Definite Integral 3

Calculus Level 4

Evaluate : ∫ − 4 − 5 e ( x + 5 ) 2 d x + 3 ∫ 1 3 2 3 e 9 ( x − 2 3 ) 2 d x \displaystyle{ \int^{-5}_{-4}e^{(x+5)^{2}}\text{ d}x+3\int^{\frac{2}{3}}_{\frac{1}{3}}e^{9(x-\frac{2}{3})^{2}}\text{ d}x}

1 4 \frac{1}{4} N o n e None e e 1 2 \frac{1}{2} 1

Tanishq Varshney by Tanishq Varshney , 23, India

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2 solutions

Aniket Sanghi
Sep 11, 2016

For 1st substitute x+5 = t

And for second one substitute 3 ((2/3) - x) = t

You will see that , they perfectly cancel each other and answe comes out to be zero! :)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Incredible Mind
Feb 23, 2015

for both ...if lower limit be 'a' and upper limit be 'b'

then put x=a+(b-a)u..and continue to find

I-I=0..ANS

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yaa, answer comes out to be 0

Aditya Kumar - 6 years ago

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