Nettet8. apr. 2024 · Solution For =(sinx)′sinx+sinx(sinx)′=(cosx)sinx+sinx(cosx)=2sinxcosx=sin2x प्रश्नावली 13.2 x=10 पर x2−2 का अवकलज ज्ञात कीजिए। 2. x=1 पर x का अवकलज ज्ञात कीजिए। x=100 पर 99x का अवकलज ज्ञात कीजिए। प्र NettetExplanation for the correct answer: Integrating the given integral: Let I = ∫ 1 1 + cos x + sin x d x We know that cos x = 1 - tan 2 x 2 1 + tan 2 x 2, sin x = 2 tan x 2 1 + tan 2 x 2 I = ∫ 1 1 + 1 - tan 2 x 2 1 + tan 2 x 2 + 2 tan x 2 1 + tan 2 x 2 d x = ∫ sec 2 x 2 2 1 + tan x 2 d x Substituting tan x 2 = t Differentiating 1 2 sec 2 x 2 d x = d t

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Nettet14. mar. 2024 · Evaluate the integral: ∫ex((1 + sin x)/(1 + cos x)) dx. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. NettetSolution Verified by Toppr ∫e x(1+cosx1+sinx)dx=∫e x( 2sec 22x +tan 2x)dx It is of the form ∫e x(f(x)+f(x)dx)=e xf(x)+c Putting, f(x)=tan 2x ∴f(x)=sec 22x(21)= 2sec 22x Thus, ∫e x( 2sec 22x+tan 2x)dx=∫e x(1+cosx1+sinx)dx=e xtan 2x Solve any question of Integrals … nabard grade a detailed syllabus

Integral of (sin x)/(1 + sin x) Calculus Trig Integrals - YouTube

Nettet30. mar. 2024 · Ex 7.2, 4 Integrate the function: sin . sin (cos ) Step 1: Let cos = Differentiating both sides . . . sin = / = /( sin ) Step 2: Integrating function 1 sin . sin (cos ) . Putting values of t & dt = 1 sin . sin . /( sin Nettet使用包含逐步求解过程的免费数学求解器解算你的数学题。我们的数学求解器支持基础数学、算术、几何、三角函数和微积分 ... Nettet21. mar. 2024 · 1 sinx cosx −sinx sin 2 x 1 )dx =\int\,e^x (cosecx\,cotx-cosecx)\,dx=∫e x (cosecxcotx−cosecx)dx =\int\,e^x (-cosecx+cosecx\,cotx)\,dx=∫e x (−cosecx+cosecxcotx)dx \begin {gathered}\boxed {\begin {minipage} {4cm}\textbf {Take }$\bf\,f (x)=-cosecx\\\\\bf\,f' (x)=cosecx\,cotx$\end {minipage}}\end {gathered} =\int\,e^x [ (f (x)+f' (x)]\,dx=∫e x medication for headache for pregnant