what is the integral of cos(6x)xsin(sin(6x)) from 0 to pi/12

Q: Find the indefinite integral.

A:

Q: Find the indefinite integral. ∫cos3 x sin4 x dx

A:

Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: Find the indefinite integral. Solution in handwritten a. S sin x -dx cos²x

A:

Q: Solve the integral. sin x dx 10. cos2 x + cos x – 2

A:

Q: Evaluate the definite integral from 0 to pi cos(299x)sin(301x) dp

A: Evaluate the integral∫0πcos299xsin301x dx

Q: Evaluate the integral.  integral sin 9  x cos 3x dx

A:

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

Q: Evaluate the integral.  integral  cos 2 x tan 3 x  dx

A:

Q: Evaluate the integral.  integral sin 3  x cos 5x dx

A:

Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

A:

Q: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

A:

Q: Find the indefinite integral. sin 60 V cos 6e de

A:

Q: evaluate the integral

A:

Q: Solve the integral. sin x dx 10. cos2 x + cOs x – 2

A: Given: ∫sinxcos2x+cosx-2 Let u=cosx, thendudx=-sinx and dx=-1sinxdu.…

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: Find the indefinite integral

A: The given indefinite integral is,

Q: Find the indefinite integral ∫ sin 8x cos 7x dx

A: ∫sin8x cos7x dx

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

A:

Q: The definite integral sin24x cos2x dx is equivalent to x/2 (A -sin²0 cos²0 d0 2 x/2 В 2sin20 cos40…

A:

Q: Evaluate the integral (exact value). 5n +1 eX sin(5x) dx = 2

A:

Q: 2 sin(x) cos(5x) cos(x) dx

A: To Integrate: ∫2sin(x) cos (5x) cos(x) dx

Q: cos13(x) sin (x) dx

A:

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: Evaluate the integral.  integral sin 9  x cos 5x dx

A: Given :           ∫ sin9 xcos5 xdx

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution :…

Q: sin(34x) dx 1 + cos-(34x)

A:

Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

A:

Q: Find the indefinite integral. sin3 70 V cos 7e de

A:

Q: The integral of the given function | sin22x cos 7x dx is equal . ....

A:

Q: Evaluate the integral ∫sin (2t + 1)/cos2 (2t + 1) dt

A: Given information: ∫sin2t+1cos22t+1dt

Q: evaluate the definite integral.

A:

Q: (a) Evaluate the integral sin* 4x cos3 4x dx

A: a) Evaluate the integral                                 ∫0π8 sin4 4x cos3 4x dx  Let us substitute…

Q: the integral of tan^2x cos^3xdx

A: we have to find integral of tan^2xcos^3xwe use following rule

Q: cos x dx

A: The given integral is ∫x2cos xdx We have to integrate the given integral using integration by parts

Q: Find the indefinite integral: | sin(6x) cos(3x) dx

A:

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

A:

Q: Evaluate the indefinite integral. ∫cos(2x)(9−sin(2x))^(1/2)dx

A: Given:

Q: Given the integral sin(3x + 5) dx cos(3x + 5)

A:

Q: S cos (2x) sin* (2x)dx a.

A: Solution: The objective is to evaluate the integral

Q: Evaluate the definite integral: 2 1 de sin 0 + cos 0 +1

A:

Q: the integral of tan^2 (x) cos^3 (x)dx

A: To evaluate the given trigonometric integral

Q: I co cos³ x sin x dx

A: Given problem is ∫cos3x sinxdx. Evaluate the integral. As we know the integral formula:…

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

A:

Q: Find the definite integral of sin x -dx 0 1+cos x

A: Given: I=∫0π2sin x1+cos xdx

Q: Evaluate the integral. 2 sin -1 x dx

A:

Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

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.