let f(a) =∫_0 ^(π/2) (dx/(a+sinx)) (a real) 1)find a explicit form for f(a) 2) calculste also g(a)=∫_0 ^(π/2) (dx/((a+sinx)^2 )) and h(a)=∫_0 ^(π/2) (dx/((a+sinx)^3 )) 3)give f^((n)) (a) at form of integral 4) find the values of integrals ∫_0 ^(π/2) (dx/(3+sinx)) , ∫_0 ^(π/2) (dx/((3+sinx)^2 )) and ∫


Question and Answers Forum

All Questions Topic List
Integration Questions
Previous in All Question Next in All Question
Previous in Integration Next in Integration
Question Number 68869 by mathmax by abdo last updated on 16/Sep/19

$l e t f (a) = \int_{0}^{\frac{π}{2}} \frac{d x}{a + s i n x} (a r e a l)$ $1) f i n d a e x p l i c i t f o r m f o r f (a)$ $2) c a l c u l s t e a l s o g (a) = \int_{0}^{\frac{π}{2}} \frac{d x}{{(a + s i n x)}^{2}} a n d h (a) = \int_{0}^{\frac{π}{2}} \frac{d x}{{(a + s i n x)}^{3}}$ $3) g i v e f^{(n)} (a) a t f o r m o f i n t e g r a l$ $4) f i n d t h e v a l u e s o f i n t e g r a l s \int_{0}^{\frac{π}{2}} \frac{d x}{3 + s i n x}, \int_{0}^{\frac{π}{2}} \frac{d x}{{(3 + s i n x)}^{2}}$ $a n d \int_{0}^{\frac{π}{2}} \frac{d x}{{(3 + s i n x)}^{3}}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum