iv) Evaluate fsin' x cos² x dx .

Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: Differentiate y = In (cos² 3x).

A:

Q: Evaluate (3x + cos 4x) dx

A:

Q: S(sinx – cosx)²dx COoSx

A: Given, ∫sinx-cosx2dx  We have to find the integral.

Q: Number 23

A: we have to find definite intregral of given question

Q: 1. A. f sin 2x cos 5x dx B. f cos 2x cos 3x dx c. ftan³x sec5x dx

A:

Q: (tan V) (sec V) b) Evaluate dx

A: Given integral: I=∫tan4(x)sec2(x)xdx

Q: 6. f tan x secx+4 cos x - dx

A:

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: b) S. cos x cos 7x dx

A:

Q: Lim メートo Cos aX Cos bX

A:

Q: 1– cos(x) y = = csc(x) – cot(x) sin(x)

A:

Q: ,2 Compute x² cos(x³ + 3) dx

A:

Q: x.tan 2x - 2x.tan x pute Lt (1.cos 2x)

A:

Q: Evaluate 3 cos z sin" e dz.

A:

Q: 3) cos-1x. dx

A:

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: dx xtan x Evaluate secx+cosr

A: Explanation of the answer is as follows