello,Thank you for the question. As per our guidelines, we are allowed to answer one question. So…

Q: Evaluate the definite integral. e !/x5 dx 1 to

A: We have to solve integration by put  1/x⁵ = t

Q: Find the value of the positive integer A so that: In A 1 sinh x dx 4 Jo

A: ∫0lnA sinhx=14 coshx0lnA=14 coshlnA-coshln1=14 coshlnA-cosh0=14 coshlnA-1=14 coshlnA=14+1…

Q: Find the indefinite integral ∫ sin 2t cos 9t dt

A: Given: ∫sin2tcos9tdt

Q: evaluate the definite integral.

A:

Q: Evaluate the definite integral. 7 cos(xt/2) dt

A:

Q: Evaluate the definite integral (cos(t), sin(t))dt

A:

Q: Evaluate the definite integral. 1/2 (sin x)16 dx xp

A:

Q: Evaluate the definite integral. Tt/14 cos(7x) sin(sin(7x)) dx

A: to find:- definite integral.

Q: Evaluate the definite integrals

A: We substitute cosx =t and sinxdx=-dt

Q: Find the definite integral: a-1 dx 1

A:

Q: Evaluate the definite integral. 5 cos(πt/2) dt

A: We have to find

Q: Evaluate the definite integral: T/4 sin(40) de =

A: We will evaluate the definite integral in the following step.

Q: Evaluate the definite integral. -7/6 sin(t) dt cos?(t) COS

A: We have to evaluate the definite integral…

Q: 3)Find the indefinite integral. S713 sin(t') dt

A:

Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: 16. Evaluate the integral:23 sin x dx.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following definite integral. S2 sin(2x)dx

A:

Q: Evaluate the definite integral. Tt/2 cos(t) dt 31 + sin(t)

A: Solve the intregal

Q: Evaluate the definite integral. 2 e 1/x5 dx х5

A: The given definite integral is,

Q: Evaluate the definite integral. 1/2 + a? dx (a > 0)

A:

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: (1) sin?x dx

A:

Q: TT 1 dx 1+ 2 sin? x

A:

Q: b) Calculate the following definite integral: [* (√x - 1) dx

A:

Q: Find the indefinite integral.∫(cos5 t/√sin t)  dt

A: Given information: The indefinite integral is ∫cos5tsintdt Trigonometric identities used:…

Q: Evaluate the definite integral on the interval [0, pi/4] sin(t) / cos^2(t)  dt

A: By substitution, we calculate the value of given integral.

Q: Evaluate the definite integral. ' sin(4t)dt 1/2

A:

Q: Evaluate the definite integral. 1 e dx

A:

Q: Evaluate the definite integral I (14e + 10z)dæ

A:

Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

A:

Q: Evaluate the definite integral. sin(4t)dt 0.

A:

Q: Evaluate the definite integral. t10 sin (t11) dt

A:

Q: Evaluate the definite integral. *a/6_sin(t) _ dt cos?(t)

A: Given, ∫0π6sintcos2tdt  We have to evaluate the definite integral.

Q: Consider the definite integral 10 300x dx 1+ e*

A:

Q: Evaluate the definite integral. 7 cos(t/2) dt

A:

Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

A:

Q: dx -(xvr -1)

A: Topic = Definite Integration

Q: T/° cos® 3 0de Co.

A:

Q: Find the indefinite integral. cos t dt sin t

A: Consider the given indefinite integral, ∫cos5tsin tdt use the trigonometric identity, cos2x=1-sin2x…

Q: х — 1 dx 2?(а + 1) 1

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.