:+B solle العنوان Anothe A. ∫ x2 sinxdx B.∫(x2 +1)inx dx C. fe* cosx dx [X+)) メー ۲/۱ T 江 M

Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: -(sinox) 6 d dcos³x

A:

Q: sec4 dx

A: The integral is . Let . Differentiating both sides.

Q: メ xペー4メt

A: Given: I=∫xx4-4x2+43dx  ....(1)   The Power rule: ∫xndx=xn+1n+1+C

Q: Evaluate |승 cosec22x dx

A: We have to find the indefinite integral

Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

Q: 14. Evaluate. dx xvx2-1

A:

Q: ýt 29-ty-osinx

A:

Q: 6x dx. Jo 1+x2 9. Evaluate

A:

Q: Simplify (/ da + dx ) completely. - 1 x2 t2

A: Given problem:-

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: 1. (a) Determine + 2x2 dx (b) Determine + 2x2 dx

A:

Q: -2e dx

A: Given : The integral is ∫ - 2 ex dx .

Q: dx 2+

A:

Q: 4 0 dx 1+ √x

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: 4. f 30x²5x³+3 dx e

A:

Q: Let  un = x4 + 7x2.  Find  du dx

A: un = x4 + 7x2.To find dudx

Q: By using completing the square dx can be written as

A: We will complete the square in denominator

Q: Se2x sec?e2x Vtan e2x + 2 dx

A:

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: Stan 3x sec 3x dx 3.

A:

Q: dx J V3 – 2x – x2

A: