Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

Q: What is the domain of sech-1 x? How is sech-1 x defined in terms of the inverse hyperbolic cosine?

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Q: 1 + tan² dx

A:

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

Q: 14. Evaluate: dt (a) (12 + 1)3/2

A: There are multiple question , as per company policy kindly ask other question separately.

Q: S(1+secx)³dx

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Q: S(1 + sinx)-1sinxdx

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Q: Evaluate fx - sec2 (5 - z) dz.

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Q: Evaluate sin dx

A:

Q: Evaluate tan (7x +1) sec³(7x +

A: Given that: ∫tan5(7x+1).sec3(7x+1)dx

Q: Use a trigonometric substitution to calculate xVx² + 4 dx

A: Consider ∫x3x2+4dx, Take x=2tanθ, dx=2sec2θdθ So,…

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: sinr 1. Show that

A:

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: [s sec³ x tan5 x dx

A: The given integral is sec3x tan5x.

Q: sinx find: - dx 3 cos2x +1

A: find ∫sinxcos2x+13 dx first lets simplify it and then find the integral