Evaluate: ₂√1+t² dt = d dx 0√1+x² O √1 + x² - 5 x 1+x² x /1+x² H √5

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A: Solution is given below

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A: The integral is given by,

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Q: In x dx

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Q: Evaluate (3x? – 4x + 5) dx from a= 0 to b=3. 0 6 O 12 O 18 O 24

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

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A: As per guideline we have to solve

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A: Find and simplify the given function value .

Q: sechx=3/4 find coshx= Select one: a. 1/4 b. 5/4 c. -4/3 d. 4/3

A: Given that, sechx =3/4 the hyperbolic secant function is defined in the following way., sechx =…

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A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

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Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

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A: We have to find Derivative of given function using basic formulae and division rule of Derivative.

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Q: dx Use trigonometric substitution to find

A: Explanation and solutions is given below....