d (cot x) show that – csq² x. dx

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral.…

A: By applying  trigonometric substitution

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Q: Find and simplify th. dx cot x 1. y = 1+ cotx

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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Q: 2. Find [cot (x)sin* (x)dx

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

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A: We have to differentiate cos xsin x with respect to tan xsec x

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A: To prove: d(tan u)/dx = sec2u (du/dx)

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A: Odd function :- When the function is of the form f(-x)=-f(x) i.e., when the value remain same but…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: . Consider point (a, b) on the graph of y = Inx and triangle ABC formed by the tangent line at (a,…

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Q: tan x e sec x dx

A: Given,  ∫0π4etan x sec2 x dx

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Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: What is sin x ? dx

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Q: Prove d [sin-! lu(x))]= I dx dulx) %3D NI- Culx)]? dx

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Q: use Eq. (8) to find dy/dx at the given point.  (sin 2θ , cos 3θ ), θ = π/6

A: Solution:Given   (sin2θ, cos3θ),     θ=π6To find dydxFormula:ddxsin θ=cosθddxcos θ=-sin θ

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Q: Use Trigonometric Substitution to evaluate |x'V1-x° dx

A: put x= sin t for trigonometric substitution.

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Q: Find the concevity. point of infleetion, of fluj n=770 Also explain it jeometrically

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Q: S( tan + cot )2 dx. | 3 3

A: We will simplify integrant using trigonometric identities

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Q: 8. fx,y) = sinx cos y

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Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx…

A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.