Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se sin(In x) dx

Q: dy Q10., Solve (1+ x²) + y = tan¬1x. dx

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Q: 1. 2. (√ex + (ex)³) dx /22sinx cos x dx

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Q: Evaluate f x'V 1+4x² dx.

A: Consider the definite integral ∫01x21+4x2 dx to evaluate this, first evaluate the indefinite…

Q: Calcula te Y Sin X dX ,n=Lo by SimPSon rule

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Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: sin(2t +) dt = 64 7.

A: Note the formula for the integration by parts : ∫utvtdt=ut∫vtdt-∫dudt∫vtdt .

Q: 1. . x + 4 dx x² + 5x – 6

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Q: 18. S V1+x dx 1-х

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Q: | – (3x² sin x + 2) dx In r dx Je

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

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Q: S sin x In(1 + sin x) dx

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Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: sin(In x) dx

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Q: 1 dx J 2/3 (1+ x/3)

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Q: 18. f(tan 2x + cot 2x)² dx

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Q: 4. (a) Find dx (b) Using the result from part (a), evaluate. x So (1 + 22)3/2 (1+22)3/2 dx.

A: ANSWER : (a) ​  ANSWER : (b) ​

Q: c) Evaluate Ssin 3xcos 4x dx by using integration by part.

A: Given integral is: I=∫sin3xcos4xdx Simplifying it:…

Q: Q: Classify and Solve dy sin x dx sin x sin 2x +y cos x

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Q: 1+2x2 dx J x2(1+x?)

A: A detailed solution is given below

Q: j dx (2x-3) 15-12x+cx 2

A: As per the guidelines, we can be answered only for first question. Please repost the rest question…

Q: Use integration by parts to solve tan-1(2x) dx.

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Q: Use Trigonometric Substitutions dx 1. xVx +16 x*dx (x² – 1)"2 2. 3/2

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Q: integration for

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Q: sin x dx 2 (1+ cos x)² 12.

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