Nettet12. apr. 2024 · Hint: Here, use properties of definite integrals to convert sin x to cos x and add the two integrals. Using properties of logarithm, simplify the integral. Also using properties of trigonometric functions simplify the integral to get the result Complete step-by-step answer: Let I = ∫ 0 π 2 ln ( sin x) d x … (i) NettetHere is another solution: As we have cos(x) = eix + e − ix 2 = e2ix + 1 2eix we get: I = ∫π 20ln(cos(x))dx = ∫π 20ln(e2ix + 1)dx − ∫π 20ln(2)dx − ∫π 20ixdx By using the series …
Evaluate the Integral integral from 0 to 2pi of cos(x) with respect …
NettetEvaluate − 2π∫ 2π 1+e xcosxdx Medium Solution Verified by Toppr use property a∫bf(x)dx= a∫bf(a+b−x)dx using this I= − 2π∫ 2π 1+e xcosx I= − 2π∫ 2π 1+e −xcos(−x)dx add above two equation 2I= − 2π∫ 2π 1+e xcosx(1+e x)dx I= − 2π∫ 2π 2cosxdx=[ 2sinx] 2π 2−π=1 Solve any question of Integrals with:- Patterns of problems > Was this answer helpful? … NettetThe integration of the form is I = ∫ 0 π cos x d x First we evaluate this integration by using the integral formula ∫ cos x d x = sin x, and then we use the basic rule of the … miniised procedure
What is the integration of sin{x} from 0 to π/2? - Quora
Nettet27. des. 2024 · Evaluate ∫ ( (asinx + bcosx)/ (sinx + cosx))dx for x ∈ [0, π/2]. definite integration jee jee mains Share It On 1 Answer +1 vote answered Dec 27, 2024 by Rozy (42.1k points) selected Dec 27, 2024 by Vikky01 Best answer I = π/4 (a + b) ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET … NettetDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin … Nettet11. jun. 2024 · Evaluate : ∫(xsinx cosx)/(sin^4x + cos^4x) dx, x ∈ (0,π/2) asked Mar 20, 2024 in Definite Integrals by Vevek02 (28.2k points) definite integral; class-12; 0 votes. 1 answer. Evaluate: ∫(xsinx/(2 - … most powerful carpet cleaning solution